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22012202102100 = 22352741255658561
BaseRepresentation
bin1010000000101000111010…
…11111001010110101010100
32212221100100012201100221020
411000110131133022311110
510341121442214231400
6114452133244321140
74431220613464440
oct500243537126524
985840305640836
1022012202102100
117017360258821
122576141b431b0
13c38984821962
145615794d7820
152828c42062a0
hex14051d7cad54

22012202102100 has 144 divisors (see below), whose sum is σ = 74562308290176. Its totient is φ = 4908644352000.

The previous prime is 22012202102089. The next prime is 22012202102101. The reversal of 22012202102100 is 120120221022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22012202102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22012202102101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127743181 + ... + 127915380.

Almost surely, 222012202102100 is an apocalyptic number.

22012202102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012202102100 is an abundant number, since it is smaller than the sum of its proper divisors (52550106188076).

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

22012202102100 is a wasteful number, since it uses less digits than its factorization.

22012202102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255658626 (or 255658619 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22012202102100 its reverse (120120221022), we get a palindrome (22132322323122).

The spelling of 22012202102100 in words is "twenty-two trillion, twelve billion, two hundred two million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 41 42 50 60 70 75 82 84 100 105 123 140 150 164 175 205 210 246 287 300 350 410 420 492 525 574 615 700 820 861 1025 1050 1148 1230 1435 1722 2050 2100 2460 2870 3075 3444 4100 4305 5740 6150 7175 8610 12300 14350 17220 21525 28700 43050 86100 255658561 511317122 766975683 1022634244 1278292805 1533951366 1789609927 2556585610 3067902732 3579219854 3834878415 5113171220 5368829781 6391464025 7158439708 7669756830 8948049635 10482001001 10737659562 12782928050 15339513660 17896099270 19174392075 20964002002 21475319124 25565856100 26844148905 31446003003 35792198540 38348784150 41928004004 44740248175 52410005005 53688297810 62892006006 73374007007 76697568300 89480496350 104820010010 107376595620 125784012012 134220744525 146748014014 157230015015 178960992700 209640020020 220122021021 262050025025 268441489050 293496028028 314460030030 366870035035 440244042042 524100050050 536882978100 628920060060 733740070070 786150075075 880488084084 1048200100100 1100610105105 1467480140140 1572300150150 1834350175175 2201220210210 3144600300300 3668700350350 4402440420420 5503050525525 7337400700700 11006101051050 22012202102100