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133025041512 = 233211293957149
BaseRepresentation
bin111101111100011101…
…0010000110001101000
3110201100202002021110100
41323320322100301220
54134413402312022
6141035540145400
712416325124236
oct1737072206150
9421322067410
10133025041512
1151463193640
1221945998260
13c70c81611c
14661d14d956
1536d87021ac
hex1ef8e90c68

133025041512 has 96 divisors (see below), whose sum is σ = 393169140000. Its totient is φ = 40296197760.

The previous prime is 133025041489. The next prime is 133025041517. The reversal of 133025041512 is 215140520331.

133025041512 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 504 + 151 + 2 = 666.

It is a super-2 number, since 2×1330250415122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133025041517) 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 23 ways as a sum of consecutive naturals, for example, 2299114 + ... + 2356262.

It is an arithmetic number, because the mean of its divisors is an integer number (4095511875).

Almost surely, 2133025041512 is an apocalyptic number.

133025041512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133025041512 is an abundant number, since it is smaller than the sum of its proper divisors (260144098488).

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

133025041512 is a wasteful number, since it uses less digits than its factorization.

133025041512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60111 (or 60104 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 133025041512 its reverse (215140520331), we get a palindrome (348165561843).

The spelling of 133025041512 in words is "one hundred thirty-three billion, twenty-five million, forty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2939 5878 8817 11756 17634 23512 26451 32329 35268 52902 57149 64658 70536 96987 105804 114298 129316 171447 193974 211608 228596 258632 290961 342894 387948 457192 514341 581922 628639 685788 775896 1028682 1163844 1257278 1371576 1885917 2057364 2327688 2514556 3771834 4114728 5029112 5657751 7543668 11315502 15087336 22631004 45262008 167960911 335921822 503882733 671843644 1007765466 1343687288 1511648199 1847570021 2015530932 3023296398 3695140042 4031061864 5542710063 6046592796 7390280084 11085420126 12093185592 14780560168 16628130189 22170840252 33256260378 44341680504 66512520756 133025041512