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101010000032 = 2510934578377
BaseRepresentation
bin101111000010010101…
…0100100100010100000
3100122201120010122211022
41132010222210202200
53123332030000112
6114223042505012
710204056556004
oct1360452444240
9318646118738
10101010000032
113992456a077
12176b0065168
1396a9b3b4b6
144c63252704
152962c43d72
hex1784aa48a0

101010000032 has 48 divisors (see below), whose sum is σ = 200769889320. Its totient is φ = 50021203968.

The previous prime is 101010000031. The next prime is 101010000043. The reversal of 101010000032 is 230000010101.

It can be written as a sum of positive squares in 4 ways, for example, as 46778768656 + 54231231376 = 216284^2 + 232876^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 101009999974 and 101010000019.

It is not an unprimeable number, because it can be changed into a prime (101010000031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12053828 + ... + 12062204.

Almost surely, 2101010000032 is an apocalyptic number.

It is an amenable number.

101010000032 is a deficient number, since it is larger than the sum of its proper divisors (99759889288).

101010000032 is a wasteful number, since it uses less digits than its factorization.

101010000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11953 (or 11945 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 101010000032 its reverse (230000010101), we get a palindrome (331010010133).

The spelling of 101010000032 in words is "one hundred one billion, ten million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 109 218 436 872 1744 3457 3488 6914 8377 13828 16754 27656 33508 55312 67016 110624 134032 268064 376813 753626 913093 1507252 1826186 3014504 3652372 6029008 7304744 12058016 14609488 28959289 29218976 57918578 115837156 231674312 463348624 926697248 3156562501 6313125002 12626250004 25252500008 50505000016 101010000032