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100244100 = 223521137821
BaseRepresentation
bin1011111100110…
…01101010000100
320222121221001110
411332121222010
5201130302400
613540325020
72325026565
oct576315204
9228557043
10100244100
1151648970
12296a3770
13179ca948
14d45616c
158c01e50
hex5f99a84

100244100 has 144 divisors (see below), whose sum is σ = 325354176. Its totient is φ = 23616000.

The previous prime is 100244099. The next prime is 100244107. The reversal of 100244100 is 1442001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100244107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121690 + ... + 122510.

It is an arithmetic number, because the mean of its divisors is an integer number (2259404).

Almost surely, 2100244100 is an apocalyptic number.

100244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162677088).

100244100 is an abundant number, since it is smaller than the sum of its proper divisors (225110076).

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

100244100 is a wasteful number, since it uses less digits than its factorization.

100244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100244100 is about 10012.1975609753. The cubic root of 100244100 is about 464.5362470908.

Adding to 100244100 its reverse (1442001), we get a palindrome (101686101).

The spelling of 100244100 in words is "one hundred million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 821 825 925 1100 1110 1221 1628 1642 1650 1850 2035 2220 2442 2463 2775 3284 3300 3700 4070 4105 4884 4926 5550 6105 8140 8210 9031 9852 10175 11100 12210 12315 16420 18062 20350 20525 24420 24630 27093 30377 30525 36124 40700 41050 45155 49260 54186 60754 61050 61575 82100 90310 91131 108372 121508 122100 123150 135465 151885 180620 182262 225775 246300 270930 303770 334147 364524 451550 455655 541860 607540 668294 677325 759425 903100 911310 1002441 1336588 1354650 1518850 1670735 1822620 2004882 2278275 2709300 3037700 3341470 4009764 4556550 5012205 6682940 8353675 9113100 10024410 16707350 20048820 25061025 33414700 50122050 100244100