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1351330831400 = 235211255840117
BaseRepresentation
bin10011101010100001100…
…110000001110000101000
311210012000120100212022212
4103222201212001300220
5134120011143101100
62512443125304252
7166426144355144
oct23524146016050
94705016325285
101351330831400
11481107030600
12199a91b65088
139a5787a8664
1449594944224
152524054a635
hex13aa1981c28

1351330831400 has 72 divisors (see below), whose sum is σ = 3453432097710. Its totient is φ = 491393020800.

The previous prime is 1351330831397. The next prime is 1351330831439. The reversal of 1351330831400 is 41380331531.

It can be written as a sum of positive squares in 3 ways, for example, as 516998388676 + 834332442724 = 719026^2 + 913418^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27895859 + ... + 27944258.

Almost surely, 21351330831400 is an apocalyptic number.

1351330831400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351330831400 is an abundant number, since it is smaller than the sum of its proper divisors (2102101266310).

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

1351330831400 is a wasteful number, since it uses less digits than its factorization.

1351330831400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55840155 (or 55840135 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 1351330831400 in words is "one trillion, three hundred fifty-one billion, three hundred thirty million, eight hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 12100 24200 55840117 111680234 223360468 279200585 446720936 558401170 614241287 1116802340 1228482574 1396002925 2233604680 2456965148 2792005850 3071206435 4913930296 5584011700 6142412870 6756654157 11168023400 12284825740 13513308314 15356032175 24569651480 27026616628 30712064350 33783270785 54053233256 61424128700 67566541570 122848257400 135133083140 168916353925 270266166280 337832707850 675665415700 1351330831400