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13401132031100 = 22521152312328971
BaseRepresentation
bin1100001100000011000110…
…1101101101110001111100
31202110010122221012001000002
43003000301231231301330
53224031004244443400
644300221200053432
72552125354533542
oct303006155556174
952403587161002
1013401132031100
1142a742a734890
121605290004278
1376294b9b0a38
143448926a3d92
151838da641ed5
hexc3031b6dc7c

13401132031100 has 72 divisors (see below), whose sum is σ = 31730212636416. Its totient is φ = 4872205240000.

The previous prime is 13401132031097. The next prime is 13401132031141. The reversal of 13401132031100 is 113023110431.

13401132031100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134011320311002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4589615 + ... + 6918585.

It is an arithmetic number, because the mean of its divisors is an integer number (440697397728).

Almost surely, 213401132031100 is an apocalyptic number.

13401132031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13401132031100 is an abundant number, since it is smaller than the sum of its proper divisors (18329080605316).

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

13401132031100 is a wasteful number, since it uses less digits than its factorization.

13401132031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334227 (or 2334220 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13401132031100 its reverse (113023110431), we get a palindrome (13514155141531).

The spelling of 13401132031100 in words is "thirteen trillion, four hundred one billion, one hundred thirty-two million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 5231 10462 20924 26155 52310 57541 104620 115082 130775 230164 261550 287705 523100 575410 1150820 1438525 2328971 2877050 4657942 5754100 9315884 11644855 23289710 25618681 46579420 51237362 58224275 102474724 116448550 128093405 232897100 256186810 512373620 640467025 1280934050 2561868100 12182847301 24365694602 48731389204 60914236505 121828473010 134011320311 243656946020 268022640622 304571182525 536045281244 609142365050 670056601555 1218284730100 1340113203110 2680226406220 3350283007775 6700566015550 13401132031100