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100401132040 = 23511679133601
BaseRepresentation
bin101110110000001011…
…1111011001000001000
3100121011010102221221221
41131200113323020020
53121110142211130
6114042412411424
710153014353446
oct1354027731010
9317133387857
10100401132040
1139641904590
1217560176b74
139610959391
144c0643bb96
15292957387a
hex17605fb208

100401132040 has 64 divisors (see below), whose sum is σ = 246482766720. Its totient is φ = 36503040000.

The previous prime is 100401132037. The next prime is 100401132043. The reversal of 100401132040 is 40231104001.

It is an interprime number because it is at equal distance from previous prime (100401132037) and next prime (100401132043).

It is not an unprimeable number, because it can be changed into a prime (100401132043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2971240 + ... + 3004840.

It is an arithmetic number, because the mean of its divisors is an integer number (3851293230).

Almost surely, 2100401132040 is an apocalyptic number.

100401132040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100401132040 is an abundant number, since it is smaller than the sum of its proper divisors (146081634680).

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

100401132040 is a wasteful number, since it uses less digits than its factorization.

100401132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40414 (or 40410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100401132040 its reverse (40231104001), we get a palindrome (140632236041).

The spelling of 100401132040 in words is "one hundred billion, four hundred one million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 6791 13582 27164 33601 33955 54328 67202 67910 74701 134404 135820 149402 168005 268808 271640 298804 336010 369611 373505 597608 672020 739222 747010 1344040 1478444 1494020 1848055 2956888 2988040 3696110 7392220 14784440 228184391 456368782 912737564 1140921955 1825475128 2281843910 2510028301 4563687820 5020056602 9127375640 10040113204 12550141505 20080226408 25100283010 50200566020 100401132040