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20302122120 = 2335763138303
BaseRepresentation
bin10010111010000110…
…011100110010001000
31221101220000122212220
4102322012130302020
5313034320401440
613154320534040
71316051122260
oct227206346210
957356018786
1020302122120
118679022925
123b27181320
131bb7169617
14da848c7a0
157dc5488d0
hex4ba19cc88

20302122120 has 128 divisors (see below), whose sum is σ = 69719408640. Its totient is φ = 4633009920.

The previous prime is 20302122091. The next prime is 20302122131. The reversal of 20302122120 is 2122120302.

It is a happy number.

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 20302122120.

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, 510889 + ... + 549191.

It is an arithmetic number, because the mean of its divisors is an integer number (544682880).

Almost surely, 220302122120 is an apocalyptic number.

20302122120 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 20302122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34859704320).

20302122120 is an abundant number, since it is smaller than the sum of its proper divisors (49417286520).

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

20302122120 is a wasteful number, since it uses less digits than its factorization.

20302122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38955 (or 38951 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20302122120 its reverse (2122120302), we get a palindrome (22424242422).

The spelling of 20302122120 in words is "twenty billion, three hundred two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 631 840 1262 1893 2524 3155 3786 4417 5048 6310 7572 8834 9465 12620 13251 15144 17668 18930 22085 25240 26502 35336 37860 38303 44170 53004 66255 75720 76606 88340 106008 114909 132510 153212 176680 191515 229818 265020 268121 306424 383030 459636 530040 536242 574545 766060 804363 919272 1072484 1149090 1340605 1532120 1608726 2144968 2298180 2681210 3217452 4021815 4596360 5362420 6434904 8043630 10724840 16087260 24169193 32174520 48338386 72507579 96676772 120845965 145015158 169184351 193353544 241691930 290030316 338368702 362537895 483383860 507553053 580060632 676737404 725075790 845921755 966767720 1015106106 1353474808 1450151580 1691843510 2030212212 2537765265 2900303160 3383687020 4060424424 5075530530 6767374040 10151061060 20302122120