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102000331212122 = 27172967541407713
BaseRepresentation
bin10111001100010011001101…
…100000100100010101011010
3111101011010200110101200212102
4113030103031200210111122
5101332133134242241442
61000534145534443402
730325165202664320
oct2714231540442532
9441133613350772
10102000331212122
112a55610890a592
12b534420663562
1344bb7891b5a05
141b28bb167bd10
15bbd3e18c4232
hex5cc4cd82455a

102000331212122 has 128 divisors (see below), whose sum is σ = 194746125104640. Its totient is φ = 39058940067840.

The previous prime is 102000331212077. The next prime is 102000331212149. The reversal of 102000331212122 is 221212133000201.

It is a junction number, because it is equal to n+sod(n) for n = 102000331212094 and 102000331212103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249972938 + ... + 250380650.

It is an arithmetic number, because the mean of its divisors is an integer number (1521454102380).

Almost surely, 2102000331212122 is an apocalyptic number.

102000331212122 is a deficient number, since it is larger than the sum of its proper divisors (92745793892518).

102000331212122 is a wasteful number, since it uses less digits than its factorization.

102000331212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408376.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102000331212122 its reverse (221212133000201), we get a palindrome (323212464212323).

The spelling of 102000331212122 in words is "one hundred two trillion, three hundred thirty-one million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 14 17 29 34 58 67 119 134 203 238 406 469 493 541 938 986 1082 1139 1943 2278 3451 3787 3886 6902 7574 7973 9197 13601 15689 15946 18394 27202 31378 33031 36247 64379 66062 72494 109823 128758 219646 231217 253729 266713 407713 462434 507458 533426 616199 815426 1051163 1232398 1866991 2102326 2853991 3733982 4313393 5707982 6931121 7358141 8626786 11823677 13862242 14716282 17869771 23647354 27316771 35739542 48517847 54633542 82765739 97035694 125088397 165531478 191217397 201002509 220572733 250176794 382434794 402005018 441145466 464385107 792186359 928770214 1407017563 1544009131 1584372718 2814035126 3088018262 3250695749 3749736461 5545304513 6396609257 6501391498 7499472922 11090609026 12793218514 13467168103 14778373111 26248155227 26934336206 29556746222 44776264799 52496310454 89552529598 94270176721 103448611777 108742357369 188540353442 206897223554 217484714738 251232342887 428572820219 502464685774 761196501583 857145640438 1522393003166 1758626400209 3000009741533 3517252800418 6000019483066 7285737943723 14571475887446 51000165606061 102000331212122