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22010121022100 = 22521761212248033
BaseRepresentation
bin1010000000100101000010…
…11100011110101010010100
32212221010222011210112212012
411000102201130132222110
510341103211440201400
6114451150543443352
74431115213551011
oct500224134365224
985833864715765
1022010121022100
1170164925725a2
122575860bb6558
13c38712629783
1456141cd74708
15282801679d35
hex1404a171ea94

22010121022100 has 72 divisors (see below), whose sum is σ = 51400530889848. Its totient is φ = 8150324428800.

The previous prime is 22010121022033. The next prime is 22010121022157. The reversal of 22010121022100 is 122012101022.

It can be written as a sum of positive squares in 12 ways, for example, as 2581896221584 + 19428224800516 = 1606828^2 + 4407746^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106020317 + ... + 106227716.

It is an arithmetic number, because the mean of its divisors is an integer number (713896262359).

Almost surely, 222010121022100 is an apocalyptic number.

22010121022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010121022100 is an abundant number, since it is smaller than the sum of its proper divisors (29390409867748).

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

22010121022100 is a wasteful number, since it uses less digits than its factorization.

22010121022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212248125 (or 212248118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22010121022100 its reverse (122012101022), we get a palindrome (22132133123122).

The spelling of 22010121022100 in words is "twenty-two trillion, ten billion, one hundred twenty-one million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 61 68 85 100 122 170 244 305 340 425 610 850 1037 1220 1525 1700 2074 3050 4148 5185 6100 10370 20740 25925 51850 103700 212248033 424496066 848992132 1061240165 2122480330 3608216561 4244960660 5306200825 7216433122 10612401650 12947130013 14432866244 18041082805 21224803300 25894260026 36082165610 51788520052 64735650065 72164331220 90205414025 129471300130 180410828050 220101210221 258942600260 323678250325 360821656100 440202420442 647356500650 880404840884 1100506051105 1294713001300 2201012102210 4402024204420 5502530255525 11005060511050 22010121022100