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133132021000 = 23531143128081
BaseRepresentation
bin111101111111101001…
…0010110110100001000
3110201122012101101201121
41323333102112310020
54140123244133000
6141054321125024
712422064335626
oct1737722266410
9421565341647
10133132021000
1151508611940
1221975789774
13c728a316b4
14662d43a516
1536e2cd4b1a
hex1eff496d08

133132021000 has 128 divisors (see below), whose sum is σ = 340650385920. Its totient is φ = 48297600000.

The previous prime is 133132020961. The next prime is 133132021007. The reversal of 133132021000 is 120231331.

It is not an unprimeable number, because it can be changed into a prime (133132021007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4726960 + ... + 4755040.

It is an arithmetic number, because the mean of its divisors is an integer number (2661331140).

Almost surely, 2133132021000 is an apocalyptic number.

133132021000 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 133132021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170325192960).

133132021000 is an abundant number, since it is smaller than the sum of its proper divisors (207518364920).

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

133132021000 is a wasteful number, since it uses less digits than its factorization.

133132021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28544 (or 28530 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 133132021000 its reverse (120231331), we get a palindrome (133252252331).

The spelling of 133132021000 in words is "one hundred thirty-three billion, one hundred thirty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 431 440 500 550 862 1000 1100 1375 1724 2155 2200 2750 3448 4310 4741 5500 8620 9482 10775 11000 17240 18964 21550 23705 28081 37928 43100 47410 53875 56162 86200 94820 107750 112324 118525 140405 189640 215500 224648 237050 280810 308891 431000 474100 561620 592625 617782 702025 948200 1123240 1185250 1235564 1404050 1544455 2370500 2471128 2808100 3088910 3510125 4741000 5616200 6177820 7020250 7722275 12102911 12355640 14040500 15444550 24205822 28081000 30889100 38611375 48411644 60514555 61778200 77222750 96823288 121029110 133132021 154445500 242058220 266264042 302572775 308891000 484116440 532528084 605145550 665660105 1065056168 1210291100 1331320210 1512863875 2420582200 2662640420 3025727750 3328300525 5325280840 6051455500 6656601050 12102911000 13313202100 16641502625 26626404200 33283005250 66566010500 133132021000