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10131055431400 = 2352113448276789
BaseRepresentation
bin1001001101101101000111…
…1101011100111011101000
31022212112000200010222011001
42103123101331130323220
52311441400142301100
633314050445444344
72063641666211161
oct223332175347350
938775020128131
1010131055431400
113256613747402
121177571b706b4
1358647b8a7877
142704ba854768
151287ea786d6a
hex936d1f5cee8

10131055431400 has 48 divisors (see below), whose sum is σ = 23763152637900. Its totient is φ = 4016560020480.

The previous prime is 10131055431353. The next prime is 10131055431403. The reversal of 10131055431400 is 413455013101.

It can be written as a sum of positive squares in 6 ways, for example, as 4569489604 + 10126485941796 = 67598^2 + 3182214^2 .

It is not an unprimeable number, because it can be changed into a prime (10131055431403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224115795 + ... + 224160994.

Almost surely, 210131055431400 is an apocalyptic number.

10131055431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131055431400 is an abundant number, since it is smaller than the sum of its proper divisors (13632097206500).

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

10131055431400 is a wasteful number, since it uses less digits than its factorization.

10131055431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448276918 (or 448276909 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 10131055431400 in words is "ten trillion, one hundred thirty-one billion, fifty-five million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4520 5650 11300 22600 448276789 896553578 1793107156 2241383945 3586214312 4482767890 8965535780 11206919725 17931071560 22413839450 44827678900 50655277157 89655357800 101310554314 202621108628 253276385785 405242217256 506552771570 1013105543140 1266381928925 2026211086280 2532763857850 5065527715700 10131055431400