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132330040101300 = 223521930775621487
BaseRepresentation
bin11110000101101001111101…
…000010001000100110110100
3122100112121222000112102111110
4132011221331002020212310
5114321043410231220200
61145235325311435020
736605346516610356
oct3605517502104664
9570477860472443
10132330040101300
1139189944889008
1212a12546825a70
1358ab891410c12
142496b456770d6
15104731c130b50
hex785a7d0889b4

132330040101300 has 144 divisors (see below), whose sum is σ = 404339021757440. Its totient is φ = 33321851591040.

The previous prime is 132330040101299. The next prime is 132330040101307. The reversal of 132330040101300 is 3101040033231.

It is a super-2 number, since 2×1323300401013002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330040101307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36060844 + ... + 39560643.

Almost surely, 2132330040101300 is an apocalyptic number.

132330040101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132330040101300 is an abundant number, since it is smaller than the sum of its proper divisors (272008981656140).

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

132330040101300 is a wasteful number, since it uses less digits than its factorization.

132330040101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75621830 (or 75621823 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132330040101300 its reverse (3101040033231), we get a palindrome (135431080134531).

The spelling of 132330040101300 in words is "one hundred thirty-two trillion, three hundred thirty billion, forty million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 307 380 475 570 614 921 950 1140 1228 1425 1535 1842 1900 2850 3070 3684 4605 5700 5833 6140 7675 9210 11666 15350 17499 18420 23025 23332 29165 30700 34998 46050 58330 69996 87495 92100 116660 145825 174990 291650 349980 437475 583300 874950 1749900 75621487 151242974 226864461 302485948 378107435 453728922 756214870 907457844 1134322305 1436808253 1512429740 1890537175 2268644610 2873616506 3781074350 4310424759 4537289220 5671611525 5747233012 7184041265 7562148700 8620849518 11343223050 14368082530 17241699036 21552123795 22686446100 23215796509 28736165060 35920206325 43104247590 46431593018 69647389527 71840412650 86208495180 92863186036 107760618975 116078982545 139294779054 143680825300 215521237950 232157965090 278589558108 348236947635 431042475900 441100133671 464315930180 580394912725 696473895270 882200267342 1160789825450 1323300401013 1392947790540 1741184738175 1764400534684 2205500668355 2321579650900 2646600802026 3482369476350 4411001336710 5293201604052 6616502005065 6964738952700 8822002673420 11027503341775 13233004010130 22055006683550 26466008020260 33082510025325 44110013367100 66165020050650 132330040101300