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133323111201 = 37177937912473
BaseRepresentation
bin111110000101010101…
…1010011101100100001
3110202010111221210012110
41330022223103230201
54141021204024301
6141125304545533
712426604514130
oct1741253235441
9422114853173
10133323111201
11515a6469825
1221a097822a9
13c7594b9417
14664a97d917
15370497e0d6
hex1f0aad3b21

133323111201 has 64 divisors (see below), whose sum is σ = 218424729600. Its totient is φ = 70603094016.

The previous prime is 133323111199. The next prime is 133323111209. The reversal of 133323111201 is 102111323331.

It is a happy number.

It is not a de Polignac number, because 133323111201 - 21 = 133323111199 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (133323111209) 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 63 ways as a sum of consecutive naturals, for example, 10682701 + ... + 10695173.

It is an arithmetic number, because the mean of its divisors is an integer number (3412886400).

Almost surely, 2133323111201 is an apocalyptic number.

It is an amenable number.

133323111201 is a deficient number, since it is larger than the sum of its proper divisors (85101618399).

133323111201 is a wasteful number, since it uses less digits than its factorization.

133323111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12958.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133323111201 its reverse (102111323331), we get a palindrome (235434434532).

The spelling of 133323111201 in words is "one hundred thirty-three billion, three hundred twenty-three million, one hundred eleven thousand, two hundred one".

Divisors: 1 3 7 17 21 51 79 119 237 357 379 553 1137 1343 1659 2653 4029 6443 7959 9401 12473 19329 28203 29941 37419 45101 87311 89823 135303 209587 212041 261933 508997 628761 636123 985367 1484287 1526991 2956101 3562979 4452861 4727267 6897569 10688937 14181801 16751239 20692707 33090869 50253717 80363539 99272607 117258673 241090617 351776019 373454093 562544773 1120362279 1687634319 2614178651 6348719581 7842535953 19046158743 44441037067 133323111201