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102232220200220 = 225112234817381301
BaseRepresentation
bin10111001111101011001011…
…001010110110110100011100
3111101222022020012102211021002
4113033223023022312310130
5101344433041332401340
61001232500020325432
730351014501604155
oct2717531312666434
9441868205384232
10102232220200220
112a635494129500
12b571357843878
1345075c30464c6
141b360cca0692c
15bc4464707715
hex5cfacb2b6d1c

102232220200220 has 144 divisors (see below), whose sum is σ = 246290722058304. Its totient is φ = 35551557888000.

The previous prime is 102232220200217. The next prime is 102232220200259. The reversal of 102232220200220 is 22002022232201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102232220200192 and 102232220200201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267923570 + ... + 268304870.

It is an arithmetic number, because the mean of its divisors is an integer number (1710352236516).

Almost surely, 2102232220200220 is an apocalyptic number.

102232220200220 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 102232220200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123145361029152).

102232220200220 is an abundant number, since it is smaller than the sum of its proper divisors (144058501858084).

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

102232220200220 is a wasteful number, since it uses less digits than its factorization.

102232220200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386172 (or 386159 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 102232220200220 its reverse (22002022232201), we get a palindrome (124234242432421).

The spelling of 102232220200220 in words is "one hundred two trillion, two hundred thirty-two billion, two hundred twenty million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 2420 2530 2783 4817 5060 5566 9634 11132 13915 19268 24085 27830 48170 52987 55660 96340 105974 110791 211948 221582 264935 381301 443164 529870 553955 582857 762602 1059740 1107910 1165714 1218701 1525204 1906505 2215820 2331428 2437402 2914285 3813010 4194311 4874804 5828570 6093505 7626020 8388622 8769923 11657140 12187010 13405711 16777244 17539846 20971555 24374020 26811422 35079692 41943110 43849615 46137421 53622844 67028555 83886220 87699230 92274842 96469153 134057110 175398460 184549684 192938306 230687105 268114220 385876612 461374210 482345765 922748420 964691530 1061160683 1836726917 1929383060 2122321366 3673453834 4244642732 5305803415 7346907668 9183634585 10611606830 18367269170 20203996087 21223213660 36734538340 40407992174 42244719091 80815984348 84489438182 101019980435 168978876364 202039960870 211223595455 222243956957 404079921740 422447190910 444487913914 464691910001 844894381820 888975827828 929383820002 1111219784785 1858767640004 2222439569570 2323459550005 4444879139140 4646919100010 5111611010011 9293838200020 10223222020022 20446444040044 25558055050055 51116110100110 102232220200220