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133233120032 = 2537985111423
BaseRepresentation
bin111110000010101010…
…0000001001100100000
3110201220020121202112012
41330011110001030200
54140330134320112
6141112332052052
712424432556165
oct1740524011440
9421806552465
10133233120032
115155a694061
12219a3604028
13c74396b4cc
14663ca3606c
1536ebb05022
hex1f05501320

133233120032 has 48 divisors (see below), whose sum is σ = 269442899712. Its totient is φ = 64803859200.

The previous prime is 133233120029. The next prime is 133233120037. The reversal of 133233120032 is 230021332331.

It is a super-2 number, since 2×1332331200322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133233120037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11657873 + ... + 11669295.

It is an arithmetic number, because the mean of its divisors is an integer number (5613393744).

Almost surely, 2133233120032 is an apocalyptic number.

It is an amenable number.

133233120032 is an abundant number, since it is smaller than the sum of its proper divisors (136209779680).

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

133233120032 is a wasteful number, since it uses less digits than its factorization.

133233120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21321 (or 21313 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 133233120032 its reverse (230021332331), we get a palindrome (363254452363).

The spelling of 133233120032 in words is "one hundred thirty-three billion, two hundred thirty-three million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 9851 11423 19702 22846 39404 45692 78808 91384 157616 182768 315232 364487 365536 422651 728974 845302 1457948 1690604 2915896 3381208 5831792 6762416 11663584 13524832 112527973 225055946 450111892 900223784 1800447568 3600895136 4163535001 8327070002 16654140004 33308280008 66616560016 133233120032