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132141122031132 = 22328234460008169
BaseRepresentation
bin11110000010111010000000…
…101000111000111000011100
3122022212120022222212002211200
4132002322000220320320130
5114310000004214444012
61145012443213515500
736555611121530604
oct3602720050707034
9568776288762750
10132141122031132
113911680a524805
12129a1a024a2b90
135896b14ca3c96
14248b9432b1c04
151042461a313dc
hex782e80a38e1c

132141122031132 has 36 divisors (see below), whose sum is σ = 334429252619280. Its totient is φ = 43993520569152.

The previous prime is 132141122031097. The next prime is 132141122031221. The reversal of 132141122031132 is 231130221141231.

132141122031132 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 411 + 2 + 203 + 11 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1321411220311322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132141122031096 and 132141122031105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2229974457 + ... + 2230033712.

Almost surely, 2132141122031132 is an apocalyptic number.

132141122031132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132141122031132 is an abundant number, since it is smaller than the sum of its proper divisors (202288130588148).

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

132141122031132 is a wasteful number, since it uses less digits than its factorization.

132141122031132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460009002 (or 4460008997 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 132141122031132 its reverse (231130221141231), we get a palindrome (363271343172363).

The spelling of 132141122031132 in words is "one hundred thirty-two trillion, one hundred forty-one billion, one hundred twenty-two million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 823 1646 2469 3292 4938 7407 9876 14814 29628 4460008169 8920016338 13380024507 17840032676 26760049014 40140073521 53520098028 80280147042 160560294084 3670586723087 7341173446174 11011760169261 14682346892348 22023520338522 33035280507783 44047040677044 66070561015566 132141122031132