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102721446212 = 2271121071791583
BaseRepresentation
bin101111110101010101…
…1001110000101000100
3100211010211112010121212
41133222223032011010
53140333142234322
6115104541030552
710264350613010
oct1375253160504
9324124463555
10102721446212
113a62263aa00
1217aa9255458
1398c0594948
144d86677540
152a131090e2
hex17eaace144

102721446212 has 144 divisors (see below), whose sum is σ = 229345966080. Its totient is φ = 39400912320.

The previous prime is 102721446173. The next prime is 102721446259. The reversal of 102721446212 is 212644127201.

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 47 ways as a sum of consecutive naturals, for example, 64889573 + ... + 64891155.

It is an arithmetic number, because the mean of its divisors is an integer number (1592680320).

Almost surely, 2102721446212 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 102721446212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114672983040).

102721446212 is an abundant number, since it is smaller than the sum of its proper divisors (126624519868).

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

102721446212 is a wasteful number, since it uses less digits than its factorization.

102721446212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 102721446212 in words is "one hundred two billion, seven hundred twenty-one million, four hundred forty-six thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 121 154 179 214 242 308 358 428 484 716 749 847 1177 1253 1498 1583 1694 1969 2354 2506 2996 3166 3388 3938 4708 5012 6332 7876 8239 11081 12947 13783 16478 17413 19153 21659 22162 25894 27566 32956 34826 38306 43318 44324 51788 55132 69652 76612 86636 90629 121891 134071 151613 169381 181258 191543 210683 243782 268142 283357 303226 338762 362516 383086 421366 487564 536284 566714 606452 677524 766172 842732 1133428 1185667 1340801 1474781 1863191 1983499 2317513 2371334 2681602 2949562 3116927 3726382 3966998 4635026 4742668 5363204 5899124 6233854 7452764 7933996 9270052 12467708 13042337 16222591 20495101 21818489 26084674 30319199 32445182 34286197 40990202 43636978 52169348 60638398 64890364 68572394 81980404 87273956 121276796 137144788 143465707 212234393 240003379 286931414 333511189 424468786 480006758 573862828 667022378 848937572 960013516 1334044756 2334578323 3668623079 4669156646 7337246158 9338313292 14674492316 25680361553 51360723106 102721446212