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21020112102222 = 232103109509204353
BaseRepresentation
bin1001100011110001000000…
…10100001010001101001110
32202102111120202100120201200
410301320200110022031032
510223343142144232342
6112412301200450330
74266436654563312
oct461704024121516
982374522316650
1021020112102222
11677464131a012
122435a090199a6
13b9625a24737c
1452954380bb42
15266bac10d94c
hex131e2050a34e

21020112102222 has 96 divisors (see below), whose sum is σ = 46499036126400. Its totient is φ = 6861479694336.

The previous prime is 21020112102167. The next prime is 21020112102289. The reversal of 21020112102222 is 22220121102012.

It is a happy number.

21020112102222 is a `hidden beast` number, since 210 + 20 + 1 + 1 + 210 + 2 + 222 = 666.

It is a super-2 number, since 2×210201121022222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21020112102195 and 21020112102204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102759598 + ... + 102963950.

It is an arithmetic number, because the mean of its divisors is an integer number (484364959650).

Almost surely, 221020112102222 is an apocalyptic number.

21020112102222 is an abundant number, since it is smaller than the sum of its proper divisors (25478924024178).

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

21020112102222 is a wasteful number, since it uses less digits than its factorization.

21020112102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205082 (or 205079 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21020112102222 its reverse (22220121102012), we get a palindrome (43240233204234).

The spelling of 21020112102222 in words is "twenty-one trillion, twenty billion, one hundred twelve million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 103 109 206 218 309 327 509 618 654 927 981 1018 1527 1854 1962 3054 4581 9162 11227 22454 33681 52427 55481 67362 101043 104854 110962 157281 166443 202086 204353 314562 332886 408706 471843 499329 613059 943686 998658 1226118 1839177 3678354 5714543 11429086 17143629 21048359 22274477 34287258 42096718 44548954 51430887 63145077 66823431 102861774 104015677 126290154 133646862 189435231 200470293 208031354 312047031 378870462 400940586 624094062 936141093 1872282186 2294271131 4588542262 6882813393 10713614731 11337708793 13765626786 20648440179 21427229462 22675417586 32140844193 34013126379 41296880358 64281688386 68026252758 96422532579 102039379137 192845065158 204078758274 1167784005679 2335568011358 3503352017037 7006704034074 10510056051111 21020112102222