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122201112220100 = 22524370940083023
BaseRepresentation
bin11011110010010000101001…
…111000101001000111000100
3121000200022102121202012112222
4123302100221320221013010
5112004120334212020400
61111522225502431512
734511511323306354
oct3362205170510704
9530608377665488
10122201112220100
1135a34223087661
1211857489292598
13532569154c0c4
1422267cb600b64
15e1dae8554185
hex6f2429e291c4

122201112220100 has 72 divisors (see below), whose sum is σ = 271726026337920. Its totient is φ = 47676349687680.

The previous prime is 122201112220097. The next prime is 122201112220147. The reversal of 122201112220100 is 1022211102221.

It is a super-2 number, since 2×1222011122201002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16992812 + ... + 23090211.

Almost surely, 2122201112220100 is an apocalyptic number.

122201112220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201112220100 is an abundant number, since it is smaller than the sum of its proper divisors (149524914117820).

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

122201112220100 is a wasteful number, since it uses less digits than its factorization.

122201112220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40083789 (or 40083782 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122201112220100 its reverse (1022211102221), we get a palindrome (123223323322321).

The spelling of 122201112220100 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 709 860 1075 1418 2150 2836 3545 4300 7090 14180 17725 30487 35450 60974 70900 121948 152435 304870 609740 762175 1524350 3048700 40083023 80166046 160332092 200415115 400830230 801660460 1002075575 1723569989 2004151150 3447139978 4008302300 6894279956 8617849945 17235699890 28418863307 34471399780 43089249725 56837726614 86178499450 113675453228 142094316535 172356998900 284188633070 568377266140 710471582675 1222011122201 1420943165350 2444022244402 2841886330700 4888044488804 6110055611005 12220111222010 24440222444020 30550278055025 61100556110050 122201112220100