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20213302120 = 23511313317463
BaseRepresentation
bin10010110100110011…
…101000001101101000
31221011200220010202021
4102310303220031220
5312344101131440
613141425114224
71313622142654
oct226463501550
957150803667
1020213302120
118632978070
123b01488974
131ba193b7cb
14d9a76ba64
157d485184a
hex4b4ce8368

20213302120 has 128 divisors (see below), whose sum is σ = 50037834240. Its totient is φ = 7287920640.

The previous prime is 20213302097. The next prime is 20213302121. The reversal of 20213302120 is 2120331202.

It is a junction number, because it is equal to n+sod(n) for n = 20213302094 and 20213302103.

It is not an unprimeable number, because it can be changed into a prime (20213302121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43657009 + ... + 43657471.

It is an arithmetic number, because the mean of its divisors is an integer number (390920580).

Almost surely, 220213302120 is an apocalyptic number.

20213302120 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 20213302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25018917120).

20213302120 is an abundant number, since it is smaller than the sum of its proper divisors (29824532120).

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

20213302120 is a wasteful number, since it uses less digits than its factorization.

20213302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20213302120 its reverse (2120331202), we get a palindrome (22333633322).

The spelling of 20213302120 in words is "twenty billion, two hundred thirteen million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 313 317 440 463 626 634 926 1252 1268 1565 1585 1852 2315 2504 2536 3130 3170 3443 3487 3704 4630 5093 6260 6340 6886 6974 9260 10186 12520 12680 13772 13948 17215 17435 18520 20372 25465 27544 27896 34430 34870 40744 50930 68860 69740 99221 101860 137720 139480 144919 146771 198442 203720 289838 293542 396884 496105 579676 587084 724595 733855 793768 992210 1091431 1159352 1174168 1449190 1467710 1594109 1614481 1984420 2182862 2898380 2935420 3188218 3228962 3968840 4365724 5457155 5796760 5870840 6376436 6457924 7970545 8072405 8731448 10914310 12752872 12915848 15941090 16144810 21828620 31882180 32289620 43657240 45939323 63764360 64579240 91878646 183757292 229696615 367514584 459393230 505332553 918786460 1010665106 1837572920 2021330212 2526662765 4042660424 5053325530 10106651060 20213302120