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132141011412222 = 2343139316693571
BaseRepresentation
bin11110000010111001111010…
…000010111010010011111110
3122022212120001021201002020000
4132002321322002322103332
5114304444242410142342
61145012424222535130
736555605306350521
oct3602717202722376
9568776037632200
10132141011412222
113911676304011a
12129a19914374a6
135896ac80b2cc7
14248b932718bb8
151042456e8044c
hex782e7a0ba4fe

132141011412222 has 80 divisors (see below), whose sum is σ = 305722957208064. Its totient is φ = 42615282762000.

The previous prime is 132141011412131. The next prime is 132141011412269. The reversal of 132141011412222 is 222214110141231.

132141011412222 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 10 + 11 + 412 + 222 = 666.

It is a super-2 number, since 2×1321410114122222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16394697 + ... + 23088267.

Almost surely, 2132141011412222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132141011412222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152861478604032).

132141011412222 is an abundant number, since it is smaller than the sum of its proper divisors (173581945795842).

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

132141011412222 is a wasteful number, since it uses less digits than its factorization.

132141011412222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6697547 (or 6697538 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 132141011412222 its reverse (222214110141231), we get a palindrome (354355121553453).

The spelling of 132141011412222 in words is "one hundred thirty-two trillion, one hundred forty-one billion, eleven million, four hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2511 3931 5022 7862 11793 23586 35379 70758 106137 121861 212274 243722 318411 365583 636822 731166 1096749 2193498 3290247 6580494 6693571 9870741 13387142 19741482 20080713 40161426 60242139 120484278 180726417 207500701 361452834 415001402 542179251 622502103 1084358502 1245004206 1867506309 3735012618 5602518927 11205037854 16807556781 26312427601 33615113562 52624855202 78937282803 157874565606 236811848409 473623696818 710435545227 815685255631 1420871090454 1631370511262 2131306635681 2447055766893 4262613271362 4894111533786 7341167300679 14682334601358 22023501902037 44047003804074 66070505706111 132141011412222