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100310222032 = 24171889195229
BaseRepresentation
bin101110101101011110…
…1001000010011010000
3100120220210101020212121
41131122331020103100
53120413404101112
6114025404104024
710150531550626
oct1353275102320
9316823336777
10100310222032
11395a5561549
1217535835014
1395c7b79187
144bd8335516
1529215b7407
hex175af484d0

100310222032 has 40 divisors (see below), whose sum is σ = 205893462600. Its totient is φ = 47179579392.

The previous prime is 100310221987. The next prime is 100310222041. The reversal of 100310222032 is 230222013001.

100310222032 is digitally balanced in base 3, 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 19713283216 + 80596938816 = 140404^2 + 283896^2 .

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 = 100310221997 and 100310222015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416194 + ... + 611422.

It is an arithmetic number, because the mean of its divisors is an integer number (5147336565).

Almost surely, 2100310222032 is an apocalyptic number.

It is an amenable number.

100310222032 is an abundant number, since it is smaller than the sum of its proper divisors (105583240568).

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

100310222032 is a wasteful number, since it uses less digits than its factorization.

100310222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197143 (or 197137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100310222032 its reverse (230222013001), we get a palindrome (330532235033).

The spelling of 100310222032 in words is "one hundred billion, three hundred ten million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 1889 3778 7556 15112 30224 32113 64226 128452 195229 256904 390458 513808 780916 1561832 3123664 3318893 6637786 13275572 26551144 53102288 368787581 737575162 1475150324 2950300648 5900601296 6269388877 12538777754 25077555508 50155111016 100310222032