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131401000031200 = 2552578392839801
BaseRepresentation
bin11101111000001000101101…
…111011100001001111100000
3122020020210221121201221011021
4131320020231323201033200
5114210333222001444300
61143244441442455224
736451260163402414
oct3570105573411740
9566223847657137
10131401000031200
113896093a99a789
12128a2489064514
1358420a440a4a3
142463bb1522d44
15102d0953e3d1a
hex77822dee13e0

131401000031200 has 72 divisors (see below), whose sum is σ = 320788350419040. Its totient is φ = 52559472768000.

The previous prime is 131401000031183. The next prime is 131401000031227. The reversal of 131401000031200 is 2130000104131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 44851300 + ... + 47691100.

It is an arithmetic number, because the mean of its divisors is an integer number (4455393755820).

Almost surely, 2131401000031200 is an apocalyptic number.

131401000031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131401000031200 is an abundant number, since it is smaller than the sum of its proper divisors (189387350387840).

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

131401000031200 is a wasteful number, since it uses less digits than its factorization.

131401000031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897660 (or 2897647 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131401000031200 its reverse (2130000104131), we get a palindrome (133531000135331).

The spelling of 131401000031200 in words is "one hundred thirty-one trillion, four hundred one billion, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 57839 115678 231356 289195 462712 578390 925424 1156780 1445975 1850848 2313560 2839801 2891950 4627120 5679602 5783900 9254240 11359204 11567800 14199005 22718408 23135600 28398010 45436816 46271200 56796020 70995025 90873632 113592040 141990050 227184080 283980100 454368160 567960200 1135920400 2271840800 164251250039 328502500078 657005000156 821256250195 1314010000312 1642512500390 2628020000624 3285025000780 4106281250975 5256040001248 6570050001560 8212562501950 13140100003120 16425125003900 26280200006240 32850250007800 65700500015600 131401000031200