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122112031990 = 25136164124023
BaseRepresentation
bin111000110111001110…
…0011011110011110110
3102200012012022221201111
41301232130123303312
54000041140010430
6132033020345234
711552023101034
oct1615634336366
9380165287644
10122112031990
1147873071003
121b7bb0a521a
13b690928940
145ca5a45554
15329a5e7c2a
hex1c6e71bcf6

122112031990 has 64 divisors (see below), whose sum is σ = 240975326592. Its totient is φ = 44277350400.

The previous prime is 122112031973. The next prime is 122112031991. The reversal of 122112031990 is 99130211221.

It is a super-2 number, since 2×1221120319902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112031991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5071119 + ... + 5095141.

It is an arithmetic number, because the mean of its divisors is an integer number (3765239478).

Almost surely, 2122112031990 is an apocalyptic number.

122112031990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122112031990 is a deficient number, since it is larger than the sum of its proper divisors (118863294602).

122112031990 is a wasteful number, since it uses less digits than its factorization.

122112031990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24745.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 122112031990 in words is "one hundred twenty-two billion, one hundred twelve million, thirty-one thousand, nine hundred ninety".

Divisors: 1 2 5 10 13 26 61 65 122 130 305 610 641 793 1282 1586 3205 3965 6410 7930 8333 16666 24023 39101 41665 48046 78202 83330 120115 195505 240230 312299 391010 508313 624598 1016626 1465403 1561495 2541565 2930806 3122990 5083130 7327015 14654030 15398743 19050239 30797486 38100478 76993715 95251195 153987430 190502390 200183659 400367318 939323323 1000918295 1878646646 2001836590 4696616615 9393233230 12211203199 24422406398 61056015995 122112031990