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220200202002012 = 223109863421946237
BaseRepresentation
bin110010000100010101011010…
…110100011101111001011100
31001212122221012200111000101120
4302010111122310131321130
5212330230003203031022
62100154324251210540
764244640165306531
oct6204253264357134
91055587180430346
10220200202002012
11641874214716a1
1220844336146a50
1395b3a3669a3ab
143c53a64b06d88
151a6cda4e9bd5c
hexc8455ad1de5c

220200202002012 has 96 divisors (see below), whose sum is σ = 519249336883200. Its totient is φ = 72623611660032.

The previous prime is 220200202001993. The next prime is 220200202002091. The reversal of 220200202002012 is 210200202002022.

220200202002012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2202002020020122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220200202001982 and 220200202002000.

It is a congruent number.

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, 4762400958 + ... + 4762447194.

It is an arithmetic number, because the mean of its divisors is an integer number (5408847259200).

Almost surely, 2220200202002012 is an apocalyptic number.

It is an amenable number.

220200202002012 is an abundant number, since it is smaller than the sum of its proper divisors (299049134881188).

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

220200202002012 is a wasteful number, since it uses less digits than its factorization.

220200202002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51435 (or 51433 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 220200202002012 its reverse (210200202002022), we get a palindrome (430400404004034).

The spelling of 220200202002012 in words is "two hundred twenty trillion, two hundred billion, two hundred two million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 109 218 327 436 654 863 1308 1726 2589 3452 4219 5178 8438 10356 12657 16876 25314 46237 50628 92474 94067 138711 184948 188134 277422 282201 376268 459871 554844 564402 919742 1128804 1379613 1839484 2759226 3640997 5039833 5518452 7281994 10079666 10922991 14563988 15119499 20159332 21845982 30238998 39902531 43691964 60477996 79805062 119707593 159610124 195073903 239415186 390147806 396868673 478830372 585221709 780295612 793737346 1170443418 1190606019 1587474692 2340886836 2381212038 4349375879 4762424076 8698751758 13048127637 17397503516 21263055427 26096255274 42526110854 52192510548 63789166281 85052221708 127578332562 168348778289 255156665124 336697556578 505046334867 673395113156 1010092669734 2020185339468 18350016833501 36700033667002 55050050500503 73400067334004 110100101001006 220200202002012