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132301213232100 = 223521148197831821
BaseRepresentation
bin11110000101001111000110…
…110100010110101111100100
3122100102212120000200202001020
4132011033012310112233210
5114320110341041411400
61145214201023531140
736603306253351053
oct3605170664265744
9570385500622036
10132301213232100
11391786a1869570
1212a08a40759ab0
1358a8c490c3373
1424955acd6639a
1510466d14d62a0
hex7853c6d16be4

132301213232100 has 144 divisors (see below), whose sum is σ = 417599904770496. Its totient is φ = 32072317376000.

The previous prime is 132301213232077. The next prime is 132301213232117. The reversal of 132301213232100 is 1232312103231.

It is a super-2 number, since 2×1323012132321002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158634190 + ... + 159466010.

It is an arithmetic number, because the mean of its divisors is an integer number (2899999338684).

Almost surely, 2132301213232100 is an apocalyptic number.

132301213232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132301213232100 is an abundant number, since it is smaller than the sum of its proper divisors (285298691538396).

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

132301213232100 is a wasteful number, since it uses less digits than its factorization.

132301213232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880046 (or 880039 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132301213232100 its reverse (1232312103231), we get a palindrome (133533525335331).

The spelling of 132301213232100 in words is "one hundred thirty-two trillion, three hundred one billion, two hundred thirteen million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 48197 96394 144591 192788 240985 289182 481970 530167 578364 722955 831821 963940 1060334 1204925 1445910 1590501 1663642 2120668 2409850 2495463 2650835 2891820 3181002 3327284 3614775 4159105 4819700 4990926 5301670 6362004 7229550 7952505 8318210 9150031 9981852 10603340 12477315 13254175 14459100 15905010 16636420 18300062 20795525 24954630 26508350 27450093 31810020 36600124 39762525 41591050 45750155 49909260 53016700 54900186 62386575 79525050 83182100 91500310 109800372 124773150 137250465 159050100 183000620 228750775 249546300 274500930 457501550 549001860 686252325 915003100 1372504650 2745009300 40091276737 80182553474 120273830211 160365106948 200456383685 240547660422 400912767370 441004044107 481095320844 601369151055 801825534740 882008088214 1002281918425 1202738302110 1323012132321 1764016176428 2004563836850 2205020220535 2405476604220 2646024264642 3006845755275 4009127673700 4410040441070 5292048529284 6013691510550 6615060661605 8820080882140 11025101102675 12027383021100 13230121323210 22050202205350 26460242646420 33075303308025 44100404410700 66150606616050 132301213232100