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234314120120 = 235231667152783
BaseRepresentation
bin1101101000111000110…
…1011011101110111000
3211101210202100121010012
43122032031123232320
512314333403320440
6255350432441052
722633344105353
oct3321615335670
9741722317105
10234314120120
1190410237563
12394b33a9188
1319132408772
14b4ab48b29a
156165bc0e65
hex368e35bbb8

234314120120 has 64 divisors (see below), whose sum is σ = 550462417920. Its totient is φ = 89596253824.

The previous prime is 234314120111. The next prime is 234314120137. The reversal of 234314120120 is 21021413432.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1457249 + ... + 1610031.

It is an arithmetic number, because the mean of its divisors is an integer number (8600975280).

Almost surely, 2234314120120 is an apocalyptic number.

234314120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234314120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275231208960).

234314120120 is an abundant number, since it is smaller than the sum of its proper divisors (316148297800).

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

234314120120 is a wasteful number, since it uses less digits than its factorization.

234314120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154484 (or 154480 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 234314120120 its reverse (21021413432), we get a palindrome (255335533552).

The spelling of 234314120120 in words is "two hundred thirty-four billion, three hundred fourteen million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1667 3334 6668 8335 13336 16670 33340 38341 66680 76682 152783 153364 191705 305566 306728 383410 611132 763915 766820 1222264 1527830 1533640 3055660 3514009 6111320 7028018 14056036 17570045 28112072 35140090 70280180 140560360 254689261 509378522 1018757044 1273446305 2037514088 2546892610 5093785220 5857853003 10187570440 11715706006 23431412012 29289265015 46862824024 58578530030 117157060060 234314120120