Search a number
-
+
113003233100 = 2252131139229271
BaseRepresentation
bin110100100111110000…
…1000111111101001100
3101210200101112000200122
41221033201013331030
53322412311424400
6123525111244112
711110216430042
oct1511741077514
9353611460618
10113003233100
1143a1941963a
1219a98679638
13a86b773c04
14567ddcc392
152e15ac9685
hex1a4f847f4c

113003233100 has 144 divisors (see below), whose sum is σ = 250875609600. Its totient is φ = 44175456000.

The previous prime is 113003233093. The next prime is 113003233103. The reversal of 113003233100 is 1332300311.

It is a super-2 number, since 2×1130032331002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113003233103) 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, 416985965 + ... + 416986235.

Almost surely, 2113003233100 is an apocalyptic number.

113003233100 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 113003233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125437804800).

113003233100 is an abundant number, since it is smaller than the sum of its proper divisors (137872376500).

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

113003233100 is a wasteful number, since it uses less digits than its factorization.

113003233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 113003233100 its reverse (1332300311), we get a palindrome (114335533411).

The spelling of 113003233100 in words is "one hundred thirteen billion, three million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131 139 229 262 271 278 458 524 542 556 655 695 916 1084 1145 1310 1355 1390 2290 2620 2710 2780 3275 3475 4580 5420 5725 6550 6775 6950 11450 13100 13550 13900 18209 22900 27100 29999 31831 35501 36418 37669 59998 62059 63662 71002 72836 75338 91045 119996 124118 127324 142004 149995 150676 159155 177505 182090 188345 248236 299990 310295 318310 355010 364180 376690 455225 599980 620590 636620 710020 749975 753380 795775 887525 910450 941725 1241180 1499950 1551475 1591550 1775050 1820900 1883450 2999900 3102950 3183100 3550100 3766900 4169861 4934639 6205900 8129729 8339722 8626201 9869278 16259458 16679444 17252402 19738556 20849305 24673195 32518916 34504804 40648645 41698610 43131005 49346390 81297290 83397220 86262010 98692780 104246525 123365975 162594580 172524020 203243225 208493050 215655025 246731950 406486450 416986100 431310050 493463900 812972900 862620100 1130032331 2260064662 4520129324 5650161655 11300323310 22600646620 28250808275 56501616550 113003233100