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122130233120948 = 221325168313700153
BaseRepresentation
bin11011110001001110101001…
…001010010101100010110100
3121000102112110221012220100112
4123301032221022111202310
5112001440204134332243
61111425504325402152
734503422013021413
oct3361165112254264
9530375427186315
10122130233120948
1135a07160739368
12118457a7b69358
13531baa6c48550
1422231c5d4d47a
15e1bd4ab94818
hex6f13a92958b4

122130233120948 has 48 divisors (see below), whose sum is σ = 231423878177856. Its totient is φ = 56061021984000.

The previous prime is 122130233120947. The next prime is 122130233121073. The reversal of 122130233120948 is 849021332031221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122130233120947) 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 15 ways as a sum of consecutive naturals, for example, 2064440 + ... + 15764592.

It is an arithmetic number, because the mean of its divisors is an integer number (4821330795372).

Almost surely, 2122130233120948 is an apocalyptic number.

It is an amenable number.

122130233120948 is a deficient number, since it is larger than the sum of its proper divisors (109293645056908).

122130233120948 is a wasteful number, since it uses less digits than its factorization.

122130233120948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13701104 (or 13701102 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 122130233120948 in words is "one hundred twenty-two trillion, one hundred thirty billion, two hundred thirty-three million, one hundred twenty thousand, nine hundred forty-eight".

Divisors: 1 2 4 13 26 52 251 502 683 1004 1366 2732 3263 6526 8879 13052 17758 35516 171433 342866 685732 2228629 4457258 8914516 13700153 27400306 54800612 178101989 356203978 712407956 3438738403 6877476806 9357204499 13754953612 18714408998 37428817996 44703599239 89407198478 121643658487 178814396956 243287316974 486574633948 2348658329249 4697316658498 9394633316996 30532558280237 61065116560474 122130233120948