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220302312032012 = 22741596977466183
BaseRepresentation
bin110010000101110100100001…
…000011010100011100001100
31001220000200202220111222122112
4302011310201003110130030
5212333413113340011022
62100313252431403152
764255213443245150
oct6205644103243414
91056020686458575
10220302312032012
116421675a966541
12208600926834b8
1395c055a39a0a2
143c589900a5060
151a7087e5808e2
hexc85d210d470c

220302312032012 has 96 divisors (see below), whose sum is σ = 459067869066240. Its totient is φ = 90538063994880.

The previous prime is 220302312031999. The next prime is 220302312032039. The reversal of 220302312032012 is 210230213203022.

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, 472333073 + ... + 472799255.

It is an arithmetic number, because the mean of its divisors is an integer number (4781956969440).

Almost surely, 2220302312032012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220302312032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229533934533120).

220302312032012 is an abundant number, since it is smaller than the sum of its proper divisors (238765557034228).

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

220302312032012 is a wasteful number, since it uses less digits than its factorization.

220302312032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473271 (or 473269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 220302312032012 its reverse (210230213203022), we get a palindrome (430532525235034).

The spelling of 220302312032012 in words is "two hundred twenty trillion, three hundred two billion, three hundred twelve million, thirty-two thousand, twelve".

Divisors: 1 2 4 7 14 28 41 59 82 118 164 236 287 413 574 826 1148 1652 2419 4838 6977 9676 13954 16933 27908 33866 48839 67732 97678 195356 286057 411643 466183 572114 823286 932366 1144228 1646572 1864732 2002399 2881501 3263281 4004798 5763002 6526562 8009596 11526004 13053124 16877363 19113503 27504797 33754726 38227006 55009594 67509452 76454012 110019188 118141541 133794521 192533579 236283082 267589042 385067158 472566164 535178084 770134316 1127696677 2255393354 3252558791 4510786708 6505117582 7893876739 13010235164 15787753478 22767911537 31575506956 45535823074 91071646148 133354910431 191900968669 266709820862 383801937338 533419641724 767603874676 933484373017 1343306780683 1866968746034 2686613561366 3733937492068 5373227122732 7867939715429 15735879430858 31471758861716 55075578008003 110151156016006 220302312032012