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102132294 = 231117227401
BaseRepresentation
bin1100001011001…
…10101001000110
321010011212011120
412011212221012
5202121213134
614045014410
72350052535
oct605465106
9233155146
10102132294
1152718560
122a254406
131820c214
14d7c831c
158e76649
hex6166a46

102132294 has 64 divisors (see below), whose sum is σ = 237572352. Its totient is φ = 28928000.

The previous prime is 102132263. The next prime is 102132299. The reversal of 102132294 is 492231201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254494 + ... + 254894.

It is an arithmetic number, because the mean of its divisors is an integer number (3712068).

Almost surely, 2102132294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102132294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118786176).

102132294 is an abundant number, since it is smaller than the sum of its proper divisors (135440058).

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

102132294 is a wasteful number, since it uses less digits than its factorization.

102132294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102132294 is about 10106.0523450059. The cubic root of 102132294 is about 467.4347859123.

Adding to 102132294 its reverse (492231201), we get a palindrome (594363495).

The spelling of 102132294 in words is "one hundred two million, one hundred thirty-two thousand, two hundred ninety-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 227 374 401 454 561 681 802 1122 1203 1362 2406 2497 3859 4411 4994 6817 7491 7718 8822 11577 13233 13634 14982 20451 23154 26466 40902 42449 74987 84898 91027 127347 149974 182054 224961 254694 273081 449922 546162 1001297 1547459 2002594 3003891 3094918 4642377 6007782 9284754 17022049 34044098 51066147 102132294