Search a number
-
+
101004330 = 23571792687
BaseRepresentation
bin1100000010100…
…11010000101010
321001001112220010
412001103100222
5201324114310
614004512350
72334344160
oct601232052
9231045803
10101004330
1152018059
12299ab6b6
1317c0599b
14d5b3230
158d02320
hex605342a

101004330 has 64 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 22949184.

The previous prime is 101004329. The next prime is 101004347. The reversal of 101004330 is 33400101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36247 + ... + 38933.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2101004330 is an apocalyptic number.

101004330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101004330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

101004330 is an abundant number, since it is smaller than the sum of its proper divisors (177687510).

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

101004330 is a wasteful number, since it uses less digits than its factorization.

101004330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 101004330 is about 10050.0910443637. The cubic root of 101004330 is about 465.7076057517.

Adding to 101004330 its reverse (33400101), we get a palindrome (134404431).

The spelling of 101004330 in words is "one hundred one million, four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 179 210 358 537 895 1074 1253 1790 2506 2685 2687 3759 5370 5374 6265 7518 8061 12530 13435 16122 18795 18809 26870 37590 37618 40305 56427 80610 94045 112854 188090 282135 480973 564270 961946 1442919 2404865 2885838 3366811 4809730 6733622 7214595 10100433 14429190 16834055 20200866 33668110 50502165 101004330