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132115242402 = 2331113237110477
BaseRepresentation
bin111101100001010101…
…1101001110110100010
3110122000100010200201000
41323002223221312202
54131033000224102
6140405400052430
712354640013553
oct1730253516642
9418010120630
10132115242402
1151036679050
1221731164116
13c5c619b460
1465743a232a
1536838dc01c
hex1ec2ae9da2

132115242402 has 256 divisors, whose sum is σ = 365016637440. Its totient is φ = 34847366400.

The previous prime is 132115242383. The next prime is 132115242421. The reversal of 132115242402 is 204242511231.

132115242402 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 15 + 242 + 402 = 666.

It is an interprime number because it is at equal distance from previous prime (132115242383) and next prime (132115242421).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12604788 + ... + 12615264.

It is an arithmetic number, because the mean of its divisors is an integer number (1425846240).

Almost surely, 2132115242402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132115242402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182508318720).

132115242402 is an abundant number, since it is smaller than the sum of its proper divisors (232901395038).

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

132115242402 is a wasteful number, since it uses less digits than its factorization.

132115242402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10606 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 132115242402 its reverse (204242511231), we get a palindrome (336357753633).

The spelling of 132115242402 in words is "one hundred thirty-two billion, one hundred fifteen million, two hundred forty-two thousand, four hundred two".