Search a number
-
+
113313203100 = 223352139301927
BaseRepresentation
bin110100110000111111…
…1100100001110011100
3101211110222210010121000
41221201333210032130
53324031134444400
6124015543110300
711121002222466
oct1514177441634
9354428703530
10113313203100
1144068392699
1219b64442390
13a8baa52a06
1456ad239136
152e32e07600
hex1a61fe439c

113313203100 has 144 divisors (see below), whose sum is σ = 366902905600. Its totient is φ = 29999367360.

The previous prime is 113313203089. The next prime is 113313203137. The reversal of 113313203100 is 1302313311.

It is a happy number.

113313203100 is a `hidden beast` number, since 1 + 1 + 3 + 31 + 320 + 310 + 0 = 666.

It is a super-2 number, since 2×1133132031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224337 + ... + 526263.

Almost surely, 2113313203100 is an apocalyptic number.

113313203100 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 113313203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183451452800).

113313203100 is an abundant number, since it is smaller than the sum of its proper divisors (253589702500).

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

113313203100 is a wasteful number, since it uses less digits than its factorization.

113313203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302089 (or 302076 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113313203100 its reverse (1302313311), we get a palindrome (114615516411).

The spelling of 113313203100 in words is "one hundred thirteen billion, three hundred thirteen million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 139 150 180 225 270 278 300 417 450 540 556 675 695 834 900 1251 1350 1390 1668 2085 2502 2700 2780 3475 3753 4170 5004 6255 6950 7506 8340 10425 12510 13900 15012 18765 20850 25020 31275 37530 41700 62550 75060 93825 125100 187650 301927 375300 603854 905781 1207708 1509635 1811562 2717343 3019270 3623124 4528905 5434686 6038540 7548175 8152029 9057810 10869372 13586715 15096350 16304058 18115620 22644525 27173430 30192700 32608116 40760145 41967853 45289050 54346860 67933575 81520290 83935706 90578100 125903559 135867150 163040580 167871412 203800725 209839265 251807118 271734300 377710677 407601450 419678530 503614236 629517795 755421354 815202900 839357060 1049196325 1133132031 1259035590 1510842708 1888553385 2098392650 2266264062 2518071180 3147588975 3777106770 4196785300 4532528124 5665660155 6295177950 7554213540 9442766925 11331320310 12590355900 18885533850 22662640620 28328300775 37771067700 56656601550 113313203100