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11312414120 = 2357101339883
BaseRepresentation
bin10101000100100010…
…11011110110101000
31002012101022011211202
422202101123312220
5141131434222440
65110304143332
7550221635120
oct124221336650
932171264752
1011312414120
114885621187
122238607b48
1310b3880a87
14794595c80
15463201615
hex2a245bda8

11312414120 has 64 divisors (see below), whose sum is σ = 29118510720. Its totient is φ = 3874616064.

The previous prime is 11312414111. The next prime is 11312414143. The reversal of 11312414120 is 2141421311.

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

It is a junction number, because it is equal to n+sod(n) for n = 11312414092 and 11312414101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263699 + ... + 303581.

It is an arithmetic number, because the mean of its divisors is an integer number (454976730).

Almost surely, 211312414120 is an apocalyptic number.

11312414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312414120 is an abundant number, since it is smaller than the sum of its proper divisors (17806096600).

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

11312414120 is a wasteful number, since it uses less digits than its factorization.

11312414120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40914 (or 40910 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11312414120 its reverse (2141421311), we get a palindrome (13453835431).

The spelling of 11312414120 in words is "eleven billion, three hundred twelve million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1013 2026 4052 5065 7091 8104 10130 14182 20260 28364 35455 39883 40520 56728 70910 79766 141820 159532 199415 279181 283640 319064 398830 558362 797660 1116724 1395905 1595320 2233448 2791810 5583620 11167240 40401479 80802958 161605916 202007395 282810353 323211832 404014790 565620706 808029580 1131241412 1414051765 1616059160 2262482824 2828103530 5656207060 11312414120