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1014113220 = 2235194212113
BaseRepresentation
bin111100011100100…
…010001111000100
32121200020021210220
4330130202033010
54034103110340
6244343544340
734062551211
oct7434421704
92550207726
101014113220
114804932aa
1224375b0b0
1313213bcc3
1498982b08
155e06ced0
hex3c7223c4

1014113220 has 96 divisors (see below), whose sum is σ = 2997482880. Its totient is φ = 255467520.

The previous prime is 1014113203. The next prime is 1014113231. The reversal of 1014113220 is 223114101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1014113220.

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, 478884 + ... + 480996.

It is an arithmetic number, because the mean of its divisors is an integer number (31223780).

Almost surely, 21014113220 is an apocalyptic number.

1014113220 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 1014113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498741440).

1014113220 is an abundant number, since it is smaller than the sum of its proper divisors (1983369660).

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

1014113220 is a wasteful number, since it uses less digits than its factorization.

1014113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1014113220 is about 31845.1443708456. The cubic root of 1014113220 is about 1004.6824471341.

Adding to 1014113220 its reverse (223114101), we get a palindrome (1237227321).

The spelling of 1014113220 in words is "one billion, fourteen million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 421 570 842 1140 1263 1684 2105 2113 2526 4210 4226 5052 6315 6339 7999 8420 8452 10565 12630 12678 15998 21130 23997 25260 25356 31695 31996 39995 40147 42260 47994 63390 79990 80294 95988 119985 120441 126780 159980 160588 200735 239970 240882 401470 479940 481764 602205 802940 889573 1204410 1779146 2408820 2668719 3558292 4447865 5337438 8895730 10674876 13343595 16901887 17791460 26687190 33803774 50705661 53374380 67607548 84509435 101411322 169018870 202822644 253528305 338037740 507056610 1014113220