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21112022211120 = 243551086009373
BaseRepresentation
bin1001100110011100001101…
…00101011001101000110000
32202202021211010102212200000
410303032012211121220300
510231344410141223440
6112522421253230000
74306202406611421
oct463160645315060
982667733385600
1021112022211120
1167aa6161701a5
12244b799632300
13ba1b169cc4a9
1452db82285648
1526928aee3730
hex133386959a30

21112022211120 has 120 divisors (see below), whose sum is σ = 73527178657296. Its totient is φ = 5629872584448.

The previous prime is 21112022211097. The next prime is 21112022211127. The reversal of 21112022211120 is 2111222021112.

21112022211120 is a `hidden beast` number, since 211 + 1 + 202 + 221 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 21112022211093 and 21112022211102.

It is not an unprimeable number, because it can be changed into a prime (21112022211127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542985247 + ... + 543024126.

Almost surely, 221112022211120 is an apocalyptic number.

21112022211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112022211120 is an abundant number, since it is smaller than the sum of its proper divisors (52415156446176).

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

21112022211120 is a wasteful number, since it uses less digits than its factorization.

21112022211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086009401 (or 1086009383 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21112022211120 its reverse (2111222021112), we get a palindrome (23223244232232).

The spelling of 21112022211120 in words is "twenty-one trillion, one hundred twelve billion, twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 1086009373 2172018746 3258028119 4344037492 5430046865 6516056238 8688074984 9774084357 10860093730 13032112476 16290140595 17376149968 19548168714 21720187460 26064224952 29322253071 32580281190 39096337428 43440374920 48870421785 52128449904 58644506142 65160562380 78192674856 86880749840 87966759213 97740843570 117289012284 130321124760 146611265355 156385349712 175933518426 195481687140 234578024568 260642249520 263900277639 293222530710 351867036852 390963374280 439833796065 469156049136 527800555278 586445061420 703734073704 781926748560 879667592130 1055601110556 1172890122840 1319501388195 1407468147408 1759335184260 2111202221112 2345780245680 2639002776390 3518670368520 4222404442224 5278005552780 7037340737040 10556011105560 21112022211120