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113021120 = 2651929641
BaseRepresentation
bin1101011110010…
…01000011000000
321212200001211102
412233021003000
5212413133440
615114233532
72541443432
oct657110300
9255601742
10113021120
1158885493
1231a258a8
131a552504
1411020652
159dc7b15
hex6bc90c0

113021120 has 112 divisors (see below), whose sum is σ = 293522400. Its totient is φ = 41287680.

The previous prime is 113021107. The next prime is 113021141. The reversal of 113021120 is 21120311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176000 + ... + 176640.

Almost surely, 2113021120 is an apocalyptic number.

113021120 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 113021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146761200).

113021120 is an abundant number, since it is smaller than the sum of its proper divisors (180501280).

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

113021120 is a wasteful number, since it uses less digits than its factorization.

113021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 113021120 is about 10631.1391675587. The cubic root of 113021120 is about 483.4889307467.

Adding to 113021120 its reverse (21120311), we get a palindrome (134141431).

The spelling of 113021120 in words is "one hundred thirteen million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 145 152 160 190 232 290 304 320 380 464 551 580 608 641 760 928 1102 1160 1216 1282 1520 1856 2204 2320 2564 2755 3040 3205 4408 4640 5128 5510 6080 6410 8816 9280 10256 11020 12179 12820 17632 18589 20512 22040 24358 25640 35264 37178 41024 44080 48716 51280 60895 74356 88160 92945 97432 102560 121790 148712 176320 185890 194864 205120 243580 297424 353191 371780 389728 487160 594848 706382 743560 779456 974320 1189696 1412764 1487120 1765955 1948640 2825528 2974240 3531910 3897280 5651056 5948480 7063820 11302112 14127640 22604224 28255280 56510560 113021120