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21220311120 = 2435194653577
BaseRepresentation
bin10011110000110101…
…000100000001010000
32000202212202111101220
4103300311010001100
5321424344423440
613425400525040
71350600445161
oct236065040120
960685674356
1021220311120
118aaa348908
124142780780
132002461018
1410543c1768
15842e698d0
hex4f0d44050

21220311120 has 80 divisors (see below), whose sum is σ = 69245240640. Its totient is φ = 5360919552.

The previous prime is 21220311109. The next prime is 21220311127. The reversal of 21220311120 is 2111302212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21220311120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220311127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2322229 + ... + 2331348.

It is an arithmetic number, because the mean of its divisors is an integer number (865565508).

Almost surely, 221220311120 is an apocalyptic number.

21220311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220311120 is an abundant number, since it is smaller than the sum of its proper divisors (48024929520).

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

21220311120 is a wasteful number, since it uses less digits than its factorization.

21220311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653612 (or 4653606 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21220311120 its reverse (2111302212), we get a palindrome (23331613332).

The spelling of 21220311120 in words is "twenty-one billion, two hundred twenty million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 4653577 9307154 13960731 18614308 23267885 27921462 37228616 46535770 55842924 69803655 74457232 88417963 93071540 111685848 139607310 176835926 186143080 223371696 265253889 279214620 353671852 372286160 442089815 530507778 558429240 707343704 884179630 1061015556 1116858480 1326269445 1414687408 1768359260 2122031112 2652538890 3536718520 4244062224 5305077780 7073437040 10610155560 21220311120