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20001020222112 = 25319109100600657
BaseRepresentation
bin1001000110000110110011…
…01101001001101010100000
32121211002010111012011021220
410203003121231021222200
510110144042134101422
6110312201501015040
74133011632535236
oct443033155115240
977732114164256
1020001020222112
116411426543006
1222b03b9254480
13b2111b781467
144d20a9950956
1524a41470de5c
hex1230d9b49aa0

20001020222112 has 96 divisors (see below), whose sum is σ = 55773004795200. Its totient is φ = 6258165608448.

The previous prime is 20001020222039. The next prime is 20001020222147. The reversal of 20001020222112 is 21122202010002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20001020222091 and 20001020222100.

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 15 ways as a sum of consecutive naturals, for example, 50101513 + ... + 50499144.

It is an arithmetic number, because the mean of its divisors is an integer number (580968799950).

Almost surely, 220001020222112 is an apocalyptic number.

It is an amenable number.

20001020222112 is an abundant number, since it is smaller than the sum of its proper divisors (35771984573088).

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

20001020222112 is a wasteful number, since it uses less digits than its factorization.

20001020222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100600798 (or 100600790 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20001020222112 its reverse (21122202010002), we get a palindrome (41123222232114).

The spelling of 20001020222112 in words is "twenty trillion, one billion, twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 109 114 152 218 228 304 327 436 456 608 654 872 912 1308 1744 1824 2071 2616 3488 4142 5232 6213 8284 10464 12426 16568 24852 33136 49704 66272 99408 198816 100600657 201201314 301801971 402402628 603603942 804805256 1207207884 1609610512 1911412483 2414415768 3219221024 3822824966 4828831536 5734237449 7645649932 9657663072 10965471613 11468474898 15291299864 21930943226 22936949796 30582599728 32896414839 43861886452 45873899592 61165199456 65792829678 87723772904 91747799184 131585659356 175447545808 183495598368 208343960647 263171318712 350895091616 416687921294 526342637424 625031881941 833375842588 1052685274848 1250063763882 1666751685176 2500127527764 3333503370352 5000255055528 6667006740704 10000510111056 20001020222112