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13401877125 = 353713607647
BaseRepresentation
bin11000111101101000…
…00110101010000101
31021120222222220020110
430132310012222011
5204421340032000
610053504423233
7653053035030
oct143664065205
937528886213
1013401877125
11575801270a
122720317b19
13135771c810
14911c9c017
15536886850
hex31ed06a85

13401877125 has 128 divisors (see below), whose sum is σ = 27534753792. Its totient is φ = 5637254400.

The previous prime is 13401877063. The next prime is 13401877133. The reversal of 13401877125 is 52177810431.

It is a happy number.

It is not a de Polignac number, because 13401877125 - 222 = 13397682821 is a prime.

It is a super-2 number, since 2×134018771252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20713552 + ... + 20714198.

It is an arithmetic number, because the mean of its divisors is an integer number (215115264).

Almost surely, 213401877125 is an apocalyptic number.

13401877125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13401877125 is an abundant number, since it is smaller than the sum of its proper divisors (14132876667).

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

13401877125 is a wasteful number, since it uses less digits than its factorization.

13401877125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 13401877125 in words is "thirteen billion, four hundred one million, eight hundred seventy-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 273 325 375 455 525 607 647 875 975 1365 1625 1821 1941 2275 2625 3035 3235 4249 4529 4875 6825 7891 8411 9105 9705 11375 12747 13587 15175 16175 21245 22645 23673 25233 34125 39455 42055 45525 48525 55237 58877 63735 67935 75875 80875 106225 113225 118365 126165 165711 176631 197275 210275 227625 242625 276185 294385 318675 339675 392729 531125 566125 591825 630825 828555 883155 986375 1051375 1178187 1380925 1471925 1593375 1698375 1963645 2749103 2959125 3154125 4142775 4415775 5105477 5890935 6904625 7359625 8247309 9818225 13745515 15316431 20713875 22078875 25527385 29454675 35738339 41236545 49091125 68727575 76582155 107215017 127636925 147273375 178691695 206182725 343637875 382910775 536075085 638184625 893458475 1030913625 1914553875 2680375425 4467292375 13401877125