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102212131012230 = 23543797198750033
BaseRepresentation
bin10111001111011000011101…
…110000101011111010000110
3111101220101101011002100002110
4113033120131300223322012
5101344120421014342410
61001215334343321450
730346403614406031
oct2717303560537206
9441811334070073
10102212131012230
112a627a153231a8
12b56948ba50286
134505741042415
141b35144946018
15bc3b8ac20720
hex5cf61dc2be86

102212131012230 has 128 divisors (see below), whose sum is σ = 251460438501888. Its totient is φ = 26575378163712.

The previous prime is 102212131012223. The next prime is 102212131012237. The reversal of 102212131012230 is 32210131212201.

It is an interprime number because it is at equal distance from previous prime (102212131012223) and next prime (102212131012237).

It is a super-2 number, since 2×1022121310122302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212131012197 and 102212131012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212131012237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2042869294 + ... + 2042919326.

It is an arithmetic number, because the mean of its divisors is an integer number (1964534675796).

Almost surely, 2102212131012230 is an apocalyptic number.

102212131012230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212131012230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125730219250944).

102212131012230 is an abundant number, since it is smaller than the sum of its proper divisors (149248307489658).

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

102212131012230 is a wasteful number, since it uses less digits than its factorization.

102212131012230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52870.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102212131012230 its reverse (32210131212201), we get a palindrome (134422262224431).

The spelling of 102212131012230 in words is "one hundred two trillion, two hundred twelve billion, one hundred thirty-one million, twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 797 1290 1594 1987 2391 3974 3985 4782 5961 7970 9935 11922 11955 19870 23910 29805 34271 50033 59610 68542 85441 100066 102813 150099 170882 171355 205626 250165 256323 300198 342710 427205 500330 512646 514065 750495 854410 1028130 1281615 1500990 1583639 2151419 2563230 3167278 4302838 4750917 6454257 7918195 9501834 10757095 12908514 15836390 21514190 23754585 32271285 39876301 47509170 64542570 68096477 79752602 99415571 119628903 136192954 198831142 199381505 204289431 239257806 298246713 340482385 398763010 408578862 497077855 596493426 598144515 680964770 994155710 1021447155 1196289030 1491233565 1714680943 2042894310 2982467130 3429361886 4274869553 5144042829 8549739106 8573404715 10288085658 12824608659 17146809430 21374347765 25649217318 25720214145 42748695530 51440428290 64123043295 79234210087 128246086590 158468420174 237702630261 396171050435 475405260522 792342100870 1188513151305 2377026302610 3407071033741 6814142067482 10221213101223 17035355168705 20442426202446 34070710337410 51106065506115 102212131012230