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133212212113332 = 2231183137100987959
BaseRepresentation
bin11110010010011111100010…
…100101010010111110110100
3122110122222000002210212212010
4132102133202211102332310
5114430022102300111312
61151152502335324220
740026156541154532
oct3622374245227664
9573588002725763
10133212212113332
1139499a889a2650
1212b35504380670
135943b1c4a4801
1424c771100b152
15106024e43093c
hex7927e2952fb4

133212212113332 has 192 divisors, whose sum is σ = 346022424115200. Its totient is φ = 39550195077120.

The previous prime is 133212212113289. The next prime is 133212212113447. The reversal of 133212212113332 is 233311212212331.

It is a happy number.

It is a super-2 number, since 2×1332122121133322 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133212212113332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1514436769 + ... + 1514524727.

It is an arithmetic number, because the mean of its divisors is an integer number (1802200125600).

Almost surely, 2133212212113332 is an apocalyptic number.

133212212113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133212212113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173011212057600).

133212212113332 is an abundant number, since it is smaller than the sum of its proper divisors (212810212001868).

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

133212212113332 is a wasteful number, since it uses less digits than its factorization.

133212212113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89206 (or 89204 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 133212212113332 its reverse (233311212212331), we get a palindrome (366523424325663).

The spelling of 133212212113332 in words is "one hundred thirty-three trillion, two hundred twelve billion, two hundred twelve million, one hundred thirteen thousand, three hundred thirty-two".