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131201130310400 = 285299793205427
BaseRepresentation
bin11101110101001110100100…
…110001000010101100000000
3122012112201001100121010010102
4131311032210301002230000
5114144044403324413100
61143012544525021532
736430653213661223
oct3565164461025400
9565481040533112
10131201130310400
11388940a5721247
121286b7a90b48a8
1358292a10a3bc7
1424582508755ba
151027c98605cd5
hex7753a4c42b00

131201130310400 has 108 divisors (see below), whose sum is σ = 324748132700712. Its totient is φ = 52479670763520.

The previous prime is 131201130310351. The next prime is 131201130310463. The reversal of 131201130310400 is 4013031102131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 638572487 + ... + 638777913.

Almost surely, 2131201130310400 is an apocalyptic number.

131201130310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201130310400 is an abundant number, since it is smaller than the sum of its proper divisors (193547002390312).

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

131201130310400 is an equidigital number, since it uses as much as digits as its factorization.

131201130310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305246 (or 305227 counting only the distinct ones).

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

Adding to 131201130310400 its reverse (4013031102131), we get a palindrome (135214161412531).

The spelling of 131201130310400 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred thirty million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 99793 199586 205427 399172 410854 498965 798344 821708 997930 1027135 1596688 1643416 1995860 2054270 2494825 3193376 3286832 3991720 4108540 4989650 5135675 6386752 6573664 7983440 8217080 9979300 10271350 12773504 13147328 15966880 16434160 19958600 20542700 25547008 26294656 31933760 32868320 39917200 41085400 52589312 63867520 65736640 79834400 82170800 127735040 131473280 159668800 164341600 262946560 319337600 328683200 638675200 657366400 1314732800 20500176611 41000353222 82000706444 102500883055 164001412888 205001766110 328002825776 410003532220 512504415275 656005651552 820007064440 1025008830550 1312011303104 1640014128880 2050017661100 2624022606208 3280028257760 4100035322200 5248045212416 6560056515520 8200070644400 13120113031040 16400141288800 26240226062080 32800282577600 65600565155200 131201130310400