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310002103212 = 2231761109722709
BaseRepresentation
bin1001000001011011001…
…00001011001110101100
31002122011120122111221020
410200231210023032230
520034341014300322
6354225112534140
731253066254164
oct4405544131654
91078146574836
10310002103212
1110a5201184aa
12500b70b1350
13233050a4489
141100b6915a4
1580e583505c
hex482d90b3ac

310002103212 has 96 divisors (see below), whose sum is σ = 779187003840. Its totient is φ = 95569797120.

The previous prime is 310002103183. The next prime is 310002103253. The reversal of 310002103212 is 212301200013.

It is a super-2 number, since 2×3100021032122 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310002103191 and 310002103200.

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, 13639714 + ... + 13662422.

It is an arithmetic number, because the mean of its divisors is an integer number (8116531290).

Almost surely, 2310002103212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310002103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389593501920).

310002103212 is an abundant number, since it is smaller than the sum of its proper divisors (469184900628).

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

310002103212 is a wasteful number, since it uses less digits than its factorization.

310002103212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23891 (or 23889 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 310002103212 its reverse (212301200013), we get a palindrome (522303303225).

The spelling of 310002103212 in words is "three hundred ten billion, two million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 1037 1097 2074 2194 3111 3291 4148 4388 6222 6582 12444 13164 18649 22709 37298 45418 55947 66917 68127 74596 90836 111894 133834 136254 200751 223788 267668 272508 386053 401502 772106 803004 1137589 1158159 1385249 1544212 2275178 2316318 2770498 3412767 4155747 4550356 4632636 5540996 6825534 8311494 13651068 16622988 23549233 24911773 47098466 49823546 70647699 74735319 94196932 99647092 141295398 149470638 282590796 298941276 423500141 847000282 1270500423 1519618153 1694000564 2541000846 3039236306 4558854459 5082001692 6078472612 9117708918 18235417836 25833508601 51667017202 77500525803 103334034404 155001051606 310002103212