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30311771160 = 233511103122273
BaseRepresentation
bin11100001110101110…
…001110110000011000
32220020110221112000010
4130032232032300120
5444034303134120
621531450241520
72122103542446
oct341656166030
986213845003
1030311771160
1111945228350
125a5b4262a0
132b20b54988
141677a03b96
15bc61b07e0
hex70eb8ec18

30311771160 has 128 divisors (see below), whose sum is σ = 99302837760. Its totient is φ = 7340851200.

The previous prime is 30311771153. The next prime is 30311771197. The reversal of 30311771160 is 6117711303.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349784 + ... + 1372056.

It is an arithmetic number, because the mean of its divisors is an integer number (775803420).

Almost surely, 230311771160 is an apocalyptic number.

30311771160 is a gapful number since it is divisible by the number (30) 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 30311771160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49651418880).

30311771160 is an abundant number, since it is smaller than the sum of its proper divisors (68991066600).

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

30311771160 is a wasteful number, since it uses less digits than its factorization.

30311771160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23329 (or 23325 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The spelling of 30311771160 in words is "thirty billion, three hundred eleven million, seven hundred seventy-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1031 1320 2062 3093 4124 5155 6186 8248 10310 11341 12372 15465 20620 22273 22682 24744 30930 34023 41240 44546 45364 56705 61860 66819 68046 89092 90728 111365 113410 123720 133638 136092 170115 178184 222730 226820 245003 267276 272184 334095 340230 445460 453640 490006 534552 668190 680460 735009 890920 980012 1225015 1336380 1360920 1470018 1960024 2450030 2672760 2940036 3675045 4900060 5880072 7350090 9800120 14700180 22963463 29400360 45926926 68890389 91853852 114817315 137780778 183707704 229634630 252598093 275561556 344451945 459269260 505196186 551123112 688903890 757794279 918538520 1010392372 1262990465 1377807780 1515588558 2020784744 2525980930 2755615560 3031177116 3788971395 5051961860 6062354232 7577942790 10103923720 15155885580 30311771160