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102020200022202 = 237114324412103817
BaseRepresentation
bin10111001100100101101101…
…110010000100000010111010
3111101020000222011001211101020
4113030211231302010002322
5101332444332201202302
61000551233300203310
730326500443043320
oct2714455562040272
9441200864054336
10102020200022202
112a563584284690
12b538246699536
1344c0604649377
141b29b38373d10
15bbdba5d78ebc
hex5cc96dc840ba

102020200022202 has 128 divisors (see below), whose sum is σ = 260410794006528. Its totient is φ = 25871887641600.

The previous prime is 102020200022177. The next prime is 102020200022203. The reversal of 102020200022202 is 202220002020201.

It is a super-2 number, since 2×1020202000222022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102020200022203) 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, 47440998 + ... + 49544814.

It is an arithmetic number, because the mean of its divisors is an integer number (2034459328176).

Almost surely, 2102020200022202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020200022202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130205397003264).

102020200022202 is an abundant number, since it is smaller than the sum of its proper divisors (158390593984326).

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

102020200022202 is a wasteful number, since it uses less digits than its factorization.

102020200022202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106324.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 102020200022202 its reverse (202220002020201), we get a palindrome (304240202042403).

The spelling of 102020200022202 in words is "one hundred two trillion, twenty billion, two hundred million, twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 129 154 231 258 301 462 473 602 903 946 1419 1806 2441 2838 3311 4882 6622 7323 9933 14646 17087 19866 26851 34174 51261 53702 80553 102522 104963 161106 187957 209926 314889 375914 563871 629778 734741 1127742 1154593 1469482 2103817 2204223 2309186 3463779 4207634 4408446 6311451 6927558 8082151 12622902 14726719 16164302 23141987 24246453 29453438 44180157 46283974 48492906 69425961 88360314 90464131 138851922 161993909 180928262 271392393 323987818 485981727 542784786 633248917 971963454 995105441 1266497834 1899746751 1990210882 2985316323 3799493502 5135417297 5970632646 6965738087 10270834594 13931476174 15406251891 20897214261 30812503782 35947921079 41794428522 56489590267 71895842158 107843763237 112979180534 169468770801 215687526474 220822943771 338937541602 395427131869 441645887542 662468831313 790854263738 1186281395607 1324937662626 1545760606397 2372562791214 2429052381481 3091521212794 4637281819191 4858104762962 7287157144443 9274563638382 14574314288886 17003366670367 34006733340734 51010100011101 102020200022202