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102222310103000 = 23532811424325541
BaseRepresentation
bin10111001111100001111100…
…011110110101011111011000
3111101221100122112211201120022
4113033201330132311133120
5101344302242341244000
61001224140404450012
730350214065301353
oct2717417436653730
9441840575751508
10102222310103000
112a63126913980a
12b56b4509a9908
1345066a3b75959
141b3582c7a729a
15bc40846a7585
hex5cf87c7b57d8

102222310103000 has 128 divisors (see below), whose sum is σ = 240077705250240. Its totient is φ = 40738956160000.

The previous prime is 102222310102967. The next prime is 102222310103033. The reversal of 102222310103000 is 301013222201.

It is an interprime number because it is at equal distance from previous prime (102222310102967) and next prime (102222310103033).

It is a self number, because there is not a number n which added to its sum of digits gives 102222310103000.

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, 4002270230 + ... + 4002295770.

Almost surely, 2102222310103000 is an apocalyptic number.

102222310103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222310103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120038852625120).

102222310103000 is an abundant number, since it is smaller than the sum of its proper divisors (137855395147240).

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

102222310103000 is a wasteful number, since it uses less digits than its factorization.

102222310103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40086 (or 40072 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102222310103000 its reverse (301013222201), we get a palindrome (102523323325201).

The spelling of 102222310103000 in words is "one hundred two trillion, two hundred twenty-two billion, three hundred ten million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 281 500 562 1000 1124 1405 2248 2810 5620 7025 11240 14050 14243 25541 28100 28486 35125 51082 56200 56972 70250 71215 102164 113944 127705 140500 142430 204328 255410 281000 284860 356075 510820 569720 638525 712150 1021640 1277050 1424300 1780375 2554100 2848600 3192625 3560750 4002283 5108200 6385250 7121500 7177021 8004566 12770500 14243000 14354042 16009132 20011415 25541000 28708084 32018264 35885105 40022830 57416168 71770210 80045660 100057075 143540420 160091320 179425525 200114150 287080840 358851050 363780463 400228300 500285375 717702100 727560926 800456600 897127625 1000570750 1435404200 1455121852 1794255250 1818902315 2001141500 2910243704 3588510500 3637804630 4002283000 7177021000 7275609260 9094511575 14551218520 18189023150 36378046300 45472557875 72756092600 90945115750 102222310103 181890231500 204444620206 363780463000 408889240412 511111550515 817778480824 1022223101030 2044446202060 2555557752575 4088892404120 5111115505150 10222231010300 12777788762875 20444462020600 25555577525750 51111155051500 102222310103000