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32130102032 = 2472377315173
BaseRepresentation
bin11101111011000110…
…100111001100010000
310001221012110022000222
4131323012213030100
51011300301231112
622432123332212
72215133234600
oct357306471420
9101835408028
1032130102032
1112698672236
126288381068
1330507924c2
1417ab2ccc00
15c80b3a372
hex77b1a7310

32130102032 has 120 divisors (see below), whose sum is σ = 75396631896. Its totient is φ = 13213476864.

The previous prime is 32130102031. The next prime is 32130102041. The reversal of 32130102032 is 23020103123.

It can be written as a sum of positive squares in 4 ways, for example, as 19978126336 + 12151975696 = 141344^2 + 110236^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32130102032.

It is not an unprimeable number, because it can be changed into a prime (32130102031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2109998 + ... + 2125170.

Almost surely, 232130102032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32130102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37698315948).

32130102032 is an abundant number, since it is smaller than the sum of its proper divisors (43266529864).

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

32130102032 is a wasteful number, since it uses less digits than its factorization.

32130102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15305 (or 15292 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 32130102032 its reverse (23020103123), we get a palindrome (55150205155).

The spelling of 32130102032 in words is "thirty-two billion, one hundred thirty million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 73 74 98 112 146 148 196 259 292 296 392 511 518 584 592 784 1022 1036 1168 1813 2044 2072 2701 3577 3626 4088 4144 5402 7154 7252 8176 10804 14308 14504 15173 18907 21608 28616 29008 30346 37814 43216 57232 60692 75628 106211 121384 132349 151256 212422 242768 264698 302512 424844 529396 561401 743477 849688 1058792 1107629 1122802 1486954 1699376 2117584 2215258 2245604 2973908 3929807 4430516 4491208 5947816 7753403 7859614 8861032 8982416 11895632 15506806 15719228 17722064 27508649 31013612 31438456 40982273 54273821 55017298 62027224 62876912 81964546 108547642 110034596 124054448 163929092 217095284 220069192 286875911 327858184 434190568 440138384 573751822 655716368 868381136 1147503644 2008131377 2295007288 4016262754 4590014576 8032525508 16065051016 32130102032