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113201332020 = 223257372428171
BaseRepresentation
bin110100101101101010…
…0110011111100110100
3101211012012021111022200
41221123110303330310
53323314020111040
6124000505224500
711115143305650
oct1513324637464
9354165244280
10113201332020
1144010223257
1219b32a92130
13a8a0813aca
14569c437a60
152e281aa630
hex1a5b533f34

113201332020 has 144 divisors (see below), whose sum is σ = 403037701248. Its totient is φ = 25175266560.

The previous prime is 113201332019. The next prime is 113201332037. The reversal of 113201332020 is 20233102311.

113201332020 is a `hidden beast` number, since 1 + 1 + 320 + 1 + 3 + 320 + 20 = 666.

It is a super-2 number, since 2×1132013320202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113201331984 and 113201332002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1167466 + ... + 1260705.

Almost surely, 2113201332020 is an apocalyptic number.

113201332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113201332020 is an abundant number, since it is smaller than the sum of its proper divisors (289836369228).

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

113201332020 is a wasteful number, since it uses less digits than its factorization.

113201332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428230 (or 2428225 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113201332020 its reverse (20233102311), we get a palindrome (133434434331).

The spelling of 113201332020 in words is "one hundred thirteen billion, two hundred one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 11655 15540 23310 46620 2428171 4856342 7284513 9712684 12140855 14569026 16997197 21853539 24281710 29138052 33994394 36422565 43707078 48563420 50991591 67988788 72845130 84985985 87414156 89842327 101983182 109267695 145690260 152974773 169971970 179684654 203966364 218535390 254957955 269526981 305949546 339943940 359369308 437070780 449211635 509915910 539053962 611899092 628896289 764873865 808580943 898423270 1019831820 1078107924 1257792578 1347634905 1529747730 1617161886 1796846540 1886688867 2515585156 2695269810 3059495460 3144481445 3234323772 3773377734 4042904715 5390539620 5660066601 6288962890 7546755468 8085809430 9433444335 11320133202 12577925780 16171618860 18866888670 22640266404 28300333005 37733777340 56600666010 113201332020