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20130111120 = 2435741292249
BaseRepresentation
bin10010101111110110…
…010001111010010000
31220221220100121011010
4102233312101322100
5312211302023440
613125254050520
71311562056420
oct225766217220
956856317133
1020130111120
11859aa17479
123a99649a40
131b8a631b72
14d8d6b4480
157cc3bc580
hex4afd91e90

20130111120 has 160 divisors (see below), whose sum is σ = 73057824000. Its totient is φ = 4488929280.

The previous prime is 20130111091. The next prime is 20130111167. The reversal of 20130111120 is 2111103102.

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 = 20130111096 and 20130111105.

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, 77245 + ... + 215004.

It is an arithmetic number, because the mean of its divisors is an integer number (456611400).

Almost surely, 220130111120 is an apocalyptic number.

20130111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130111120 is an abundant number, since it is smaller than the sum of its proper divisors (52927712880).

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

20130111120 is a wasteful number, since it uses less digits than its factorization.

20130111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292313 (or 292307 counting only the distinct ones).

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

Adding to 20130111120 its reverse (2111103102), we get a palindrome (22241214222).

The spelling of 20130111120 in words is "twenty billion, one hundred thirty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 492 560 574 615 656 820 840 861 984 1148 1230 1435 1640 1680 1722 1968 2296 2460 2870 3280 3444 4305 4592 4920 5740 6888 8610 9840 11480 13776 17220 22960 34440 68880 292249 584498 876747 1168996 1461245 1753494 2045743 2337992 2922490 3506988 4091486 4383735 4675984 5844980 6137229 7013976 8182972 8767470 10228715 11689960 11982209 12274458 14027952 16365944 17534940 20457430 23379920 23964418 24548916 30686145 32731888 35069880 35946627 40914860 47928836 49097832 59911045 61372290 70139760 71893254 81829720 83875463 95857672 98195664 119822090 122744580 143786508 163659440 167750926 179733135 191715344 239644180 245489160 251626389 287573016 335501852 359466270 419377315 479288360 490978320 503252778 575146032 671003704 718932540 838754630 958576720 1006505556 1258131945 1342007408 1437865080 1677509260 2013011112 2516263890 2875730160 3355018520 4026022224 5032527780 6710037040 10065055560 20130111120