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100305402100 = 22528099071367
BaseRepresentation
bin101110101101010101…
…0101111100011110100
3100120220110022101011121
41131122222233203310
53120411140331400
6114025112513324
710150442564431
oct1353252574364
9316813271147
10100305402100
11395a286a232
12175340ab844
1395c6b7c347
144bd783cb88
152920e6421a
hex175aaaf8f4

100305402100 has 72 divisors (see below), whose sum is σ = 218331650880. Its totient is φ = 39999102720.

The previous prime is 100305402089. The next prime is 100305402133. The reversal of 100305402100 is 1204503001.

It is a super-2 number, since 2×1003054021002 (a number of 23 digits) contains 22 as substring.

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, 73375617 + ... + 73376983.

It is an arithmetic number, because the mean of its divisors is an integer number (3032384040).

Almost surely, 2100305402100 is an apocalyptic number.

100305402100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100305402100 is an abundant number, since it is smaller than the sum of its proper divisors (118026248780).

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

100305402100 is a wasteful number, since it uses less digits than its factorization.

100305402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 100305402100 its reverse (1204503001), we get a palindrome (101509905101).

The spelling of 100305402100 in words is "one hundred billion, three hundred five million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 809 907 1367 1618 1814 2734 3236 3628 4045 4535 5468 6835 8090 9070 13670 16180 18140 20225 22675 27340 34175 40450 45350 68350 80900 90700 136700 733763 1105903 1239869 1467526 2211806 2479738 2935052 3668815 4423612 4959476 5529515 6199345 7337630 11059030 12398690 14675260 18344075 22118060 24797380 27647575 30996725 36688150 55295150 61993450 73376300 110590300 123986900 1003054021 2006108042 4012216084 5015270105 10030540210 20061080420 25076350525 50152701050 100305402100