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133001001432 = 23351383163389
BaseRepresentation
bin111101111011101111…
…0100011100111011000
3110201022001211220200000
41323313132203213120
54134341224021212
6141033321013000
712415613600445
oct1736736434730
9421261756600
10133001001432
1151450663a02
1221939924160
13c707849b20
146619c929cc
1536d65541dc
hex1ef77a39d8

133001001432 has 384 divisors, whose sum is σ = 410684601600. Its totient is φ = 40078996992.

The previous prime is 133001001401. The next prime is 133001001461. The reversal of 133001001432 is 234100100331.

133001001432 is a `hidden beast` number, since 133 + 0 + 0 + 100 + 1 + 432 = 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 95 ways as a sum of consecutive naturals, for example, 341904694 + ... + 341905082.

It is an arithmetic number, because the mean of its divisors is an integer number (1069491150).

Almost surely, 2133001001432 is an apocalyptic number.

133001001432 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 133001001432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205342300800).

133001001432 is an abundant number, since it is smaller than the sum of its proper divisors (277683600168).

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

133001001432 is a wasteful number, since it uses less digits than its factorization.

133001001432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133001001432 its reverse (234100100331), we get a palindrome (367101101763).

The spelling of 133001001432 in words is "one hundred thirty-three billion, one million, one thousand, four hundred thirty-two".