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20420202240020 = 225111747911398637
BaseRepresentation
bin1001010010010011100101…
…11001101001100000010100
32200022011010000010000001102
410221021302321221200110
510134031033233140040
6111232524510245232
74205211435103562
oct451116271514024
980264100100042
1020420202240020
1165631828a1370
1223596a44b6818
13b5180318974b
145084b350ca32
1525629a148515
hex129272e69814

20420202240020 has 96 divisors (see below), whose sum is σ = 49636053089280. Its totient is φ = 6974141450240.

The previous prime is 20420202240007. The next prime is 20420202240133. The reversal of 20420202240020 is 2004220202402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20420202239974 and 20420202240001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3907859 + ... + 7490778.

It is an arithmetic number, because the mean of its divisors is an integer number (517042219680).

Almost surely, 220420202240020 is an apocalyptic number.

20420202240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20420202240020 is an abundant number, since it is smaller than the sum of its proper divisors (29215850849260).

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

20420202240020 is a wasteful number, since it uses less digits than its factorization.

20420202240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11399153 (or 11399151 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20420202240020 its reverse (2004220202402), we get a palindrome (22424422442422).

The spelling of 20420202240020 in words is "twenty trillion, four hundred twenty billion, two hundred two million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 479 748 935 958 1870 1916 2395 3740 4790 5269 8143 9580 10538 16286 21076 26345 32572 40715 52690 81430 89573 105380 162860 179146 358292 447865 895730 1791460 11398637 22797274 45594548 56993185 113986370 125385007 193776829 227972740 250770014 387553658 501540028 626925035 775107316 968884145 1253850070 1937768290 2131545119 2507700140 3875536580 4263090238 5459947123 8526180476 10657725595 10919894246 21315451190 21839788492 27299735615 42630902380 54599471230 60059418353 92819101091 109198942460 120118836706 185638202182 240237673412 300297091765 371276404364 464095505455 600594183530 928191010910 1021010112001 1201188367060 1856382021820 2042020224002 4084040448004 5105050560005 10210101120010 20420202240020