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132003130132020 = 223571463921469579
BaseRepresentation
bin11110000000111001011111…
…101011100100011000110100
3122022101101011002202022122110
4132000321133223210120310
5114300214402303211040
61144425222324331020
736542624422663050
oct3600713753443064
9568341132668573
10132003130132020
1139073238710584
121297b111243a70
135886ac3464684
142484db264ac60
15103da87272980
hex780e5fae4634

132003130132020 has 96 divisors (see below), whose sum is σ = 422438891212800. Its totient is φ = 30170081545344.

The previous prime is 132003130132007. The next prime is 132003130132031. The reversal of 132003130132020 is 20231031300231.

132003130132020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 4586410 + ... + 16883169.

It is an arithmetic number, because the mean of its divisors is an integer number (4400405116800).

Almost surely, 2132003130132020 is an apocalyptic number.

132003130132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132003130132020 is an abundant number, since it is smaller than the sum of its proper divisors (290435761080780).

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

132003130132020 is a wasteful number, since it uses less digits than its factorization.

132003130132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21484237 (or 21484235 counting only the distinct ones).

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

Adding to 132003130132020 its reverse (20231031300231), we get a palindrome (152234161432251).

The spelling of 132003130132020 in words is "one hundred thirty-two trillion, three billion, one hundred thirty million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 14639 29278 43917 58556 73195 87834 102473 146390 175668 204946 219585 292780 307419 409892 439170 512365 614838 878340 1024730 1229676 1537095 2049460 3074190 6148380 21469579 42939158 64408737 85878316 107347895 128817474 150287053 214695790 257634948 300574106 322043685 429391580 450861159 601148212 644087370 751435265 901722318 1288174740 1502870530 1803444636 2254305795 3005741060 4508611590 9017223180 314293166981 628586333962 942879500943 1257172667924 1571465834905 1885759001886 2200052168867 3142931669810 3771518003772 4400104337734 4714397504715 6285863339620 6600156506601 8800208675468 9428795009430 11000260844335 13200313013202 18857590018860 22000521688670 26400626026404 33000782533005 44001043377340 66001565066010 132003130132020