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268131132300 = 223521747511603
BaseRepresentation
bin1111100110110111011…
…1000110001110001100
3221122002112000210211210
43321231313012032030
513343113032213200
6323102220414420
725241353006533
oct3715567061614
9848075023753
10268131132300
11a3794041309
1243b706a7410
131c391513445
14cd9881531a
156e94976650
hex3e6ddc638c

268131132300 has 72 divisors (see below), whose sum is σ = 776238331456. Its totient is φ = 71460567360.

The previous prime is 268131132289. The next prime is 268131132301. The reversal of 268131132300 is 3231131862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (268131132301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268299 + ... + 779901.

Almost surely, 2268131132300 is an apocalyptic number.

268131132300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268131132300 is an abundant number, since it is smaller than the sum of its proper divisors (508107199156).

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

268131132300 is a wasteful number, since it uses less digits than its factorization.

268131132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513367 (or 513360 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 268131132300 in words is "two hundred sixty-eight billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1747 3494 5241 6988 8735 10482 17470 20964 26205 34940 43675 52410 87350 104820 131025 174700 262050 511603 524100 1023206 1534809 2046412 2558015 3069618 5116030 6139236 7674045 10232060 12790075 15348090 25580150 30696180 38370225 51160300 76740450 153480900 893770441 1787540882 2681311323 3575081764 4468852205 5362622646 8937704410 10725245292 13406556615 17875408820 22344261025 26813113230 44688522050 53626226460 67032783075 89377044100 134065566150 268131132300