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10311404202 = 23211312716199
BaseRepresentation
bin10011001101001101…
…11000101010101010
3222121121201121101100
421212212320222222
5132104204413302
64423105102230
7513345326631
oct114646705252
928547647340
1010311404202
114411578660
121bb9327976
13c8437c008
146db664518
154053c0d1c
hex2669b8aaa

10311404202 has 96 divisors (see below), whose sum is σ = 25255526400. Its totient is φ = 3012228000.

The previous prime is 10311404197. The next prime is 10311404261. The reversal of 10311404202 is 20240411301.

10311404202 is a `hidden beast` number, since 103 + 1 + 140 + 420 + 2 = 666.

10311404202 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1660299 + ... + 1666497.

It is an arithmetic number, because the mean of its divisors is an integer number (263078400).

Almost surely, 210311404202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311404202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12627763200).

10311404202 is an abundant number, since it is smaller than the sum of its proper divisors (14944122198).

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

10311404202 is a wasteful number, since it uses less digits than its factorization.

10311404202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10311404202 its reverse (20240411301), we get a palindrome (30551815503).

The spelling of 10311404202 in words is "ten billion, three hundred eleven million, four hundred four thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 271 279 341 542 558 682 813 1023 1626 2046 2439 2981 3069 4878 5962 6138 6199 8401 8943 12398 16802 17886 18597 25203 26829 37194 50406 53658 55791 68189 75609 92411 111582 136378 151218 184822 192169 204567 277233 384338 409134 554466 576507 613701 831699 1153014 1227402 1663398 1679929 1729521 2113859 3359858 3459042 4227718 5039787 6341577 10079574 12683154 15119361 18479219 19024731 30238722 36958438 38049462 52077799 55437657 104155598 110875314 156233397 166312971 312466794 332625942 468700191 572855789 937400382 1145711578 1718567367 3437134734 5155702101 10311404202