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22002211110100 = 22521377172193181
BaseRepresentation
bin1010000000010110010011…
…11110100011110011010100
32212220101112220220101110111
411000023021332203303110
510340441012021010400
6114443402022532404
74430415205451044
oct500131176436324
985811486811414
1022002211110100
1170130a3636641
122574213b97104
13c37a51969680
14560cac63b724
152824dc0273ba
hex1402c9fa3cd4

22002211110100 has 72 divisors (see below), whose sum is σ = 51424161217688. Its totient is φ = 8122836902400.

The previous prime is 22002211110049. The next prime is 22002211110101. The reversal of 22002211110100 is 101111220022.

It can be written as a sum of positive squares in 12 ways, for example, as 6844052460996 + 15158158649104 = 2616114^2 + 3893348^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002211110101) 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, 8935510 + ... + 11128690.

Almost surely, 222002211110100 is an apocalyptic number.

22002211110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002211110100 is an abundant number, since it is smaller than the sum of its proper divisors (29421950107588).

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

22002211110100 is a wasteful number, since it uses less digits than its factorization.

22002211110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200925 (or 2200918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22002211110100 its reverse (101111220022), we get a palindrome (22103322330122).

The spelling of 22002211110100 in words is "twenty-two trillion, two billion, two hundred eleven million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 7717 15434 30868 38585 77170 100321 154340 192925 200642 385850 401284 501605 771700 1003210 2006420 2193181 2508025 4386362 5016050 8772724 10032100 10965905 21931810 28511353 43863620 54829525 57022706 109659050 114045412 142556765 219318100 285113530 570227060 712783825 1425567650 2851135300 16924777777 33849555554 67699111108 84623888885 169247777770 220022111101 338495555540 423119444425 440044222202 846238888850 880088444404 1100110555505 1692477777700 2200221111010 4400442222020 5500552777525 11001105555050 22002211110100