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100422401031040 = 2751114264545601
BaseRepresentation
bin10110110101010101101001…
…100010100111101110000000
3111011120021202210101011220211
4112311111221202213232000
5101130310034130443130
6553325225242443504
730103164466516534
oct2665255142475600
9434507683334824
10100422401031040
1129aa79a0414770
12b31a64ab03594
134405a3a718c2a
141ab2682107bc4
15b9233cb10a2a
hex5b55698a7b80

100422401031040 has 64 divisors (see below), whose sum is σ = 261897057252720. Its totient is φ = 36517236736000.

The previous prime is 100422401031037. The next prime is 100422401031047. The reversal of 100422401031040 is 40130104224001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100422401031047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7132265761 + ... + 7132279840.

Almost surely, 2100422401031040 is an apocalyptic number.

100422401031040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100422401031040 is an abundant number, since it is smaller than the sum of its proper divisors (161474656221680).

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

100422401031040 is a wasteful number, since it uses less digits than its factorization.

100422401031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14264545631 (or 14264545619 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 100422401031040 its reverse (40130104224001), we get a palindrome (140552505255041).

The spelling of 100422401031040 in words is "one hundred trillion, four hundred twenty-two billion, four hundred one million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 14264545601 28529091202 57058182404 71322728005 114116364808 142645456010 156910001611 228232729616 285290912020 313820003222 456465459232 570581824040 627640006444 784550008055 912930918464 1141163648080 1255280012888 1569100016110 1825861836928 2282327296160 2510560025776 3138200032220 4564654592320 5021120051552 6276400064440 9129309184640 10042240103104 12552800128880 20084480206208 25105600257760 50211200515520 100422401031040