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22111122202020 = 223251033313603073
BaseRepresentation
bin1010000011100001001011…
…00101011001110110100100
32220021210200010100002202200
411001300211211121312210
510344232034240431040
6115005413113334500
74441322135453265
oct501604545316644
986253603302680
1022111122202020
117055302057a15
12259134a107430
13c450ba69a467
14566280d6c96c
1528526372a630
hex141c25959da4

22111122202020 has 144 divisors (see below), whose sum is σ = 67926188733312. Its totient is φ = 5821411368960.

The previous prime is 22111122202003. The next prime is 22111122202051. The reversal of 22111122202020 is 2020222111122.

It is a happy number.

22111122202020 is a `hidden beast` number, since 221 + 11 + 12 + 220 + 202 + 0 = 666.

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 = 22111122201984 and 22111122202002.

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, 4335204 + ... + 7938276.

Almost surely, 222111122202020 is an apocalyptic number.

22111122202020 is a gapful number since it is divisible by the number (20) 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 22111122202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33963094366656).

22111122202020 is an abundant number, since it is smaller than the sum of its proper divisors (45815066531292).

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

22111122202020 is a wasteful number, since it uses less digits than its factorization.

22111122202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603522 (or 3603517 counting only the distinct ones).

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

Adding to 22111122202020 its reverse (2020222111122), we get a palindrome (24131344313142).

The spelling of 22111122202020 in words is "twenty-two trillion, one hundred eleven billion, one hundred twenty-two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 331 412 515 618 662 927 993 1030 1236 1324 1545 1655 1854 1986 2060 2979 3090 3310 3708 3972 4635 4965 5958 6180 6620 9270 9930 11916 14895 18540 19860 29790 34093 59580 68186 102279 136372 170465 204558 306837 340930 409116 511395 613674 681860 1022790 1227348 1534185 2045580 3068370 3603073 6136740 7206146 10809219 14412292 18015365 21618438 32427657 36030730 43236876 54046095 64855314 72061460 108092190 129710628 162138285 216184380 324276570 371116519 648553140 742233038 1113349557 1192617163 1484466076 1855582595 2226699114 2385234326 3340048671 3577851489 3711165190 4453398228 4770468652 5566747785 5963085815 6680097342 7155702978 7422330380 10733554467 11133495570 11926171630 13360194684 14311405956 16700243355 17889257445 21467108934 22266991140 23852343260 33400486710 35778514890 42934217868 53667772335 66800973420 71557029780 107335544670 122839567789 214671089340 245679135578 368518703367 491358271156 614197838945 737037406734 1105556110101 1228395677890 1474074813468 1842593516835 2211112220202 2456791355780 3685187033670 4422224440404 5527780550505 7370374067340 11055561101010 22111122202020