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35214431130 = 2335301943201
BaseRepresentation
bin100000110010111100…
…011001001110011010
310100220011011110011000
4200302330121032122
51034104343244010
624102143245430
72354434503654
oct406274311632
9110804143130
1035214431130
1113a306a034a
1269a92a9876
1334227916c8
1419c0ba76d4
15db17da7c0
hex832f1939a

35214431130 has 64 divisors (see below), whose sum is σ = 93938428800. Its totient is φ = 9387187200.

The previous prime is 35214431111. The next prime is 35214431167. The reversal of 35214431130 is 3113441253.

It is a happy number.

35214431130 is a `hidden beast` number, since 3 + 5 + 214 + 431 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 35214431094 and 35214431103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793530 + ... + 836730.

It is an arithmetic number, because the mean of its divisors is an integer number (1467787950).

Almost surely, 235214431130 is an apocalyptic number.

35214431130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35214431130 is an abundant number, since it is smaller than the sum of its proper divisors (58723997670).

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

35214431130 is a wasteful number, since it uses less digits than its factorization.

35214431130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46236 (or 46230 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 35214431130 its reverse (3113441253), we get a palindrome (38327872383).

The spelling of 35214431130 in words is "thirty-five billion, two hundred fourteen million, four hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3019 6038 9057 15095 18114 27171 30190 43201 45285 54342 81513 86402 90570 129603 135855 163026 216005 259206 271710 388809 407565 432010 648015 777618 815130 1166427 1296030 1944045 2332854 3888090 5832135 11664270 130423819 260847638 391271457 652119095 782542914 1173814371 1304238190 1956357285 2347628742 3521443113 3912714570 5869071855 7042886226 11738143710 17607215565 35214431130