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133202021232 = 2437439219409
BaseRepresentation
bin111110000001101110…
…1011000101101110000
3110201211002002202222210
41330003131120231300
54140244204134412
6141105301332120
712423604333140
oct1740335305560
9421732082883
10133202021232
1151544083075
1221995107040
13c73a3a0357
14663885c920
1536e901083c
hex1f03758b70

133202021232 has 80 divisors (see below), whose sum is σ = 402408807680. Its totient is φ = 37172653056.

The previous prime is 133202021201. The next prime is 133202021233. The reversal of 133202021232 is 232120202331.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 133202021199 and 133202021208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133202021233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4595257 + ... + 4624152.

It is an arithmetic number, because the mean of its divisors is an integer number (5030110096).

Almost surely, 2133202021232 is an apocalyptic number.

133202021232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133202021232 is an abundant number, since it is smaller than the sum of its proper divisors (269206786448).

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

133202021232 is a wasteful number, since it uses less digits than its factorization.

133202021232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219470 (or 9219464 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 133202021232 its reverse (232120202331), we get a palindrome (365322223563).

The spelling of 133202021232 in words is "one hundred thirty-three billion, two hundred two million, twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 14448 9219409 18438818 27658227 36877636 55316454 64535863 73755272 110632908 129071726 147510544 193607589 221265816 258143452 387215178 396434587 442531632 516286904 774430356 792869174 1032573808 1189303761 1548860712 1585738348 2378607522 2775042109 3097721424 3171476696 4757215044 5550084218 6342953392 8325126327 9514430088 11100168436 16650252654 19028860176 22200336872 33300505308 44400673744 66601010616 133202021232