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230130202032 = 24332918369269
BaseRepresentation
bin1101011001010011010…
…1000011010110110000
3211000000011120112111000
43112110311003112300
512232301312431112
6253415332522000
722424561304423
oct3262465032660
9730004515430
10230130202032
1189663554a15
1238726180300
13189166709a3
14b1d193d9ba
155ebd71b7dc
hex3594d435b0

230130202032 has 80 divisors (see below), whose sum is σ = 683336844000. Its totient is φ = 74064888576.

The previous prime is 230130202031. The next prime is 230130202039. The reversal of 230130202032 is 230202031032.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 230130201996 and 230130202014.

It is not an unprimeable number, because it can be changed into a prime (230130202031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9172107 + ... + 9197162.

It is an arithmetic number, because the mean of its divisors is an integer number (8541710550).

Almost surely, 2230130202032 is an apocalyptic number.

It is an amenable number.

230130202032 is an abundant number, since it is smaller than the sum of its proper divisors (453206641968).

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

230130202032 is a wasteful number, since it uses less digits than its factorization.

230130202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18369315 (or 18369303 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230130202032 its reverse (230202031032), we get a palindrome (460332233064).

The spelling of 230130202032 in words is "two hundred thirty billion, one hundred thirty million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 12528 18369269 36738538 55107807 73477076 110215614 146954152 165323421 220431228 293908304 330646842 440862456 495970263 532708801 661293684 881724912 991940526 1065417602 1322587368 1598126403 1983881052 2130835204 2645174736 3196252806 3967762104 4261670408 4794379209 6392505612 7935524208 8523340816 9588758418 12785011224 14383137627 19177516836 25570022448 28766275254 38355033672 57532550508 76710067344 115065101016 230130202032