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1030133130120 = 233256734251829
BaseRepresentation
bin11101111110110001011…
…10000010001110001000
310122110221202020001001100
432333120232002032020
5113334203040130440
62105123040021400
7134265442063233
oct16773056021610
93573852201040
101030133130120
11367971329616
12147791601860
13761ab104053
1437c0442841a
151bbe1ddb230
hexefd8b82388

1030133130120 has 96 divisors (see below), whose sum is σ = 3352908101400. Its totient is φ = 274293927936.

The previous prime is 1030133130053. The next prime is 1030133130121. The reversal of 1030133130120 is 210313310301.

It is a happy number.

1030133130120 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 331 + 301 + 2 + 0 = 666.

1030133130120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 752823463716 + 277309666404 = 867654^2 + 526602^2 .

It is a super-2 number, since 2×10301331301202 (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 = 1030133130093 and 1030133130102.

It is not an unprimeable number, because it can be changed into a prime (1030133130121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1883635 + ... + 2368194.

Almost surely, 21030133130120 is an apocalyptic number.

1030133130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030133130120 is an abundant number, since it is smaller than the sum of its proper divisors (2322774971280).

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

1030133130120 is a wasteful number, since it uses less digits than its factorization.

1030133130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252519 (or 4252512 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1030133130120 its reverse (210313310301), we get a palindrome (1240446440421).

The spelling of 1030133130120 in words is "one trillion, thirty billion, one hundred thirty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 673 1346 2019 2692 3365 4038 5384 6057 6730 8076 10095 12114 13460 16152 20190 24228 26920 30285 40380 48456 60570 80760 121140 242280 4251829 8503658 12755487 17007316 21259145 25510974 34014632 38266461 42518290 51021948 63777435 76532922 85036580 102043896 127554870 153065844 170073160 191332305 255109740 306131688 382664610 510219480 765329220 1530658440 2861480917 5722961834 8584442751 11445923668 14307404585 17168885502 22891847336 25753328253 28614809170 34337771004 42922213755 51506656506 57229618340 68675542008 85844427510 103013313012 114459236680 128766641265 171688855020 206026626024 257533282530 343377710040 515066565060 1030133130120