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32130413300 = 225216313991409
BaseRepresentation
bin11101111011000111…
…110011001011110100
310001221020001010000102
4131323013303023310
51011300341211200
622432134133232
72215136002226
oct357307631364
9101836033012
1032130413300
1112698865087
1262884b1218
13305087109b
1417ab370416
15c80b9c6d5
hex77b1f32f4

32130413300 has 72 divisors (see below), whose sum is σ = 70250712000. Its totient is φ = 12755128320.

The previous prime is 32130413281. The next prime is 32130413303. The reversal of 32130413300 is 331403123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130413303) 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, 22802996 + ... + 22804404.

Almost surely, 232130413300 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 32130413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35125356000).

32130413300 is an abundant number, since it is smaller than the sum of its proper divisors (38120298700).

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

32130413300 is a wasteful number, since it uses less digits than its factorization.

32130413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 32130413300 its reverse (331403123), we get a palindrome (32461816423).

The spelling of 32130413300 in words is "thirty-two billion, one hundred thirty million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1399 1409 1630 2798 2818 3260 4075 5596 5636 6995 7045 8150 13990 14090 16300 27980 28180 34975 35225 69950 70450 139900 140900 228037 229667 456074 459334 912148 918668 1140185 1148335 1971191 2280370 2296670 3942382 4560740 4593340 5700925 5741675 7884764 9855955 11401850 11483350 19711910 22803700 22966700 39423820 49279775 98559550 197119100 321304133 642608266 1285216532 1606520665 3213041330 6426082660 8032603325 16065206650 32130413300