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122985918 = 233111971051
BaseRepresentation
bin1110101010010…
…01110110111110
322120102022222000
413111021312332
5222441022133
620112003130
73022235346
oct725116676
9276368860
10122985918
1163471160
12352304a6
131c631043
1412495d26
15abe5413
hex7549dbe

122985918 has 64 divisors (see below), whose sum is σ = 299946240. Its totient is φ = 37044000.

The previous prime is 122985893. The next prime is 122985931. The reversal of 122985918 is 819589221.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 116493 + ... + 117543.

It is an arithmetic number, because the mean of its divisors is an integer number (4686660).

Almost surely, 2122985918 is an apocalyptic number.

122985918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122985918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149973120).

122985918 is an abundant number, since it is smaller than the sum of its proper divisors (176960322).

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

122985918 is a wasteful number, since it uses less digits than its factorization.

122985918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1264 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 122985918 is about 11089.9016226475. The cubic root of 122985918 is about 497.3000036163.

The spelling of 122985918 in words is "one hundred twenty-two million, nine hundred eighty-five thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 197 198 297 394 591 594 1051 1182 1773 2102 2167 3153 3546 4334 5319 6306 6501 9459 10638 11561 13002 18918 19503 23122 28377 34683 39006 56754 58509 69366 104049 117018 207047 208098 312147 414094 621141 624294 1242282 1863423 2277517 3726846 4555034 5590269 6832551 11180538 13665102 20497653 40995306 61492959 122985918