Search a number
-
+
103224030918008 = 237111331415810121
BaseRepresentation
bin10111011110000110110111…
…101100011111010101111000
3111112111010021012021121110112
4113132012313230133111320
5102012210303403334013
61003312244250203452
730512455466604650
oct2736066754372570
9445433235247415
10103224030918008
112a98807a454470
12b6b1613123588
134579ca47c8110
141b6c0d9593360
15be0162034ba8
hex5de1b7b1f578

103224030918008 has 128 divisors (see below), whose sum is σ = 268247425904640. Its totient is φ = 35925994368000.

The previous prime is 103224030917981. The next prime is 103224030918011. The reversal of 103224030918008 is 800819030422301.

It is a super-3 number, since 3×1032240309180083 (a number of 43 digits) contains 333 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 (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207656813 + ... + 208153308.

It is an arithmetic number, because the mean of its divisors is an integer number (2095683014880).

Almost surely, 2103224030918008 is an apocalyptic number.

It is an amenable number.

103224030918008 is an abundant number, since it is smaller than the sum of its proper divisors (165023394986632).

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

103224030918008 is a wasteful number, since it uses less digits than its factorization.

103224030918008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415810189 (or 415810185 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 103224030918008 in words is "one hundred three trillion, two hundred twenty-four billion, thirty million, nine hundred eighteen thousand, eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 77 88 91 104 124 143 154 182 217 248 286 308 341 364 403 434 572 616 682 728 806 868 1001 1144 1364 1612 1736 2002 2387 2728 2821 3224 4004 4433 4774 5642 8008 8866 9548 11284 17732 19096 22568 31031 35464 62062 124124 248248 415810121 831620242 1663240484 2910670847 3326480968 4573911331 5405531573 5821341694 9147822662 10811063146 11642683388 12890113751 18295645324 21622126292 23285366776 25780227502 32017379317 36591290648 37838721011 43244252584 51560455004 59460847303 64034758634 75677442022 90230796257 103120910008 118921694606 128069517268 141791251261 151354884044 167571478763 180461592514 237843389212 256139034536 283582502522 302709768088 335142957526 360923185028 416225931121 475686778424 567165005044 670285915052 721846370056 832451862242 992538758827 1134330010088 1173000351341 1340571830104 1664903724484 1843286266393 1985077517654 2346000702682 3329807448968 3686572532786 3970155035308 4692001405364 7373145065572 7940310070616 9384002810728 12903003864751 14746290131144 25806007729502 51612015459004 103224030918008