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235121153130 = 232529173520721
BaseRepresentation
bin1101101011111001010…
…0000001010001101010
3211110212222221010021200
43122332110001101222
512323012003400010
6300002502145030
722662343553313
oct3327624012152
9743788833250
10235121153130
1190794841396
1239699722176
13192306818a6
14b54672760a
1561b1986cc0
hex36be50146a

235121153130 has 96 divisors (see below), whose sum is σ = 636051508560. Its totient is φ = 60186900480.

The previous prime is 235121153053. The next prime is 235121153143. The reversal of 235121153130 is 31351121532.

235121153130 is a `hidden beast` number, since 2 + 3 + 5 + 121 + 1 + 531 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 100045057401 + 135076095729 = 316299^2 + 367527^2 .

It is a junction number, because it is equal to n+sod(n) for n = 235121153094 and 235121153103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191170 + ... + 711890.

Almost surely, 2235121153130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235121153130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318025754280).

235121153130 is an abundant number, since it is smaller than the sum of its proper divisors (400930355430).

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

235121153130 is a wasteful number, since it uses less digits than its factorization.

235121153130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520936 (or 520933 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 235121153130 its reverse (31351121532), we get a palindrome (266472274662).

The spelling of 235121153130 in words is "two hundred thirty-five billion, one hundred twenty-one million, one hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 173 174 261 290 346 435 519 522 865 870 1038 1305 1557 1730 2595 2610 3114 5017 5190 7785 10034 15051 15570 25085 30102 45153 50170 75255 90306 150510 225765 451530 520721 1041442 1562163 2603605 3124326 4686489 5207210 7810815 9372978 15100909 15621630 23432445 30201818 45302727 46864890 75504545 90084733 90605454 135908181 151009090 180169466 226513635 270254199 271816362 450423665 453027270 540508398 679540905 810762597 900847330 1351270995 1359081810 1621525194 2612457257 2702541990 4053812985 5224914514 7837371771 8107625970 13062286285 15674743542 23512115313 26124572570 39186858855 47024230626 78373717710 117560576565 235121153130