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122100140223414 = 23337145391420323
BaseRepresentation
bin11011110000110010100111…
…011111000010101110110110
3121000022122210201010022112000
4123300302213133002232312
5112000442041344122124
61111404010254240130
734501305204431313
oct3360624737025666
9530278721108460
10122100140223414
11359a5419015011
121183b9a9ab6046
135318cbc5586c2
14222196d441d0a
15e1b188d1a6c9
hex6f0ca77c2bb6

122100140223414 has 64 divisors (see below), whose sum is σ = 278669566356480. Its totient is φ = 39599678895840.

The previous prime is 122100140223403. The next prime is 122100140223461. The reversal of 122100140223414 is 414322041001221.

122100140223414 is a `hidden beast` number, since 1 + 2 + 2 + 10 + 0 + 1 + 402 + 234 + 14 = 666.

It is a super-2 number, since 2×1221001402234142 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290281057 + ... + 290701379.

It is an arithmetic number, because the mean of its divisors is an integer number (4354211974320).

Almost surely, 2122100140223414 is an apocalyptic number.

122100140223414 is an abundant number, since it is smaller than the sum of its proper divisors (156569426133066).

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

122100140223414 is a wasteful number, since it uses less digits than its factorization.

122100140223414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565762 (or 565756 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 122100140223414 its reverse (414322041001221), we get a palindrome (536422181224635).

The spelling of 122100140223414 in words is "one hundred twenty-two trillion, one hundred billion, one hundred forty million, two hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 145391 290782 420323 436173 840646 872346 1260969 1308519 2521938 2617038 3782907 3925557 5379467 7565814 7851114 10758934 11348721 15551951 16138401 22697442 31103902 32276802 46655853 48415203 93311706 96830406 139967559 145245609 279935118 290491218 419902677 839805354 61111181293 122222362586 183333543879 366667087758 550000631637 1100001263274 1650001894911 2261113707841 3300003789822 4522227415682 6783341123523 13566682247046 20350023370569 40700046741138 61050070111707 122100140223414