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1022202100220 = 2257149167293431
BaseRepresentation
bin11101101111111111111…
…11100011100111111100
310121201111000120222100012
432313333333203213330
5113221432214201340
62101332042322352
7133565056330130
oct16677777434774
93551430528305
101022202100220
11364571489454
121461394b93b8
1375515c5ba52
1437690d953c0
151b8ca9b6565
hexedfffe39fc

1022202100220 has 96 divisors (see below), whose sum is σ = 2484547430400. Its totient is φ = 346031435520.

The previous prime is 1022202100211. The next prime is 1022202100237. The reversal of 1022202100220 is 220012022201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1022202100195 and 1022202100204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3336905 + ... + 3630335.

It is an arithmetic number, because the mean of its divisors is an integer number (25880702400).

Almost surely, 21022202100220 is an apocalyptic number.

1022202100220 is a gapful number since it is divisible by the number (10) 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 1022202100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242273715200).

1022202100220 is an abundant number, since it is smaller than the sum of its proper divisors (1462345330180).

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

1022202100220 is a wasteful number, since it uses less digits than its factorization.

1022202100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293763 (or 293761 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1022202100220 its reverse (220012022201), we get a palindrome (1242214122421).

The spelling of 1022202100220 in words is "one trillion, twenty-two billion, two hundred two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 149 167 298 334 596 668 745 835 1043 1169 1490 1670 2086 2338 2980 3340 4172 4676 5215 5845 10430 11690 20860 23380 24883 49766 99532 124415 174181 248830 293431 348362 497660 586862 696724 870905 1173724 1467155 1741810 2054017 2934310 3483620 4108034 5868620 8216068 10270085 20540170 41080340 43721219 49002977 87442438 98005954 174884876 196011908 218606095 245014885 306048533 343020839 437212190 490029770 612097066 686041678 874424380 980059540 1224194132 1372083356 1530242665 1715104195 3060485330 3430208390 6120970660 6860416780 7301443573 14602887146 29205774292 36507217865 51110105011 73014435730 102220210022 146028871460 204440420044 255550525055 511101050110 1022202100220