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1312230340098 = 2321964312834651
BaseRepresentation
bin10011000110000111000…
…001011111011000000010
311122110002120220002210100
4103012013001133120002
5132444421431340343
62442455202143230
7163543201565526
oct23060701373002
94573076802710
101312230340098
114665718a9787
1219239b351b16
1396986ba9c82
1447725a05d86
15242029e49d3
hex1318705f602

1312230340098 has 96 divisors (see below), whose sum is σ = 3000441749760. Its totient is φ = 413332696800.

The previous prime is 1312230340061. The next prime is 1312230340111. The reversal of 1312230340098 is 8900430322131.

1312230340098 is a `hidden beast` number, since 1 + 3 + 1 + 223 + 0 + 340 + 0 + 98 = 666.

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 47 ways as a sum of consecutive naturals, for example, 282137073 + ... + 282141723.

It is an arithmetic number, because the mean of its divisors is an integer number (31254601560).

Almost surely, 21312230340098 is an apocalyptic number.

1312230340098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312230340098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500220874880).

1312230340098 is an abundant number, since it is smaller than the sum of its proper divisors (1688211409662).

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

1312230340098 is a wasteful number, since it uses less digits than its factorization.

1312230340098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1312230340098 in words is "one trillion, three hundred twelve billion, two hundred thirty million, three hundred forty thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 643 1283 1286 1929 2566 3849 3858 4651 5787 7698 9302 11547 11574 12217 13953 23094 24377 24434 27906 36651 41859 48754 73131 73302 83718 88369 109953 146262 176738 219393 219906 265107 438786 530214 795321 824969 1590642 1649938 2474907 2990593 4949814 5967233 5981186 7424721 8971779 11934466 14849442 15674411 17901699 17943558 26915337 31348822 35803398 47023233 53705097 53830674 56821267 94046466 107410194 113377427 113642534 141069699 170463801 226754854 282139398 340132281 340927602 511391403 680264562 1020396843 1022782806 2040793686 3836930819 7673861638 11510792457 23021584914 34532377371 69064754742 72901685561 145803371122 218705056683 437410113366 656115170049 1312230340098