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20001101032 = 2311192679397
BaseRepresentation
bin10010101000001010…
…001001010011101000
31220121220121012120201
4102220022021103220
5311430240213112
613104405001544
71305434360623
oct225012112350
956556535521
1020001101032
118534111270
123a623b32b4
131b699a1b33
14d7a4d0dba
157c0dd7257
hex4a82894e8

20001101032 has 96 divisors (see below), whose sum is σ = 43827009120. Its totient is φ = 8483460480.

The previous prime is 20001101009. The next prime is 20001101039. The reversal of 20001101032 is 23010110002.

It is not an unprimeable number, because it can be changed into a prime (20001101039) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2123758 + ... + 2133154.

It is an arithmetic number, because the mean of its divisors is an integer number (456531345).

Almost surely, 220001101032 is an apocalyptic number.

20001101032 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 20001101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21913504560).

20001101032 is an abundant number, since it is smaller than the sum of its proper divisors (23825908088).

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

20001101032 is a wasteful number, since it uses less digits than its factorization.

20001101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519 (or 9496 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20001101032 its reverse (23010110002), we get a palindrome (43011211034).

The spelling of 20001101032 in words is "twenty billion, one million, one hundred one thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 67 76 88 134 152 209 268 361 418 536 722 737 836 1273 1444 1474 1672 2546 2888 2948 3971 5092 5896 7942 9397 10184 14003 15884 18794 24187 28006 31768 37588 48374 56012 75176 96748 103367 112024 178543 193496 206734 266057 357086 413468 532114 629599 714172 826936 1064228 1259198 1428344 1963973 2128456 2518396 3392317 3927946 5036792 6784634 6925589 7855892 11962381 13569268 13851178 15711784 23924762 27138536 27702356 37315487 47849524 55404712 74630974 95699048 131586191 149261948 227285239 263172382 298523896 454570478 526344764 909140956 1052689528 1818281912 2500137629 5000275258 10000550516 20001101032