Search a number
-
+
20113312120 = 23511231134053
BaseRepresentation
bin10010101110110110…
…001100100101111000
31220220201202010020221
4102232312030211320
5312143001441440
613123454025424
71311266221636
oct225666144570
956821663227
1020113312120
118591493100
123a93aa8274
131b86ccc725
14d8b380356
157cab9ed4a
hex4aed8c978

20113312120 has 96 divisors (see below), whose sum is σ = 51348044160. Its totient is φ = 7077945600.

The previous prime is 20113312111. The next prime is 20113312217. The reversal of 20113312120 is 2121331102.

It is a junction number, because it is equal to n+sod(n) for n = 20113312094 and 20113312103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83014 + ... + 217066.

It is an arithmetic number, because the mean of its divisors is an integer number (534875460).

Almost surely, 220113312120 is an apocalyptic number.

20113312120 is a gapful number since it is divisible by the number (20) 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 20113312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25674022080).

20113312120 is an abundant number, since it is smaller than the sum of its proper divisors (31234732040).

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

20113312120 is a wasteful number, since it uses less digits than its factorization.

20113312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134117 (or 134102 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20113312120 its reverse (2121331102), we get a palindrome (22234643222).

It can be divided in two parts, 20113 and 312120, that added together give a palindrome (332233).

The spelling of 20113312120 in words is "twenty billion, one hundred thirteen million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2420 2728 3410 3751 4840 6820 7502 13640 15004 18755 30008 37510 75020 134053 150040 268106 536212 670265 1072424 1340530 1474583 2681060 2949166 4155643 5362120 5898332 7372915 8311286 11796664 14745830 16220413 16622572 20778215 29491660 32440826 33245144 41556430 45712073 58983320 64881652 81102065 83112860 91424146 129763304 162204130 166225720 182848292 228560365 324408260 365696584 457120730 502832803 648816520 914241460 1005665606 1828482920 2011331212 2514164015 4022662424 5028328030 10056656060 20113312120