Search a number
-
+
101328156 = 223223532309
BaseRepresentation
bin1100000101000…
…10010100011100
321001200000002200
412002202110130
5201420000111
614015451500
72340163236
oct602422434
9231600080
10101328156
1152219386
1229b26b90
1317cba1b7
14d659256
158d68256
hex60a251c

101328156 has 72 divisors (see below), whose sum is σ = 272432160. Its totient is φ = 31684224.

The previous prime is 101328131. The next prime is 101328169. The reversal of 101328156 is 651823101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42730 + ... + 45038.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2101328156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101328156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136216080).

101328156 is an abundant number, since it is smaller than the sum of its proper divisors (171104004).

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

101328156 is a wasteful number, since it uses less digits than its factorization.

101328156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 101328156 is about 10066.1887524524. The cubic root of 101328156 is about 466.2047704139.

The spelling of 101328156 in words is "one hundred one million, three hundred twenty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 92 106 138 159 207 212 276 318 414 477 636 828 954 1219 1908 2309 2438 3657 4618 4876 6927 7314 9236 10971 13854 14628 20781 21942 27708 41562 43884 53107 83124 106214 122377 159321 212428 244754 318642 367131 477963 489508 637284 734262 955926 1101393 1468524 1911852 2202786 2814671 4405572 5629342 8444013 11258684 16888026 25332039 33776052 50664078 101328156