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2000133132 = 2232943731831
BaseRepresentation
bin111011100110111…
…1001110000001100
312011101121021211220
41313031321300030
513044013230012
6530245443340
7100364564634
oct16715716014
95141537756
102000133132
11937028698
12479a10550
1325b4c2b3a
1414d8d16c4
15ba8dc08c
hex77379c0c

2000133132 has 96 divisors (see below), whose sum is σ = 5010593280. Its totient is φ = 619799040.

The previous prime is 2000133127. The next prime is 2000133137. The reversal of 2000133132 is 2313310002.

It is an interprime number because it is at equal distance from previous prime (2000133127) and next prime (2000133137).

It is not an unprimeable number, because it can be changed into a prime (2000133137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091457 + ... + 1093287.

It is an arithmetic number, because the mean of its divisors is an integer number (52193680).

Almost surely, 22000133132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505296640).

2000133132 is an abundant number, since it is smaller than the sum of its proper divisors (3010460148).

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

2000133132 is a wasteful number, since it uses less digits than its factorization.

2000133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2000133132 is about 44722.8479862363. The cubic root of 2000133132 is about 1259.9490052428.

Adding to 2000133132 its reverse (2313310002), we get a palindrome (4313443134).

The spelling of 2000133132 in words is "two billion, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 43 58 73 86 87 116 129 146 172 174 219 258 292 348 438 516 876 1247 1831 2117 2494 3139 3662 3741 4234 4988 5493 6278 6351 7324 7482 8468 9417 10986 12556 12702 14964 18834 21972 25404 37668 53099 78733 91031 106198 133663 157466 159297 182062 212396 236199 267326 273093 314932 318594 364124 400989 472398 534652 546186 637188 801978 944796 1092372 1603956 2283257 3876227 4566514 5747509 6849771 7752454 9133028 11495018 11628681 13699542 15504908 17242527 22990036 23257362 27399084 34485054 46514724 68970108 166677761 333355522 500033283 666711044 1000066566 2000133132