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212003211211220 = 225111374126996927
BaseRepresentation
bin110000001101000011011000…
…000110000111000111010100
31000210122022100022011121000202
4300031003120012013013110
5210241430034032224340
62030520533011000032
762440504131223052
oct6015033006070724
91023568308147022
10212003211211220
11616070698a8720
121b93b786599018
13913aa81044240
143a4d01dca91d2
151979a53d74c15
hexc0d0d81871d4

212003211211220 has 48 divisors (see below), whose sum is σ = 523040090323968. Its totient is φ = 71161917048960.

The previous prime is 212003211211199. The next prime is 212003211211237. The reversal of 212003211211220 is 22112112300212.

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 = 212003211211192 and 212003211211201.

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 15 ways as a sum of consecutive naturals, for example, 37063495604 + ... + 37063501323.

It is an arithmetic number, because the mean of its divisors is an integer number (10896668548416).

Almost surely, 2212003211211220 is an apocalyptic number.

212003211211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212003211211220 is an abundant number, since it is smaller than the sum of its proper divisors (311036879112748).

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

212003211211220 is a wasteful number, since it uses less digits than its factorization.

212003211211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74126996960 (or 74126996958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 212003211211220 its reverse (22112112300212), we get a palindrome (234115323511432).

The spelling of 212003211211220 in words is "two hundred twelve trillion, three billion, two hundred eleven million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 74126996927 148253993854 296507987708 370634984635 741269969270 815396966197 963650960051 1482539938540 1630793932394 1927301920102 3261587864788 3854603840204 4076984830985 4818254800255 8153969661970 9636509600510 10600160560561 16307939323940 19273019201020 21200321121122 42400642242244 53000802802805 106001605605610 212003211211220