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122987106 = 23311316679
BaseRepresentation
bin1110101010010…
…10001001100010
322120102101121000
413111022021202
5222441041411
620112012430
73022241664
oct725121142
9276371530
10122987106
1163472040
1235231116
131c631748
1412496534
15abe5956
hex754a262

122987106 has 64 divisors (see below), whose sum is σ = 307814400. Its totient is φ = 36061200.

The previous prime is 122987099. The next prime is 122987201. The reversal of 122987106 is 601789221.

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, 15075 + ... + 21753.

It is an arithmetic number, because the mean of its divisors is an integer number (4809600).

Almost surely, 2122987106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122987106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153907200).

122987106 is an abundant number, since it is smaller than the sum of its proper divisors (184827294).

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

122987106 is a wasteful number, since it uses less digits than its factorization.

122987106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 122987106 is about 11089.9551847607. The cubic root of 122987106 is about 497.3016048579.

The spelling of 122987106 in words is "one hundred twenty-two million, nine hundred eighty-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 6138 6679 9207 13358 18414 20037 40074 60111 73469 120222 146938 180333 207049 220407 360666 414098 440814 621147 661221 1242294 1322442 1863441 1983663 2277539 3726882 3967326 4555078 5590323 6832617 11180646 13665234 20497851 40995702 61493553 122987106