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1113102120 = 2335133123017
BaseRepresentation
bin100001001011000…
…1001011100101000
32212120111110001110
41002112021130220
54234423231440
6302241350320
736404132454
oct10226113450
92776443043
101113102120
11521354109
122709383a0
131497ba510
14a7b8d664
1567ac3080
hex42589728

1113102120 has 128 divisors (see below), whose sum is σ = 3712343040. Its totient is φ = 265144320.

The previous prime is 1113102097. The next prime is 1113102143. The reversal of 1113102120 is 212013111.

It is an interprime number because it is at equal distance from previous prime (1113102097) and next prime (1113102143).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1113102096 and 1113102105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36852 + ... + 59868.

It is an arithmetic number, because the mean of its divisors is an integer number (29002680).

Almost surely, 21113102120 is an apocalyptic number.

1113102120 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 1113102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856171520).

1113102120 is an abundant number, since it is smaller than the sum of its proper divisors (2599240920).

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

1113102120 is a wasteful number, since it uses less digits than its factorization.

1113102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23075 (or 23071 counting only the distinct ones).

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

The square root of 1113102120 is about 33363.1850997473. The cubic root of 1113102120 is about 1036.3624522497.

Adding to 1113102120 its reverse (212013111), we get a palindrome (1325115231).

The spelling of 1113102120 in words is "one billion, one hundred thirteen million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 23017 24180 46034 48360 69051 92068 115085 138102 184136 230170 276204 299221 345255 460340 552408 598442 690510 713527 897663 920680 1196884 1381020 1427054 1496105 1795326 2140581 2393768 2762040 2854108 2992210 3567635 3590652 4281162 4488315 5708216 5984420 7135270 7181304 8562324 8976630 9275851 10702905 11968840 14270540 17124648 17953260 18551702 21405810 27827553 28541080 35906520 37103404 42811620 46379255 55655106 74206808 85623240 92758510 111310212 139137765 185517020 222620424 278275530 371034040 556551060 1113102120