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100314422032 = 24115310754119
BaseRepresentation
bin101110101101100110…
…1001001101100010000
3100120221002021122012011
41131123031021230100
53120420443001112
6114030034112304
710150612342546
oct1353315115420
9316832248164
10100314422032
11395a7970020
121753711b694
1395c89b9a96
144bd8b09d96
152921b46aa7
hex175b349b10

100314422032 has 40 divisors (see below), whose sum is σ = 216028762560. Its totient is φ = 44737130880.

The previous prime is 100314422009. The next prime is 100314422051. The reversal of 100314422032 is 230224413001.

100314422032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1003144220322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100314421994 and 100314422012.

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, 5367732 + ... + 5386387.

It is an arithmetic number, because the mean of its divisors is an integer number (5400719064).

Almost surely, 2100314422032 is an apocalyptic number.

It is an amenable number.

100314422032 is an abundant number, since it is smaller than the sum of its proper divisors (115714340528).

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

100314422032 is a wasteful number, since it uses less digits than its factorization.

100314422032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10754191 (or 10754185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100314422032 its reverse (230224413001), we get a palindrome (330538835033).

The spelling of 100314422032 in words is "one hundred billion, three hundred fourteen million, four hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 4664 9328 10754119 21508238 43016476 86032952 118295309 172065904 236590618 473181236 569968307 946362472 1139936614 1892724944 2279873228 4559746456 6269651377 9119492912 12539302754 25078605508 50157211016 100314422032