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22102101221220 = 22325377942008023
BaseRepresentation
bin1010000011010000010111…
…11001000101111101100100
32220020221101102202210111200
411001220023321011331210
510344110100403034340
6115001322022402500
74440552446416566
oct501501371057544
986227342683450
1022102101221220
1170514a2a36589
12258b650b90430
13c442b07824b7
14565a66c55336
15284dd67a7330
hex141a0be45f64

22102101221220 has 144 divisors (see below), whose sum is σ = 69726598556160. Its totient is φ = 5662009237248.

The previous prime is 22102101221129. The next prime is 22102101221261. The reversal of 22102101221220 is 2212210120122.

It is a happy number.

22102101221220 is a `hidden beast` number, since 2 + 2 + 10 + 210 + 1 + 221 + 220 = 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 = 22102101221193 and 22102101221202.

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, 20477872 + ... + 21530151.

Almost surely, 222102101221220 is an apocalyptic number.

22102101221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102101221220 is an abundant number, since it is smaller than the sum of its proper divisors (47624497334940).

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

22102101221220 is a wasteful number, since it uses less digits than its factorization.

22102101221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42008154 (or 42008149 counting only the distinct ones).

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

Adding to 22102101221220 its reverse (2212210120122), we get a palindrome (24314311341342).

The spelling of 22102101221220 in words is "twenty-two trillion, one hundred two billion, one hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 79 90 111 148 158 180 185 222 237 316 333 370 395 444 474 555 666 711 740 790 948 1110 1185 1332 1422 1580 1665 2220 2370 2844 2923 3330 3555 4740 5846 6660 7110 8769 11692 14220 14615 17538 26307 29230 35076 43845 52614 58460 87690 105228 131535 175380 263070 526140 42008023 84016046 126024069 168032092 210040115 252048138 378072207 420080230 504096276 630120345 756144414 840160460 1260240690 1512288828 1554296851 1890361035 2520481380 3108593702 3318633817 3780722070 4662890553 6217187404 6637267634 7561444140 7771484255 9325781106 9955901451 13274535268 13988671659 15542968510 16593169085 18651562212 19911802902 23314452765 27977343318 29867704353 31085937020 33186338170 39823605804 46628905530 49779507255 55954686636 59735408706 66372676340 69943358295 93257811060 99559014510 119470817412 122789451229 139886716590 149338521765 199118029020 245578902458 279773433180 298677043530 368368353687 491157804916 597354087060 613947256145 736736707374 1105105061061 1227894512290 1473473414748 1841841768435 2210210122122 2455789024580 3683683536870 4420420244244 5525525305305 7367367073740 11051050610610 22102101221220