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230100213108 = 2231959160910631
BaseRepresentation
bin1101011001001100001…
…0101001110101110100
3210222221002010221102010
43112103002221311310
512232221123304413
6253412342044220
722424045353233
oct3262302516564
9728832127363
10230100213108
1189648631887
1238718119670
13189103a0a6c
14b1cb974b1a
155ebac95dc3
hex35930a9d74

230100213108 has 96 divisors (see below), whose sum is σ = 575148672000. Its totient is φ = 71380535040.

The previous prime is 230100213059. The next prime is 230100213143. The reversal of 230100213108 is 801312001032.

230100213108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2301002131082 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21638953 + ... + 21649583.

It is an arithmetic number, because the mean of its divisors is an integer number (5991132000).

Almost surely, 2230100213108 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 230100213108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287574336000).

230100213108 is an abundant number, since it is smaller than the sum of its proper divisors (345048458892).

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

230100213108 is a wasteful number, since it uses less digits than its factorization.

230100213108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12323 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 230100213108 in words is "two hundred thirty billion, one hundred million, two hundred thirteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 708 1121 1609 2242 3218 3363 4484 4827 6436 6726 9654 10631 13452 19308 21262 30571 31893 42524 61142 63786 91713 94931 122284 127572 183426 189862 201989 284793 366852 379724 403978 569586 605967 627229 807956 1139172 1211934 1254458 1803689 1881687 2423868 2508916 3607378 3763374 5411067 7214756 7526748 10822134 11917351 17105279 21644268 23834702 34210558 35752053 47669404 51315837 68421116 71504106 102631674 143008212 205263348 325000301 650000602 975000903 1009211461 1300001204 1950001806 2018422922 3027634383 3900003612 4036845844 6055268766 12110537532 19175017759 38350035518 57525053277 76700071036 115050106554 230100213108