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102126330 = 23251959723
BaseRepresentation
bin1100001011001…
…01001011111010
321010011112222200
412011211023322
5202121020310
614044531030
72350026255
oct605451372
9233145880
10102126330
1152714029
122a250a76
13182095a7
14d7c609c
158e749c0
hex61652fa

102126330 has 48 divisors (see below), whose sum is σ = 279508320. Its totient is φ = 25799904.

The previous prime is 102126317. The next prime is 102126337. The reversal of 102126330 is 33621201.

102126330 is a `hidden beast` number, since 10 + 21 + 2 + 633 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102126337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28152 + ... + 31571.

It is an arithmetic number, because the mean of its divisors is an integer number (5823090).

Almost surely, 2102126330 is an apocalyptic number.

102126330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102126330 is an abundant number, since it is smaller than the sum of its proper divisors (177381990).

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

102126330 is a wasteful number, since it uses less digits than its factorization.

102126330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59755 (or 59752 counting only the distinct ones).

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

The square root of 102126330 is about 10105.7572699922. The cubic root of 102126330 is about 467.4256871404.

Adding to 102126330 its reverse (33621201), we get a palindrome (135747531).

The spelling of 102126330 in words is "one hundred two million, one hundred twenty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 59723 119446 179169 298615 358338 537507 597230 895845 1075014 1134737 1791690 2269474 2687535 3404211 5375070 5673685 6808422 10212633 11347370 17021055 20425266 34042110 51063165 102126330