Search a number
-
+
20301313120 = 2551129397753
BaseRepresentation
bin10010111010000011…
…010111010001100000
31221101211111120010221
4102322003113101200
5313034114004440
613154251332424
71316041212544
oct227203272140
957354446127
1020301313120
118678620030
123b26a51114
131bb6c4531a
14da831ba24
157dc438d4a
hex4ba0d7460

20301313120 has 96 divisors (see below), whose sum is σ = 54126364320. Its totient is φ = 7127715840.

The previous prime is 20301313099. The next prime is 20301313121. The reversal of 20301313120 is 2131310302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20301313094 and 20301313103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301313121) 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, 147837 + ... + 249916.

It is an arithmetic number, because the mean of its divisors is an integer number (563816295).

Almost surely, 220301313120 is an apocalyptic number.

20301313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20301313120 is an abundant number, since it is smaller than the sum of its proper divisors (33825051200).

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

20301313120 is a wasteful number, since it uses less digits than its factorization.

20301313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397808 (or 397800 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 20301313120 its reverse (2131310302), we get a palindrome (22432623422).

The spelling of 20301313120 in words is "twenty billion, three hundred one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 220 232 290 319 352 440 464 580 638 880 928 1160 1276 1595 1760 2320 2552 3190 4640 5104 6380 10208 12760 25520 51040 397753 795506 1591012 1988765 3182024 3977530 4375283 6364048 7955060 8750566 11534837 12728096 15910120 17501132 21876415 23069674 31820240 35002264 43752830 46139348 57674185 63640480 70004528 87505660 92278696 115348370 126883207 140009056 175011320 184557392 230696740 253766414 350022640 369114784 461393480 507532828 634416035 700045280 922786960 1015065656 1268832070 1845573920 2030131312 2537664140 4060262624 5075328280 10150656560 20301313120