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113202233040 = 24351373349499
BaseRepresentation
bin110100101101101100…
…0001111111011010000
3101211012020222021021210
41221123120033323100
53323314232424130
6124000540420120
711115154050561
oct1513330177320
9354166867253
10113202233040
11440107891a6
1219b33247640
13a8a0a6ac60
14569c5d0168
152e282d75b0
hex1a5b60fed0

113202233040 has 160 divisors (see below), whose sum is σ = 378444528000. Its totient is φ = 27826587648.

The previous prime is 113202233029. The next prime is 113202233041. The reversal of 113202233040 is 40332202311.

It is a junction number, because it is equal to n+sod(n) for n = 113202232998 and 113202233016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113202233041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2262211 + ... + 2311709.

It is an arithmetic number, because the mean of its divisors is an integer number (2365278300).

Almost surely, 2113202233040 is an apocalyptic number.

113202233040 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 113202233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189222264000).

113202233040 is an abundant number, since it is smaller than the sum of its proper divisors (265242294960).

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

113202233040 is a wasteful number, since it uses less digits than its factorization.

113202233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50261 (or 50255 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 113202233040 its reverse (40332202311), we get a palindrome (153534435351).

The spelling of 113202233040 in words is "one hundred thirteen billion, two hundred two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 733 780 1040 1466 1560 2199 2932 3120 3665 4398 5864 7330 8796 9529 10995 11728 14660 17592 19058 21990 28587 29320 35184 38116 43980 47645 49499 57174 58640 76232 87960 95290 98998 114348 142935 148497 152464 175920 190580 197996 228696 247495 285870 296994 381160 395992 457392 494990 571740 593988 643487 742485 762320 791984 989980 1143480 1187976 1286974 1484970 1930461 1979960 2286960 2375952 2573948 2969940 3217435 3860922 3959920 5147896 5939880 6434870 7721844 9652305 10295792 11879760 12869740 15443688 19304610 25739480 30887376 36282767 38609220 51478960 72565534 77218440 108848301 145131068 154436880 181413835 217696602 290262136 362827670 435393204 471675971 544241505 580524272 725655340 870786408 943351942 1088483010 1415027913 1451310680 1741572816 1886703884 2176966020 2358379855 2830055826 2902621360 3773407768 4353932040 4716759710 5660111652 7075139565 7546815536 8707864080 9433519420 11320223304 14150279130 18867038840 22640446608 28300558260 37734077680 56601116520 113202233040