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230212013130 = 232511751309637
BaseRepresentation
bin1101011001100110110…
…1001000110001001010
3211000012212111222012200
43112121231020301022
512232433233410010
6253431414221030
722426603552641
oct3263155106112
9730185458180
10230212013130
11896a57528a0
1238749654776
131892a5b6518
14b1dc758358
155ec59cbcc0
hex3599b48c4a

230212013130 has 96 divisors (see below), whose sum is σ = 653836555008. Its totient is φ = 55734480000.

The previous prime is 230212013123. The next prime is 230212013147. The reversal of 230212013130 is 31310212032.

230212013130 is a `hidden beast` number, since 230 + 2 + 120 + 1 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 588672 + ... + 898308.

It is an arithmetic number, because the mean of its divisors is an integer number (6810797448).

Almost surely, 2230212013130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230212013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326918277504).

230212013130 is an abundant number, since it is smaller than the sum of its proper divisors (423624541878).

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

230212013130 is a wasteful number, since it uses less digits than its factorization.

230212013130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310412 (or 310409 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230212013130 its reverse (31310212032), we get a palindrome (261522225162).

The spelling of 230212013130 in words is "two hundred thirty billion, two hundred twelve million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 751 990 1502 2253 3755 4506 6759 7510 8261 11265 13518 16522 22530 24783 33795 41305 49566 67590 74349 82610 123915 148698 247830 309637 371745 619274 743490 928911 1548185 1857822 2786733 3096370 3406007 4644555 5573466 6812014 9289110 10218021 13933665 17030035 20436042 27867330 30654063 34060070 51090105 61308126 102180210 153270315 232537387 306540630 465074774 697612161 1162686935 1395224322 2092836483 2325373870 2557911257 3488060805 4185672966 5115822514 6976121610 7673733771 10464182415 12789556285 15347467542 20928364830 23021201313 25579112570 38368668855 46042402626 76737337710 115106006565 230212013130