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234132133260 = 223531532375047
BaseRepresentation
bin1101101000001101011…
…1001101010110001100
3211101100001220201002010
43122003113031112030
512314000311231020
6255320412101220
722626004203414
oct3320327152614
9741301821063
10234132133260
11903275380a3
1239462464810
13191037ba42c
14b491237644
156154c23de0
hex36835cd58c

234132133260 has 96 divisors (see below), whose sum is σ = 689485934592. Its totient is φ = 59281148160.

The previous prime is 234132133189. The next prime is 234132133271. The reversal of 234132133260 is 62331231432.

234132133260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088944 + ... + 1286103.

It is an arithmetic number, because the mean of its divisors is an integer number (7182145152).

Almost surely, 2234132133260 is an apocalyptic number.

234132133260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234132133260 is an abundant number, since it is smaller than the sum of its proper divisors (455353801332).

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

234132133260 is a wasteful number, since it uses less digits than its factorization.

234132133260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375143 (or 2375141 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 234132133260 its reverse (62331231432), we get a palindrome (296463364692).

The spelling of 234132133260 in words is "two hundred thirty-four billion, one hundred thirty-two million, one hundred thirty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 53 60 62 93 106 124 155 159 186 212 265 310 318 372 465 530 620 636 795 930 1060 1590 1643 1860 3180 3286 4929 6572 8215 9858 16430 19716 24645 32860 49290 98580 2375047 4750094 7125141 9500188 11875235 14250282 23750470 28500564 35625705 47500940 71251410 73626457 125877491 142502820 147252914 220879371 251754982 294505828 368132285 377632473 441758742 503509964 629387455 736264570 755264946 883517484 1104396855 1258774910 1472529140 1510529892 1888162365 2208793710 2517549820 3776324730 3902202221 4417587420 7552649460 7804404442 11706606663 15608808884 19511011105 23413213326 39022022210 46826426652 58533033315 78044044420 117066066630 234132133260