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1231352451540 = 2232514657466729
BaseRepresentation
bin10001111010110010010…
…100110101000111010100
311100201100001212200002100
4101322302110311013110
5130133302211422130
62341401524242100
7154651030100211
oct21726224650724
94321301780070
101231352451540
114352393a2a72
1217a789540330
138c167c20c93
1443852428b08
152206c415c60
hex11eb25351d4

1231352451540 has 72 divisors (see below), whose sum is σ = 3735365273640. Its totient is φ = 328337547264.

The previous prime is 1231352451529. The next prime is 1231352451551. The reversal of 1231352451540 is 451542531321.

1231352451540 is a `hidden beast` number, since 1 + 2 + 3 + 13 + 52 + 4 + 51 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (1231352451529) and next prime (1231352451551).

It can be written as a sum of positive squares in 4 ways, for example, as 506562439824 + 724790011716 = 711732^2 + 851346^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1231352451495 and 1231352451504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2404896 + ... + 2871624.

It is an arithmetic number, because the mean of its divisors is an integer number (51880073245).

Almost surely, 21231352451540 is an apocalyptic number.

1231352451540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1231352451540 is an abundant number, since it is smaller than the sum of its proper divisors (2504012822100).

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

1231352451540 is a wasteful number, since it uses less digits than its factorization.

1231352451540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481401 (or 481396 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 1231352451540 its reverse (451542531321), we get a palindrome (1682894982861).

The spelling of 1231352451540 in words is "one trillion, two hundred thirty-one billion, three hundred fifty-two million, four hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 14657 29314 43971 58628 73285 87942 131913 146570 175884 219855 263826 293140 439710 466729 527652 659565 879420 933458 1319130 1400187 1866916 2333645 2638260 2800374 4200561 4667290 5600748 7000935 8401122 9334580 14001870 16802244 21002805 28003740 42005610 84011220 6840846953 13681693906 20522540859 27363387812 34204234765 41045081718 61567622577 68408469530 82090163436 102612704295 123135245154 136816939060 205225408590 246270490308 307838112885 410450817180 615676225770 1231352451540