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102222455257552 = 247107166320172543
BaseRepresentation
bin10111001111100010000101…
…001000100011100111010000
3111101221101000122222100011211
4113033202011020203213100
5101344303042021220202
61001224203031545504
730350220510140440
oct2717420510434720
9441841018870154
10102222455257552
112a631333071553
12b56b49152b294
1345066c7c69216
141b35843b90120
15bc40922cb1d7
hex5cf8852239d0

102222455257552 has 160 divisors (see below), whose sum is σ = 228805798920192. Its totient is φ = 43335538348032.

The previous prime is 102222455257537. The next prime is 102222455257631. The reversal of 102222455257552 is 255752554222201.

It is a junction number, because it is equal to n+sod(n) for n = 102222455257496 and 102222455257505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40197582393 + ... + 40197584935.

Almost surely, 2102222455257552 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 102222455257552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114402899460096).

102222455257552 is an abundant number, since it is smaller than the sum of its proper divisors (126583343662640).

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

102222455257552 is a wasteful number, since it uses less digits than its factorization.

102222455257552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 5600000, while the sum is 49.

The spelling of 102222455257552 in words is "one hundred two trillion, two hundred twenty-two billion, four hundred fifty-five million, two hundred fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1498 1663 1712 2017 2543 2996 3326 4034 5086 5992 6652 8068 10172 11641 11984 13304 14119 16136 17801 20344 23282 26608 28238 32272 35602 40688 46564 56476 71204 93128 112952 142408 177941 186256 215819 225904 272101 284816 355882 431638 544202 711764 863276 1088404 1245587 1423528 1510733 1726552 1904707 2176808 2491174 2847056 3021466 3354271 3453104 3809414 4229009 4353616 4982348 5129231 6042932 6708542 7618828 8458018 9964696 10258462 12085864 13417084 15237656 16916036 19929392 20516924 23479897 24171728 26834168 29603063 30475312 33832072 35904617 41033848 46959794 53668336 59206126 67664144 71809234 82067696 93919588 118412252 143618468 187839176 236824504 287236936 358906997 375678352 452503963 473649008 548827717 574473872 717813994 905007926 1097655434 1435627988 1810015852 2195310868 2512348979 2871255976 3167527741 3620031704 3841794019 4390621736 5024697958 5742511952 6335055482 7240063408 7683588038 8529911153 8781243472 10049395916 12670110964 15367176076 17059822306 20098791832 25340221928 30734352152 34119644612 40197583664 50680443856 59709378071 61468704304 68239289224 119418756142 136478578448 238837512284 477675024568 912700493371 955350049136 1825400986742 3650801973484 6388903453597 7301603946968 12777806907194 14603207893936 25555613814388 51111227628776 102222455257552