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100222100022200 = 235213229168327343
BaseRepresentation
bin10110110010011011000110…
…101010111010001110111000
3111010212010202110200122220212
4112302123012222322032320
5101114014330101202300
6553053221441010252
730052544032161662
oct2662330652721670
9433763673618825
10100222100022200
1129a2aa54750132
12b2a786a623988
1343bcb98c37a20
141aa6ac006d532
15b8c01802d935
hex5b26c6aba3b8

100222100022200 has 96 divisors (see below), whose sum is σ = 252036532171200. Its totient is φ = 36843488616960.

The previous prime is 100222100022197. The next prime is 100222100022217. The reversal of 100222100022200 is 2220001222001.

It is a super-2 number, since 2×1002221000222002 (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 83568272 + ... + 84759071.

It is an arithmetic number, because the mean of its divisors is an integer number (2625380543450).

Almost surely, 2100222100022200 is an apocalyptic number.

100222100022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222100022200 is an abundant number, since it is smaller than the sum of its proper divisors (151814432149000).

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

100222100022200 is a wasteful number, since it uses less digits than its factorization.

100222100022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168327601 (or 168327592 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100222100022200 its reverse (2220001222001), we get a palindrome (102442101244201).

The spelling of 100222100022200 in words is "one hundred trillion, two hundred twenty-two billion, one hundred million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 229 260 325 458 520 650 916 1145 1300 1832 2290 2600 2977 4580 5725 5954 9160 11450 11908 14885 22900 23816 29770 45800 59540 74425 119080 148850 297700 595400 168327343 336654686 673309372 841636715 1346618744 1683273430 2188255459 3366546860 4208183575 4376510918 6733093720 8416367150 8753021836 10941277295 16832734300 17506043672 21882554590 33665468600 38546961547 43765109180 54706386475 77093923094 87530218360 109412772950 154187846188 192734807735 218825545900 308375692376 385469615470 437651091800 501110500111 770939230940 963674038675 1002221000222 1541878461880 1927348077350 2004442000444 2505552500555 3854696154700 4008884000888 5011105001110 7709392309400 10022210002220 12527762502775 20044420004440 25055525005550 50111050011100 100222100022200