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102220200112104 = 23321928111484867
BaseRepresentation
bin10111001111011111111110…
…101101110110111111101000
3111101221011012111112002012100
4113033133332231312333220
5101344233432212041404
61001223151152213400
730350110564543404
oct2717377655667750
9441834174462170
10102220200112104
112a6303860a7388
12b56ab6223a260
13450642899a429
141b356ac47a104
15bc3eae319d39
hex5cf7feb76fe8

102220200112104 has 144 divisors (see below), whose sum is σ = 292220750502720. Its totient is φ = 32276016838080.

The previous prime is 102220200112087. The next prime is 102220200112127. The reversal of 102220200112104 is 401211002022201.

It is a super-2 number, since 2×1022202001121042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210578679 + ... + 211063545.

It is an arithmetic number, because the mean of its divisors is an integer number (2029310767380).

Almost surely, 2102220200112104 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 102220200112104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146110375251360).

102220200112104 is an abundant number, since it is smaller than the sum of its proper divisors (190000550390616).

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

102220200112104 is a wasteful number, since it uses less digits than its factorization.

102220200112104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493028 (or 493002 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102220200112104 its reverse (401211002022201), we get a palindrome (503431202134305).

The spelling of 102220200112104 in words is "one hundred two trillion, two hundred twenty billion, two hundred million, one hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 6498 8111 8664 12996 16222 24333 25992 32444 48666 64888 72999 97332 145998 154109 194664 291996 308218 462327 484867 583992 616436 924654 969734 1232872 1386981 1454601 1849308 1939468 2773962 2909202 2928071 3698616 3878936 4363803 5547924 5818404 5856142 8727606 8784213 9212473 11095848 11636808 11712284 17455212 17568426 18424946 23424568 26352639 27637419 34910424 35136852 36849892 52705278 55274838 70273704 73699784 82912257 105410556 110549676 165824514 175036987 210821112 221099352 331649028 350073974 525110961 663298056 700147948 1050221922 1400295896 1575332883 2100443844 3150665766 3932756237 4200887688 6301331532 7865512474 11798268711 12602663064 15731024948 23596537422 31462049896 35394806133 47193074844 70789612266 74722368503 94386149688 141579224532 149444737006 224167105509 283158449064 298889474012 448334211018 597778948024 672501316527 896668422036 1345002633054 1419725001557 1793336844072 2690005266108 2839450003114 4259175004671 5380010532216 5678900006228 8518350009342 11357800012456 12777525014013 17036700018684 25555050028026 34073400037368 51110100056052 102220200112104