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23100032032 = 2571112773819
BaseRepresentation
bin10101100000110111…
…101000010000100000
32012121212210012201221
4111200313220100200
5334302102011112
614340105504424
71445304014110
oct254067502040
965555705657
1023100032032
119884402a70
1245881a2114
132241a1440c
141191ccb040
15902ebde07
hex560de8420

23100032032 has 96 divisors (see below), whose sum is σ = 57147310080. Its totient is φ = 8929025280.

The previous prime is 23100032027. The next prime is 23100032047. The reversal of 23100032032 is 23023000132.

It is a super-4 number, since 4×231000320324 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23100031997 and 23100032015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276019 + ... + 349837.

It is an arithmetic number, because the mean of its divisors is an integer number (595284480).

Almost surely, 223100032032 is an apocalyptic number.

23100032032 is a gapful number since it is divisible by the number (22) 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 23100032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28573655040).

23100032032 is an abundant number, since it is smaller than the sum of its proper divisors (34047278048).

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

23100032032 is a wasteful number, since it uses less digits than its factorization.

23100032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73974 (or 73966 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23100032032 its reverse (23023000132), we get a palindrome (46123032164).

The spelling of 23100032032 in words is "twenty-three billion, one hundred million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 127 154 176 224 254 308 352 508 616 889 1016 1232 1397 1778 2032 2464 2794 3556 4064 5588 7112 9779 11176 14224 19558 22352 28448 39116 44704 73819 78232 147638 156464 295276 312928 516733 590552 812009 1033466 1181104 1624018 2066932 2362208 3248036 4133864 5684063 6496072 8267728 9375013 11368126 12992144 16535456 18750026 22736252 25984288 37500052 45472504 65625091 75000104 90945008 103125143 131250182 150000208 181890016 206250286 262500364 300000416 412500572 525000728 721876001 825001144 1050001456 1443752002 1650002288 2100002912 2887504004 3300004576 5775008008 11550016016 23100032032