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1130311435464 = 233215698769937
BaseRepresentation
bin10000011100101011110…
…011111100010011001000
311000001112100101020020200
4100130223303330103020
5122004334211413324
62223131412452200
7144443112451341
oct20345363742310
94001470336220
101130311435464
113a63a937a102
1216308b01a060
13827848431c3
143c9c90210c8
151e606ae6ec9
hex1072bcfc4c8

1130311435464 has 24 divisors (see below), whose sum is σ = 3061260137910. Its totient is φ = 376770478464.

The previous prime is 1130311435457. The next prime is 1130311435471. The reversal of 1130311435464 is 4645341130311.

1130311435464 is a `hidden beast` number, since 1 + 130 + 3 + 114 + 354 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1130311435457) and next prime (1130311435471).

It can be written as a sum of positive squares in only one way, i.e., 1130304932964 + 6502500 = 1063158^2 + 2550^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×11303114354642 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7849384897 + ... + 7849385040.

Almost surely, 21130311435464 is an apocalyptic number.

It is an amenable number.

1130311435464 is an abundant number, since it is smaller than the sum of its proper divisors (1930948702446).

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

1130311435464 is a wasteful number, since it uses less digits than its factorization.

1130311435464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15698769949 (or 15698769942 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 1130311435464 its reverse (4645341130311), we get a palindrome (5775652565775).

The spelling of 1130311435464 in words is "one trillion, one hundred thirty billion, three hundred eleven million, four hundred thirty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 15698769937 31397539874 47096309811 62795079748 94192619622 125590159496 141288929433 188385239244 282577858866 376770478488 565155717732 1130311435464