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132101322102 = 23217838958441
BaseRepresentation
bin111101100000111011…
…0100011010101110110
3110121222100221110122100
41323001312203111312
54131020414301402
6140404141442530
712354410465601
oct1730166432566
9417870843570
10132101322102
1151029830572
1221728570446
13c5c33363a9
1465725bb338
15368258c71c
hex1ec1da3576

132101322102 has 96 divisors (see below), whose sum is σ = 310158707040. Its totient is φ = 40483491840.

The previous prime is 132101322091. The next prime is 132101322151. The reversal of 132101322102 is 201223101231.

132101322102 is a `hidden beast` number, since 1 + 321 + 0 + 132 + 210 + 2 = 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 47 ways as a sum of consecutive naturals, for example, 2231202 + ... + 2289642.

It is an arithmetic number, because the mean of its divisors is an integer number (3230819865).

Almost surely, 2132101322102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132101322102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155079353520).

132101322102 is an abundant number, since it is smaller than the sum of its proper divisors (178057384938).

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

132101322102 is a wasteful number, since it uses less digits than its factorization.

132101322102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58638 (or 58635 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132101322102 its reverse (201223101231), we get a palindrome (333324423333).

The spelling of 132101322102 in words is "one hundred thirty-two billion, one hundred one million, three hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 83 89 102 153 166 178 249 267 306 498 534 747 801 1411 1494 1513 1602 2822 3026 4233 4539 7387 8466 9078 12699 13617 14774 22161 25398 27234 44322 58441 66483 116882 125579 132966 175323 251158 350646 376737 525969 753474 993497 1051938 1130211 1986994 2260422 2980491 4850603 5201249 5960982 8941473 9701206 10402498 14551809 15603747 17882946 29103618 31207494 43655427 46811241 82460251 87310854 88421233 93622482 164920502 176842466 247380753 265263699 431703667 494761506 530527398 742142259 795791097 863407334 1295111001 1484284518 1591582194 2590222002 3885333003 7338962339 7770666006 14677924678 22016887017 44033774034 66050661051 132101322102