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122630114241 = 3319298242933
BaseRepresentation
bin111001000110101010…
…0110000101111000001
3102201112022012020222000
41302031110300233001
54002121302123431
6132200244534213
711600613525645
oct1621524605701
9381468166860
10122630114241
1148009558958
121b9246b1369
13b74407229b
145d14786c25
1532cad339e6
hex1c8d530bc1

122630114241 has 32 divisors (see below), whose sum is σ = 197830416000. Its totient is φ = 74779879104.

The previous prime is 122630114221. The next prime is 122630114263. The reversal of 122630114241 is 142411036221.

122630114241 is a `hidden beast` number, since 1 + 2 + 2 + 630 + 1 + 1 + 4 + 24 + 1 = 666.

It is not a de Polignac number, because 122630114241 - 214 = 122630097857 is a prime.

It is a super-2 number, since 2×1226301142412 (a number of 23 digits) contains 22 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 (122630114221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4106590 + ... + 4136343.

It is an arithmetic number, because the mean of its divisors is an integer number (6182200500).

Almost surely, 2122630114241 is an apocalyptic number.

It is an amenable number.

122630114241 is a deficient number, since it is larger than the sum of its proper divisors (75200301759).

122630114241 is a wasteful number, since it uses less digits than its factorization.

122630114241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242990 (or 8242984 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 122630114241 in words is "one hundred twenty-two billion, six hundred thirty million, one hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 9 19 27 29 57 87 171 261 513 551 783 1653 4959 14877 8242933 24728799 74186397 156615727 222559191 239045057 469847181 717135171 1409541543 2151405513 4228624629 4541856083 6454216539 13625568249 40876704747 122630114241