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212022101012020 = 22513922188436137
BaseRepresentation
bin110000001101010100111110…
…000000111110111000110100
31000210201010002202122220021121
4300031110332000332320310
5210242232230324341040
62030533335240553324
762442043212664435
oct6015247600767064
91023633082586247
10212022101012020
1161614082686642
121b943378782844
13913c7a1709a70
143a4dcd295948c
15197a2ac3e2c4a
hexc0d53e03ee34

212022101012020 has 48 divisors (see below), whose sum is σ = 479548142005968. Its totient is φ = 78276592696320.

The previous prime is 212022101011951. The next prime is 212022101012053. The reversal of 212022101012020 is 20210101220212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22452491420836 + 189569609591184 = 4738406^2 + 13768428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212022101011985 and 212022101012003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41820609 + ... + 46615528.

It is an arithmetic number, because the mean of its divisors is an integer number (9990586291791).

Almost surely, 2212022101012020 is an apocalyptic number.

212022101012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022101012020 is an abundant number, since it is smaller than the sum of its proper divisors (267526040993948).

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

212022101012020 is a wasteful number, since it uses less digits than its factorization.

212022101012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88445380 (or 88445378 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212022101012020 its reverse (20210101220212), we get a palindrome (232232202232232).

The spelling of 212022101012020 in words is "two hundred twelve trillion, twenty-two billion, one hundred one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 9221 18442 36884 46105 92210 119873 184420 239746 479492 599365 1198730 2397460 88436137 176872274 353744548 442180685 884361370 1149669781 1768722740 2299339562 4598679124 5748348905 11496697810 22993395620 815469619277 1630939238554 3261878477108 4077348096385 8154696192770 10601105050601 16309392385540 21202210101202 42404420202404 53005525253005 106011050506010 212022101012020