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122113130283 = 33191674912903
BaseRepresentation
bin111000110111010000…
…0100111111100101011
3102200012021101202022000
41301232200213330223
54000041430132113
6132033100102043
711552035324044
oct1615640477453
9380167352260
10122113130283
1147873751191
121b7bb534923
13b690c21811
145ca5c4d8cb
15329a763373
hex1c6e827f2b

122113130283 has 64 divisors (see below), whose sum is σ = 192026419200. Its totient is φ = 76479772320.

The previous prime is 122113130281. The next prime is 122113130291. The reversal of 122113130283 is 382031311221.

122113130283 is a `hidden beast` number, since 1 + 221 + 131 + 30 + 283 = 666.

It is not a de Polignac number, because 122113130283 - 21 = 122113130281 is a prime.

It is a super-3 number, since 3×1221131302833 (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122113130281) 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, 42063010 + ... + 42065912.

It is an arithmetic number, because the mean of its divisors is an integer number (3000412800).

Almost surely, 2122113130283 is an apocalyptic number.

122113130283 is a deficient number, since it is larger than the sum of its proper divisors (69913288917).

122113130283 is a wasteful number, since it uses less digits than its factorization.

122113130283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 122113130283 in words is "one hundred twenty-two billion, one hundred thirteen million, one hundred thirty thousand, two hundred eighty-three".

Divisors: 1 3 9 19 27 57 167 171 491 501 513 1473 1503 2903 3173 4419 4509 8709 9329 9519 13257 26127 27987 28557 55157 78381 81997 83961 85671 165471 245991 251883 484801 496413 737973 1425373 1454403 1489239 1557943 2213919 4276119 4363209 4673829 9211219 12828357 13089627 14021487 27082087 27633657 38485071 42064461 81246261 82900971 238037291 243738783 248702913 714111873 731216349 2142335619 4522708529 6427006857 13568125587 40704376761 122113130283