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32013210033 = 3272229359883
BaseRepresentation
bin11101110100001000…
…101101000110110001
310001122001111120100200
4131310020231012301
51011030340210113
622412350105413
72212213536600
oct356410550661
9101561446320
1032013210033
1112638693582
1262551ab269
1330324b613c
141799981a37
15c7574a873
hex77422d1b1

32013210033 has 72 divisors (see below), whose sum is σ = 54237643200. Its totient is φ = 18142076736.

The previous prime is 32013210023. The next prime is 32013210037. The reversal of 32013210033 is 33001231023.

It is not a de Polignac number, because 32013210033 - 28 = 32013209777 is a prime.

It is a super-2 number, since 2×320132100332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32013209988 and 32013210015.

It is not an unprimeable number, because it can be changed into a prime (32013210037) 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 71 ways as a sum of consecutive naturals, for example, 36254610 + ... + 36255492.

It is an arithmetic number, because the mean of its divisors is an integer number (753300600).

Almost surely, 232013210033 is an apocalyptic number.

It is an amenable number.

32013210033 is a deficient number, since it is larger than the sum of its proper divisors (22224433167).

32013210033 is a wasteful number, since it uses less digits than its factorization.

32013210033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 32013210033 its reverse (33001231023), we get a palindrome (65014441056).

The spelling of 32013210033 in words is "thirty-two billion, thirteen million, two hundred ten thousand, thirty-three".

Divisors: 1 3 7 9 21 49 63 147 229 359 441 687 883 1077 1603 2061 2513 2649 3231 4809 6181 7539 7947 11221 14427 17591 18543 22617 33663 43267 52773 55629 82211 100989 129801 158319 202207 246633 316997 389403 575477 606621 739899 950991 1415449 1726431 1819863 2218979 2852973 4028339 4246347 5179293 6656937 9908143 12085017 12739041 15532853 19970811 29724429 36255051 46598559 72592313 89173287 139795677 217776939 508146191 653330817 1524438573 3557023337 4573315719 10671070011 32013210033