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133020210213 = 32113126472161
BaseRepresentation
bin111101111100010011…
…1110101010000100101
3110201100101222211011100
41323320213311100211
54134411133211323
6141035244430313
712416236062642
oct1737047652045
9421311884140
10133020210213
1151460493830
1221944248399
13c70b814077
14661c652dc9
1536d809a943
hex1ef89f5425

133020210213 has 72 divisors (see below), whose sum is σ = 217022390208. Its totient is φ = 77861088000.

The previous prime is 133020210173. The next prime is 133020210227. The reversal of 133020210213 is 312012020331.

It is not a de Polignac number, because 133020210213 - 28 = 133020209957 is a prime.

It is a super-2 number, since 2×1330202102132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020210283) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61553853 + ... + 61556013.

It is an arithmetic number, because the mean of its divisors is an integer number (3014199864).

Almost surely, 2133020210213 is an apocalyptic number.

It is an amenable number.

133020210213 is a deficient number, since it is larger than the sum of its proper divisors (84002179995).

133020210213 is a wasteful number, since it uses less digits than its factorization.

133020210213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133020210213 its reverse (312012020331), we get a palindrome (445032230544).

The spelling of 133020210213 in words is "one hundred thirty-three billion, twenty million, two hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 11 31 33 93 99 279 341 647 961 1023 1941 2161 2883 3069 5823 6483 7117 8649 10571 19449 20057 21351 23771 31713 60171 64053 66991 71313 95139 180513 200973 213939 220627 602919 621767 661881 736901 1398167 1865301 1985643 2076721 2210703 4194501 5595903 6230163 6632109 6839437 12583503 15379837 18690489 20518311 22843931 43343177 46139511 61554933 68531793 130029531 138418533 205595379 390088593 476774947 1343638487 1430324841 4030915461 4290974523 12092746383 14780023357 44340070071 133020210213