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13130102232 = 23321324158207
BaseRepresentation
bin11000011101001110…
…10111010111011000
31020220001121022011200
430032213113113120
5203342301232412
610010515354200
7643243012302
oct141647272730
936801538150
1013130102232
115628667165
1226652b2960
131313324b80
148c7b54972
1551caa09dc
hex30e9d75d8

13130102232 has 96 divisors (see below), whose sum is σ = 38455697280. Its totient is φ = 4023198720.

The previous prime is 13130102179. The next prime is 13130102261. The reversal of 13130102232 is 23220103131.

13130102232 is a `hidden beast` number, since 131 + 301 + 0 + 2 + 232 = 666.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 196473 + ... + 254679.

It is an arithmetic number, because the mean of its divisors is an integer number (400580180).

Almost surely, 213130102232 is an apocalyptic number.

13130102232 is a gapful number since it is divisible by the number (12) 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 13130102232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19227848640).

13130102232 is an abundant number, since it is smaller than the sum of its proper divisors (25325595048).

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

13130102232 is a wasteful number, since it uses less digits than its factorization.

13130102232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58473 (or 58466 counting only the distinct ones).

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

Adding to 13130102232 its reverse (23220103131), we get a palindrome (36350205363).

The spelling of 13130102232 in words is "thirteen billion, one hundred thirty million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 241 312 468 482 723 936 964 1446 1928 2169 2892 3133 4338 5784 6266 8676 9399 12532 17352 18798 25064 28197 37596 56394 58207 75192 112788 116414 174621 225576 232828 349242 465656 523863 698484 756691 1047726 1396968 1513382 2095452 2270073 3026764 4190904 4540146 6053528 6810219 9080292 13620438 14027887 18160584 27240876 28055774 42083661 54481752 56111548 84167322 112223096 126250983 168334644 182362531 252501966 336669288 364725062 505003932 547087593 729450124 1010007864 1094175186 1458900248 1641262779 2188350372 3282525558 4376700744 6565051116 13130102232