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10311122200332 = 22323315741209917
BaseRepresentation
bin1001011000001011111011…
…0001101010011100001100
31100111201210211112121011010
42112002332301222130030
52322414134240402312
633532510353325220
72112645135406662
oct226027661523414
940451724477133
1010311122200332
113315a16743018
1211a6445b66810
1359a4472c9055
142790bd470c32
1512d338c7d93c
hex960bec6a70c

10311122200332 has 96 divisors (see below), whose sum is σ = 25919828250624. Its totient is φ = 3180983097600.

The previous prime is 10311122200273. The next prime is 10311122200361. The reversal of 10311122200332 is 23300222111301.

It is a junction number, because it is equal to n+sod(n) for n = 10311122200299 and 10311122200308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49015038 + ... + 49224954.

It is an arithmetic number, because the mean of its divisors is an integer number (269998210944).

Almost surely, 210311122200332 is an apocalyptic number.

10311122200332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311122200332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959914125312).

10311122200332 is an abundant number, since it is smaller than the sum of its proper divisors (15608706050292).

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

10311122200332 is a wasteful number, since it uses less digits than its factorization.

10311122200332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215719 (or 215717 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10311122200332 its reverse (23300222111301), we get a palindrome (33611344311633).

The spelling of 10311122200332 in words is "ten trillion, three hundred eleven billion, one hundred twenty-two million, two hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2852 4278 5741 8556 11482 17223 22964 34446 68892 132043 177971 209917 264086 355942 396129 419834 528172 533913 629751 711884 792258 839668 1067826 1259502 1584516 2135652 2519004 4093333 4828091 6507427 8186666 9656182 12279999 13014854 14484273 16373332 19312364 19522281 24559998 26029708 28968546 39044562 49119996 57937092 78089124 149670821 299341642 449012463 598683284 898024926 1205133497 1796049852 2410266994 3615400491 4820533988 7230800982 14461601964 27718070431 37359138407 55436140862 74718276814 83154211293 110872281724 112077415221 149436553628 166308422586 224154830442 332616845172 448309660884 859260183361 1718520366722 2577780550083 3437040733444 5155561100166 10311122200332