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1224342423100 = 22521911325722189
BaseRepresentation
bin10001110100010000011…
…111101100011000111100
311100001020112021022212101
4101310100133230120330
5130024423130014400
62334242151114444
7154312226612416
oct21642037543074
94301215238771
101224342423100
11432271419935
12179351972a24
138b5bb816564
144338941b9b6
1521cabcba56a
hex11d107ec63c

1224342423100 has 144 divisors (see below), whose sum is σ = 2832510895200. Its totient is φ = 458045521920.

The previous prime is 1224342422977. The next prime is 1224342423127. The reversal of 1224342423100 is 13242434221.

It is a super-2 number, since 2×12243424231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 55166806 + ... + 55188994.

It is an arithmetic number, because the mean of its divisors is an integer number (19670214550).

Almost surely, 21224342423100 is an apocalyptic number.

1224342423100 is a gapful number since it is divisible by the number (10) 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 1224342423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416255447600).

1224342423100 is an abundant number, since it is smaller than the sum of its proper divisors (1608168472100).

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

1224342423100 is a wasteful number, since it uses less digits than its factorization.

1224342423100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22592 (or 22585 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1224342423100 its reverse (13242434221), we get a palindrome (1237584857321).

The spelling of 1224342423100 in words is "one trillion, two hundred twenty-four billion, three hundred forty-two million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 113 190 226 257 380 452 475 514 565 950 1028 1130 1285 1900 2147 2260 2570 2825 4294 4883 5140 5650 6425 8588 9766 10735 11300 12850 19532 21470 22189 24415 25700 29041 42940 44378 48830 53675 58082 88756 97660 107350 110945 116164 122075 145205 214700 221890 244150 290410 421591 443780 488300 551779 554725 580820 726025 843182 1103558 1109450 1452050 1686364 2107955 2207116 2218900 2507357 2758895 2904100 4215910 5014714 5517790 5702573 8431820 10029428 10539775 11035580 11405146 12536785 13794475 21079550 22810292 25073570 27588950 28512865 42159100 47639783 50147140 55177900 57025730 62683925 95279566 108348887 114051460 125367850 142564325 190559132 216697774 238198915 250735700 285128650 433395548 476397830 541744435 570257300 644390749 952795660 1083488870 1190994575 1288781498 2166977740 2381989150 2577562996 2708722175 3221953745 4763978300 5417444350 6443907490 10834888700 12243424231 12887814980 16109768725 24486848462 32219537450 48973696924 61217121155 64439074900 122434242310 244868484620 306085605775 612171211550 1224342423100