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113133020 = 225711135651
BaseRepresentation
bin1101011111001…
…00010111011100
321212212202022212
412233210113130
5212430224040
615120455552
72542420610
oct657442734
9255782285
10113133020
1158951570
1231a7a5b8
131a591420
141104d340
159dead65
hex6be45dc

113133020 has 96 divisors (see below), whose sum is σ = 319044096. Its totient is φ = 32544000.

The previous prime is 113133017. The next prime is 113133023. The reversal of 113133020 is 20331311.

It is an interprime number because it is at equal distance from previous prime (113133017) and next prime (113133023).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 113132986 and 113133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113133023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17195 + ... + 22845.

It is an arithmetic number, because the mean of its divisors is an integer number (3323376).

Almost surely, 2113133020 is an apocalyptic number.

113133020 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 113133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159522048).

113133020 is an abundant number, since it is smaller than the sum of its proper divisors (205911076).

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

113133020 is a wasteful number, since it uses less digits than its factorization.

113133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 113133020 is about 10636.4007070061. The cubic root of 113133020 is about 483.6484424260.

Adding to 113133020 its reverse (20331311), we get a palindrome (133464331).

The spelling of 113133020 in words is "one hundred thirteen million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 5651 10010 11302 20020 22604 28255 39557 56510 62161 73463 79114 113020 124322 146926 158228 197785 248644 293852 310805 367315 395570 435127 514241 621610 734630 791140 808093 870254 1028482 1243220 1469260 1616186 1740508 2056964 2175635 2571205 3232372 4040465 4351270 5142410 5656651 8080930 8702540 10284820 11313302 16161860 22626604 28283255 56566510 113133020