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113111200410 = 235135919724953
BaseRepresentation
bin110100101010111110…
…0111111001010011010
3101210221220200022222220
41221111330333022122
53323122431403120
6123543525324510
711113000224405
oct1512574771232
9353856608886
10113111200410
1143a7436201a
1219b08866736
13a887c46cb0
145690494d3c
152e20304b40
hex1a55f3f29a

113111200410 has 128 divisors (see below), whose sum is σ = 298825148160. Its totient is φ = 27230816256.

The previous prime is 113111200373. The next prime is 113111200453. The reversal of 113111200410 is 14002111311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113111200410.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4520494 + ... + 4545446.

It is an arithmetic number, because the mean of its divisors is an integer number (2334571470).

Almost surely, 2113111200410 is an apocalyptic number.

113111200410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113111200410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149412574080).

113111200410 is an abundant number, since it is smaller than the sum of its proper divisors (185713947750).

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

113111200410 is a wasteful number, since it uses less digits than its factorization.

113111200410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25232.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 113111200410 its reverse (14002111311), we get a palindrome (127113311721).

The spelling of 113111200410 in words is "one hundred thirteen billion, one hundred eleven million, two hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 59 65 78 118 130 177 195 197 295 354 390 394 590 591 767 885 985 1182 1534 1770 1970 2301 2561 2955 3835 4602 5122 5910 7670 7683 11505 11623 12805 15366 23010 23246 24953 25610 34869 38415 49906 58115 69738 74859 76830 116230 124765 149718 151099 174345 249530 302198 324389 348690 374295 453297 648778 748590 755495 906594 973167 1472227 1510990 1621945 1946334 2266485 2944454 3243890 4416681 4532970 4865835 4915741 7361135 8833362 9731670 9831482 14722270 14747223 19138951 22083405 24578705 29494446 38277902 44166810 49157410 57416853 63904633 73736115 95694755 114833706 127809266 147472230 191389510 191713899 287084265 290028719 319523165 383427798 574168530 580057438 639046330 870086157 958569495 1450143595 1740172314 1917138990 2900287190 3770373347 4350430785 7540746694 8700861570 11311120041 18851866735 22622240082 37703733470 56555600205 113111200410