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42315231100 = 225229731371459
BaseRepresentation
bin100111011010001011…
…110010111101111100
311001020000120110111111
4213122023302331330
51143130144343400
631234522131404
73025416346462
oct473213627574
9131200513444
1042315231100
1116a4493247a
12824b350b64
133cb492b2ac
142095c82832
151179db63ba
hex9da2f2f7c

42315231100 has 144 divisors (see below), whose sum is σ = 97060975200. Its totient is φ = 15989944320.

The previous prime is 42315231083. The next prime is 42315231107. The reversal of 42315231100 is 113251324.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42315231107) 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, 29002171 + ... + 29003629.

It is an arithmetic number, because the mean of its divisors is an integer number (674034550).

Almost surely, 242315231100 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 42315231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48530487600).

42315231100 is an abundant number, since it is smaller than the sum of its proper divisors (54745744100).

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

42315231100 is a wasteful number, since it uses less digits than its factorization.

42315231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 42315231100 its reverse (113251324), we get a palindrome (42428482424).

The spelling of 42315231100 in words is "forty-two billion, three hundred fifteen million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 73 100 116 137 145 146 274 290 292 365 548 580 685 725 730 1370 1450 1459 1460 1825 2117 2740 2900 2918 3425 3650 3973 4234 5836 6850 7295 7300 7946 8468 10001 10585 13700 14590 15892 19865 20002 21170 29180 36475 39730 40004 42311 42340 50005 52925 72950 79460 84622 99325 100010 105850 106507 145900 169244 198650 199883 200020 211555 211700 213014 250025 290029 397300 399766 423110 426028 500050 532535 580058 799532 846220 999415 1000100 1057775 1065070 1160116 1450145 1998830 2115550 2130140 2662675 2900290 3088703 3997660 4231100 4997075 5325350 5796607 5800580 6177406 7250725 9994150 10650700 11593214 12354812 14501450 14591459 15443515 19988300 23186428 28983035 29002900 29182918 30887030 57966070 58365836 61774060 72957295 77217575 115932140 144915175 145914590 154435150 289830350 291829180 308870300 364786475 423152311 579660700 729572950 846304622 1459145900 1692609244 2115761555 4231523110 8463046220 10578807775 21157615550 42315231100