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20220122100020 = 22517881287923447
BaseRepresentation
bin1001001100011110111010…
…01100011111000100110100
32122121000200002000210010212
410212033131030133010310
510122241302224200040
6111000555034404552
74154566322011343
oct446173514370464
978530602023125
1020220122100020
11649633a873867
122326965b90758
13b3899838b56b
144dc932929b5a
15250e89b43d65
hex1263dd31f134

20220122100020 has 96 divisors (see below), whose sum is σ = 45028623790080. Its totient is φ = 7600675512320.

The previous prime is 20220122100007. The next prime is 20220122100089. The reversal of 20220122100020 is 2000122102202.

It is a junction number, because it is equal to n+sod(n) for n = 20220122099968 and 20220122100004.

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 31 ways as a sum of consecutive naturals, for example, 862363937 + ... + 862387383.

It is an arithmetic number, because the mean of its divisors is an integer number (469048164480).

Almost surely, 220220122100020 is an apocalyptic number.

20220122100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220122100020 is an abundant number, since it is smaller than the sum of its proper divisors (24808501690060).

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

20220122100020 is a wasteful number, since it uses less digits than its factorization.

20220122100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27233 (or 27231 counting only the distinct ones).

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

Adding to 20220122100020 its reverse (2000122102202), we get a palindrome (22220244202222).

The spelling of 20220122100020 in words is "twenty trillion, two hundred twenty billion, one hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 881 1762 2879 3524 4405 5758 8810 11516 14395 14977 17620 23447 28790 29954 46894 48943 57580 59908 74885 93788 97886 117235 149770 195772 234470 244715 299540 398599 468940 489430 797198 978860 1594396 1992995 2536399 3985990 5072798 7971980 10145596 12681995 20656807 25363990 41313614 43118783 50727980 67503913 82627228 86237566 103284035 135007826 172475132 206568070 215593915 270015652 337519565 351165719 413136140 431187830 675039130 702331438 862375660 1147566521 1350078260 1404662876 1755828595 2295133042 3511657190 4590266084 5737832605 7023314380 11475665210 22951330420 59470947353 118941894706 237883789412 297354736765 594709473530 1011006105001 1189418947060 2022012210002 4044024420004 5055030525005 10110061050010 20220122100020