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133222977720 = 23345724197211
BaseRepresentation
bin111110000010010110…
…1010101000010111000
3110201212112112110220000
41330010231111002320
54140320040241340
6141111330433000
712424250424600
oct1740455250270
9421775473800
10133222977720
1151554996a88
12219a0132760
13c741829c41
14663b555c00
1536eac9ed30
hex1f04b550b8

133222977720 has 960 divisors, whose sum is σ = 541644032160. Its totient is φ = 29262643200.

The previous prime is 133222977709. The next prime is 133222977737. The reversal of 133222977720 is 27779222331.

It is a happy number.

133222977720 is a `hidden beast` number, since 1 + 332 + 2 + 297 + 7 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 631388415 + ... + 631388625.

Almost surely, 2133222977720 is an apocalyptic number.

133222977720 is a gapful number since it is divisible by the number (10) 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 133222977720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270822016080).

133222977720 is an abundant number, since it is smaller than the sum of its proper divisors (408421054440).

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

133222977720 is a wasteful number, since it uses less digits than its factorization.

133222977720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 133222977720 in words is "one hundred thirty-three billion, two hundred twenty-two million, nine hundred seventy-seven thousand, seven hundred twenty".