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2111241220 = 22511175310651
BaseRepresentation
bin111110111010110…
…1111110000000100
312110010200011111021
41331311233300010
513310434204340
6545255120524
7103214153134
oct17565576004
95403604437
102111241220
11993816860
124ab073144
1327852567a
14160574ac4
15c5537e4a
hex7dd6fc04

2111241220 has 96 divisors (see below), whose sum is σ = 5218286976. Its totient is φ = 708864000.

The previous prime is 2111241211. The next prime is 2111241233. The reversal of 2111241220 is 221421112.

It is a junction number, because it is equal to n+sod(n) for n = 2111241194 and 2111241203.

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, 192895 + ... + 203545.

It is an arithmetic number, because the mean of its divisors is an integer number (54357156).

Almost surely, 22111241220 is an apocalyptic number.

2111241220 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 2111241220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609143488).

2111241220 is an abundant number, since it is smaller than the sum of its proper divisors (3107045756).

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

2111241220 is a wasteful number, since it uses less digits than its factorization.

2111241220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10741 (or 10739 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2111241220 is about 45948.2450154519. The cubic root of 2111241220 is about 1282.8600637898.

Adding to 2111241220 its reverse (221421112), we get a palindrome (2332662332).

The spelling of 2111241220 in words is "two billion, one hundred eleven million, two hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 53 55 68 85 106 110 170 187 212 220 265 340 374 530 583 748 901 935 1060 1166 1802 1870 2332 2915 3604 3740 4505 5830 9010 9911 10651 11660 18020 19822 21302 39644 42604 49555 53255 99110 106510 117161 181067 198220 213020 234322 362134 468644 564503 585805 724268 905335 1129006 1171610 1810670 1991737 2258012 2343220 2822515 3621340 3983474 5645030 6209533 7966948 9596551 9958685 11290060 12419066 19193102 19917370 24838132 31047665 38386204 39834740 47982755 62095330 95965510 105562061 124190660 191931020 211124122 422248244 527810305 1055620610 2111241220