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30003100032 = 2731934911783
BaseRepresentation
bin11011111100010100…
…101111100110000000
32212102222010101211010
4123330110233212000
5442421243200112
621441102320520
72111335066563
oct337424574600
985388111733
1030003100032
11117a6a71144
125993b89140
132aa1c0c139
141648a144da
15ba903c63c
hex6fc52f980

30003100032 has 128 divisors (see below), whose sum is σ = 84137760000. Its totient is φ = 9446713344.

The previous prime is 30003100027. The next prime is 30003100073. The reversal of 30003100032 is 23000130003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30003099990 and 30003100017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2540413 + ... + 2552195.

It is an arithmetic number, because the mean of its divisors is an integer number (657326250).

Almost surely, 230003100032 is an apocalyptic number.

30003100032 is a gapful number since it is divisible by the number (32) 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 30003100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42068880000).

30003100032 is an abundant number, since it is smaller than the sum of its proper divisors (54134659968).

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

30003100032 is a wasteful number, since it uses less digits than its factorization.

30003100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12168 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 30003100032 its reverse (23000130003), we get a palindrome (53003230035).

The spelling of 30003100032 in words is "thirty billion, three million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 349 384 456 608 698 912 1047 1216 1396 1824 2094 2432 2792 3648 4188 5584 6631 7296 8376 11168 11783 13262 16752 19893 22336 23566 26524 33504 35349 39786 44672 47132 53048 67008 70698 79572 94264 106096 134016 141396 159144 188528 212192 223877 282792 318288 377056 424384 447754 565584 636576 671631 754112 848768 895508 1131168 1273152 1343262 1508224 1791016 2262336 2546304 2686524 3582032 4112267 4524672 5373048 7164064 8224534 10746096 12336801 14328128 16449068 21492192 24673602 28656256 32898136 42984384 49347204 65796272 78133073 85968768 98694408 131592544 156266146 197388816 234399219 263185088 312532292 394777632 468798438 526370176 625064584 789555264 937596876 1250129168 1579110528 1875193752 2500258336 3750387504 5000516672 7500775008 10001033344 15001550016 30003100032