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10321431113034 = 23215111237330671
BaseRepresentation
bin1001011000110010010100…
…1111000010110101001010
31100112201102021120121211200
42112030211033002311022
52323101242331104114
633541333333205030
72113461453622026
oct226144517026512
940481367517750
1010321431113034
11331a326869788
1211a8442490776
1359b3cacb4cb2
142797ba647386
1512d73dd0b409
hex963253c2d4a

10321431113034 has 48 divisors (see below), whose sum is σ = 22380439221504. Its totient is φ = 3437810114400.

The previous prime is 10321431113023. The next prime is 10321431113051. The reversal of 10321431113034 is 43031113412301.

10321431113034 is a `hidden beast` number, since 1 + 0 + 3 + 214 + 311 + 130 + 3 + 4 = 666.

It is a super-4 number, since 4×103214311130344 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10321431112989 and 10321431113007.

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, 336505519 + ... + 336536189.

It is an arithmetic number, because the mean of its divisors is an integer number (466259150448).

Almost surely, 210321431113034 is an apocalyptic number.

10321431113034 is an abundant number, since it is smaller than the sum of its proper divisors (12059008108470).

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

10321431113034 is a wasteful number, since it uses less digits than its factorization.

10321431113034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44563 (or 44560 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10321431113034 its reverse (43031113412301), we get a palindrome (53352544525335).

The spelling of 10321431113034 in words is "ten trillion, three hundred twenty-one billion, four hundred thirty-one million, one hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 9 18 1511 3022 4533 9066 12373 13599 24746 27198 30671 37119 61342 74238 92013 111357 184026 222714 276039 552078 18695603 37391206 46343881 56086809 92687762 112173618 139031643 168260427 278063286 336520854 379492283 417094929 758984566 834189858 1138476849 2276953698 3415430547 6830861094 573412839613 1146825679226 1720238518839 3440477037678 5160715556517 10321431113034