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100403341024 = 2572101363211
BaseRepresentation
bin101110110000010000…
…0010110011011100000
3100121011021121012010011
41131200200112123200
53121111223403044
6114042532014304
710153042213600
oct1354040263340
9317137535104
10100403341024
1139643083198
1217560a61394
13961125097c
144c06854c00
15292985d134
hex17608166e0

100403341024 has 72 divisors (see below), whose sum is σ = 230172212088. Its totient is φ = 42986845440.

The previous prime is 100403341001. The next prime is 100403341069. The reversal of 100403341024 is 420143304001.

It is a junction number, because it is equal to n+sod(n) for n = 100403340986 and 100403341004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1556779 + ... + 1619989.

It is an arithmetic number, because the mean of its divisors is an integer number (3196836279).

Almost surely, 2100403341024 is an apocalyptic number.

100403341024 is a gapful number since it is divisible by the number (14) 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 100403341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115086106044).

100403341024 is an abundant number, since it is smaller than the sum of its proper divisors (129768871064).

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

100403341024 is a wasteful number, since it uses less digits than its factorization.

100403341024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64248 (or 64233 counting only the distinct ones).

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

Adding to 100403341024 its reverse (420143304001), we get a palindrome (520546645025).

The spelling of 100403341024 in words is "one hundred billion, four hundred three million, three hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1013 1568 2026 4052 7091 8104 14182 16208 28364 32416 49637 56728 63211 99274 113456 126422 198548 226912 252844 397096 442477 505688 794192 884954 1011376 1588384 1769908 2022752 3097339 3539816 6194678 7079632 12389356 14159264 24778712 49557424 64032743 99114848 128065486 256130972 448229201 512261944 896458402 1024523888 1792916804 2049047776 3137604407 3585833608 6275208814 7171667216 12550417628 14343334432 25100835256 50201670512 100403341024