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10134311220 = 22335111706113
BaseRepresentation
bin10010111000000110…
…10101000100110100
3222011021111100111000
421130003111010310
5131223340424340
64353341243300
7506065136565
oct113403250464
928137440430
1010134311220
114330611020
121b69b63530
13c56785377
146c1d2616c
153e4a8dd30
hex25c0d5134

10134311220 has 96 divisors (see below), whose sum is σ = 34395258240. Its totient is φ = 2456801280.

The previous prime is 10134311179. The next prime is 10134311237. The reversal of 10134311220 is 2211343101.

Added to its reverse (2211343101) it gives a square (12345654321 = 1111112).

10134311220 is a `hidden beast` number, since 1 + 0 + 13 + 431 + 1 + 220 = 666.

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 = 10134311193 and 10134311202.

It is a congruent number.

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, 847117 + ... + 858996.

It is an arithmetic number, because the mean of its divisors is an integer number (358283940).

Almost surely, 210134311220 is an apocalyptic number.

10134311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134311220 is an abundant number, since it is smaller than the sum of its proper divisors (24260947020).

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

10134311220 is a wasteful number, since it uses less digits than its factorization.

10134311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706142 (or 1706134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10134311220 its reverse (2211343101), we get a palindrome (12345654321).

The spelling of 10134311220 in words is "ten billion, one hundred thirty-four million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 1706113 3412226 5118339 6824452 8530565 10236678 15355017 17061130 18767243 20473356 25591695 30710034 34122260 37534486 46065051 51183390 56301729 61420068 75068972 76775085 92130102 93836215 102366780 112603458 153550170 168905187 184260204 187672430 225206916 230325255 281508645 307100340 337810374 375344860 460650510 506715561 563017290 675620748 844525935 921301020 1013431122 1126034580 1689051870 2026862244 2533577805 3378103740 5067155610 10134311220