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113310200980 = 225172471732411
BaseRepresentation
bin110100110000111010…
…0000111010010010100
3101211110210010121110101
41221201310013102110
53324024402412410
6124015354503444
711120634550114
oct1514164072224
9354423117411
10113310200980
11440667220a9
1219b63434b84
13a8ba241402
1456aca97044
152e32a12d3a
hex1a61d07494

113310200980 has 144 divisors (see below), whose sum is σ = 259749939456. Its totient is φ = 41491793920.

The previous prime is 113310200957. The next prime is 113310200981. The reversal of 113310200980 is 89002013311.

It is a super-2 number, since 2×1133102009802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113310200981) 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, 46995975 + ... + 46998385.

It is an arithmetic number, because the mean of its divisors is an integer number (1803819024).

Almost surely, 2113310200980 is an apocalyptic number.

113310200980 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 113310200980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129874969728).

113310200980 is an abundant number, since it is smaller than the sum of its proper divisors (146439738476).

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

113310200980 is a wasteful number, since it uses less digits than its factorization.

113310200980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 113310200980 in words is "one hundred thirteen billion, three hundred ten million, two hundred thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 173 188 235 289 340 346 470 578 692 799 865 940 1156 1445 1598 1730 2411 2890 2941 3196 3460 3995 4822 5780 5882 7990 8131 9644 11764 12055 13583 14705 15980 16262 24110 27166 29410 32524 40655 40987 48220 49997 54332 58820 67915 81310 81974 99994 113317 135830 138227 162620 163948 199988 204935 226634 249985 271660 276454 409870 417103 453268 499970 552908 566585 691135 696779 819740 834206 999940 1133170 1382270 1393558 1668412 1926389 2085515 2266340 2349859 2764540 2787116 3483895 3852778 4171030 4699718 6967790 7090751 7705556 8342060 9399436 9631945 11749295 13935580 14181502 19263890 19603841 23498590 28363004 32748613 35453755 38527780 39207682 46997180 65497226 70907510 78415364 98019205 120542767 130994452 141815020 163743065 196038410 241085534 327486130 333265297 392076820 482171068 602713835 654972260 666530594 1205427670 1333061188 1666326485 2410855340 3332652970 5665510049 6665305940 11331020098 22662040196 28327550245 56655100490 113310200980