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132030302120 = 23517716434253
BaseRepresentation
bin111101011110110011…
…1101000011110101000
3110121210102022021112122
41322331213220132220
54130344224131440
6140353123330412
712352556023343
oct1727547503650
9417712267478
10132030302120
1150aa2733172
1221708820a08
13c5b16cb532
146566db145a
15367b20e7b5
hex1ebd9e87a8

132030302120 has 128 divisors (see below), whose sum is σ = 319544144640. Its totient is φ = 48917729280.

The previous prime is 132030302077. The next prime is 132030302141. The reversal of 132030302120 is 21203030231.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31041914 + ... + 31046166.

It is an arithmetic number, because the mean of its divisors is an integer number (2496438630).

Almost surely, 2132030302120 is an apocalyptic number.

132030302120 is a gapful number since it is divisible by the number (10) 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 132030302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159772072320).

132030302120 is an abundant number, since it is smaller than the sum of its proper divisors (187513842520).

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

132030302120 is a wasteful number, since it uses less digits than its factorization.

132030302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4991 counting only the distinct ones).

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

Adding to 132030302120 its reverse (21203030231), we get a palindrome (153233332351).

The spelling of 132030302120 in words is "one hundred thirty-two billion, thirty million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 340 355 568 643 680 710 1207 1286 1420 2414 2572 2840 3215 4253 4828 5144 6035 6430 8506 9656 10931 12070 12860 17012 21265 21862 24140 25720 34024 42530 43724 45653 48280 54655 72301 85060 87448 91306 109310 144602 170120 182612 218620 228265 289204 301963 361505 365224 437240 456530 578408 603926 723010 776101 913060 1207852 1446020 1509815 1552202 1826120 2415704 2734679 2892040 3019630 3104404 3880505 5133371 5469358 6039260 6208808 7761010 10266742 10938716 12078520 13673395 15522020 20533484 21877432 25666855 27346790 31044040 41066968 46489543 51333710 54693580 92979086 102667420 109387160 185958172 194162209 205334840 232447715 371916344 388324418 464895430 776648836 929790860 970811045 1553297672 1859581720 1941622090 3300757553 3883244180 6601515106 7766488360 13203030212 16503787765 26406060424 33007575530 66015151060 132030302120