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133011031014 = 2357310133701
BaseRepresentation
bin111101111100000010…
…0110100001111100110
3110201022202201110200000
41323320010310033212
54134401310443024
6141034320002130
712416065052301
oct1737004641746
9421282643600
10133011031014
1151456294314
1221941160346
13c70994bca4
14661b343b38
1536d7385cc9
hex1ef81343e6

133011031014 has 96 divisors (see below), whose sum is σ = 303339333024. Its totient is φ = 43674681600.

The previous prime is 133011031009. The next prime is 133011031073. The reversal of 133011031014 is 410130110331.

133011031014 is a `hidden beast` number, since 1 + 330 + 1 + 10 + 310 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35937364 + ... + 35941064.

It is an arithmetic number, because the mean of its divisors is an integer number (3159784719).

Almost surely, 2133011031014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133011031014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151669666512).

133011031014 is an abundant number, since it is smaller than the sum of its proper divisors (170328302010).

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

133011031014 is a wasteful number, since it uses less digits than its factorization.

133011031014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133011031014 its reverse (410130110331), we get a palindrome (543141141345).

The spelling of 133011031014 in words is "one hundred thirty-three billion, eleven million, thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 1013 1314 1971 2026 3039 3701 3942 5913 6078 7402 9117 11103 11826 17739 18234 22206 27351 33309 35478 54702 66618 73949 82053 99927 147898 164106 199854 221847 246159 270173 299781 443694 492318 540346 599562 665541 810519 899343 1331082 1621038 1798686 1996623 2431557 3749113 3993246 4863114 5989869 7294671 7498226 11247339 11979738 14589342 17969607 21884013 22494678 33742017 35939214 43768026 65652039 67484034 101226051 131304078 202452102 273685249 303678153 547370498 607356306 821055747 911034459 1642111494 1822068918 2463167241 4926334482 7389501723 14779003446 22168505169 44337010338 66505515507 133011031014