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113151303200 = 25521319156963
BaseRepresentation
bin110100101100001010…
…1111101111000100000
3101211001201010202200102
41221120111331320200
53323213213200300
6123551521041532
711113665131225
oct1513025757040
9354051122612
10113151303200
1143a94a62921
1219b1a1862a8
13a893348560
14569593394c
152e23ac70d5
hex1a5857de20

113151303200 has 144 divisors (see below), whose sum is σ = 299041860096. Its totient is φ = 41559475200.

The previous prime is 113151303191. The next prime is 113151303253. The reversal of 113151303200 is 2303151311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1957919 + ... + 2014881.

It is an arithmetic number, because the mean of its divisors is an integer number (2076679584).

Almost surely, 2113151303200 is an apocalyptic number.

113151303200 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 113151303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149520930048).

113151303200 is an abundant number, since it is smaller than the sum of its proper divisors (185890556896).

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

113151303200 is a wasteful number, since it uses less digits than its factorization.

113151303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57187 (or 57174 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 113151303200 its reverse (2303151311), we get a palindrome (115454454511).

The spelling of 113151303200 in words is "one hundred thirteen billion, one hundred fifty-one million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 191 200 208 260 325 382 400 416 520 650 764 800 955 1040 1300 1528 1910 2080 2483 2600 3056 3820 4775 4966 5200 6112 7640 9550 9932 10400 12415 15280 19100 19864 24830 30560 38200 39728 49660 56963 62075 76400 79456 99320 113926 124150 152800 198640 227852 248300 284815 397280 455704 496600 569630 740519 911408 993200 1139260 1424075 1481038 1822816 1986400 2278520 2848150 2962076 3702595 4557040 5696300 5924152 7405190 9114080 10879933 11392600 11848304 14810380 18512975 21759866 22785200 23696608 29620760 37025950 43519732 45570400 54399665 59241520 74051900 87039464 108799330 118483040 141439129 148103800 174078928 217598660 271998325 282878258 296207600 348157856 435197320 543996650 565756516 592415200 707195645 870394640 1087993300 1131513032 1414391290 1740789280 2175986600 2263026064 2828782580 3535978225 4351973200 4526052128 5657565160 7071956450 8703946400 11315130320 14143912900 22630260640 28287825800 56575651600 113151303200