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122152115430 = 23257119116137
BaseRepresentation
bin111000111000011010…
…1010101110011100110
3102200021222202101212100
41301300311111303212
54000131420143210
6132041011432530
711553020564262
oct1616065256346
9380258671770
10122152115430
1147893759314
121b8105b5746
13b699021457
145cab0bb0a2
15329ddb45c0
hex1c70d55ce6

122152115430 has 48 divisors (see below), whose sum is σ = 322068693024. Its totient is φ = 32115108480.

The previous prime is 122152115429. The next prime is 122152115441. The reversal of 122152115430 is 34511251221.

It is a happy number.

122152115430 is a `hidden beast` number, since 1 + 2 + 2 + 15 + 211 + 5 + 430 = 666.

It is a super-2 number, since 2×1221521154302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122152115394 and 122152115403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9551679 + ... + 9564458.

It is an arithmetic number, because the mean of its divisors is an integer number (6709764438).

Almost surely, 2122152115430 is an apocalyptic number.

122152115430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122152115430 is an abundant number, since it is smaller than the sum of its proper divisors (199916577594).

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

122152115430 is a wasteful number, since it uses less digits than its factorization.

122152115430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19116221 (or 19116218 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 122152115430 its reverse (34511251221), we get a palindrome (156663366651).

The spelling of 122152115430 in words is "one hundred twenty-two billion, one hundred fifty-two million, one hundred fifteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 19116137 38232274 57348411 95580685 114696822 172045233 191161370 286742055 344090466 573484110 860226165 1357245727 1720452330 2714491454 4071737181 6786228635 8143474362 12215211543 13572457270 20358685905 24430423086 40717371810 61076057715 122152115430