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1030120033032 = 233445715792203
BaseRepresentation
bin11101111110101111111…
…00000100101100001000
310122110220211120122020000
432333113330010230020
5113334141212024112
62105121451203000
7134265222544266
oct16772774045410
93573824518200
101030120033032
113679649a3582
12147789146460
13761a84998ac
1437c027b9436
151bbe0ba07dc
hexefd7f04b08

1030120033032 has 160 divisors (see below), whose sum is σ = 2894748146400. Its totient is φ = 342249566976.

The previous prime is 1030120033009. The next prime is 1030120033039. The reversal of 1030120033032 is 2303300210301.

1030120033032 is a `hidden beast` number, since 1 + 0 + 301 + 2 + 0 + 0 + 330 + 32 = 666.

It is a super-2 number, since 2×10301200330322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030120032996 and 1030120033014.

It is not an unprimeable number, because it can be changed into a prime (1030120033039) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 467597643 + ... + 467599845.

It is an arithmetic number, because the mean of its divisors is an integer number (18092175915).

Almost surely, 21030120033032 is an apocalyptic number.

1030120033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030120033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447374073200).

1030120033032 is an abundant number, since it is smaller than the sum of its proper divisors (1864628113368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1030120033032 is a wasteful number, since it uses less digits than its factorization.

1030120033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1030120033032 its reverse (2303300210301), we get a palindrome (3333420243333).

The spelling of 1030120033032 in words is "one trillion, thirty billion, one hundred twenty million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 457 648 914 1371 1579 1828 2203 2742 3158 3656 4113 4406 4737 5484 6316 6609 8226 8812 9474 10968 12339 12632 13218 14211 16452 17624 18948 19827 24678 26436 28422 32904 37017 37896 39654 42633 49356 52872 56844 59481 74034 79308 85266 98712 113688 118962 127899 148068 158616 170532 178443 237924 255798 296136 341064 356886 475848 511596 713772 721603 1006771 1023192 1427544 1443206 2013542 2164809 2886412 3020313 3478537 4027084 4329618 5772824 6040626 6494427 6957074 8054168 8659236 9060939 10435611 12081252 12988854 13914148 17318472 18121878 19483281 20871222 24162504 25977708 27182817 27828296 31306833 36243756 38966562 41742444 51955416 54365634 58449843 62613666 72487512 77933124 81548451 83484888 93920499 108731268 116899686 125227332 155866248 163096902 187840998 217462536 233799372 250454664 281761497 326193804 375681996 467598744 563522994 652387608 751363992 1127045988 1589691409 2254091976 3179382818 4769074227 6358765636 9538148454 12717531272 14307222681 19076296908 28614445362 38152593816 42921668043 57228890724 85843336086 114457781448 128765004129 171686672172 257530008258 343373344344 515060016516 1030120033032