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220200022100212 = 227114789411701307
BaseRepresentation
bin110010000100010101010000…
…000110001100100011110100
31001212122220202010222001111221
4302010111100012030203310
5212330224121124201322
62100154254343240124
764244632552210510
oct6204252006144364
91055586663861457
10220200022100212
1164187339966820
12208442a5a49044
1395b3a0832c11b
143c53a48c77140
151a6cd942b29c7
hexc8455018c8f4

220200022100212 has 96 divisors (see below), whose sum is σ = 490713628962816. Its totient is φ = 83957409532800.

The previous prime is 220200022100111. The next prime is 220200022100213. The reversal of 220200022100212 is 212001220002022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220200022100213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128579263 + ... + 130280569.

It is an arithmetic number, because the mean of its divisors is an integer number (5111600301696).

Almost surely, 2220200022100212 is an apocalyptic number.

220200022100212 is a gapful number since it is divisible by the number (22) 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 220200022100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245356814481408).

220200022100212 is an abundant number, since it is smaller than the sum of its proper divisors (270513606862604).

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

220200022100212 is a wasteful number, since it uses less digits than its factorization.

220200022100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710317 (or 1710315 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220200022100212 its reverse (212001220002022), we get a palindrome (432201242102234).

The spelling of 220200022100212 in words is "two hundred twenty trillion, two hundred billion, twenty-two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 308 329 517 658 1034 1316 2068 3619 7238 8941 14476 17882 35764 62587 98351 125174 196702 250348 393404 420227 688457 840454 1376914 1680908 1701307 2753828 2941589 3402614 4622497 5883178 6805228 9244994 11766356 11909149 18489988 18714377 23818298 32357479 37428754 47636596 64714958 74857508 79961429 129429916 131000639 159922858 262001278 319845716 524002556 559730003 879575719 1119460006 1759151438 2238920012 3518302876 6157030033 12314060066 15211385887 24628120132 30422771774 60845543548 106479701209 167325244757 212959402418 334650489514 425918804836 669300979028 714935136689 1171276713299 1429870273378 2342553426598 2859740546756 4685106853196 5004545956823 7864286503579 10009091913646 15728573007158 20018183827292 31457146014316 55050005525053 110100011050106 220200022100212