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2211222012100 = 2252192940131071
BaseRepresentation
bin100000001011010111000…
…110100100000011000100
321211101112212022211001021
4200023113012210003010
5242212040313341400
64411453225440524
7315520066661353
oct40132706440304
97741485284037
102211222012100
117828571a7852
122b8671940144
131306957a139a
147904911399a
153c7bb74771a
hex202d71a40c4

2211222012100 has 72 divisors (see below), whose sum is σ = 5225065574400. Its totient is φ = 809042371200.

The previous prime is 2211222012079. The next prime is 2211222012101. The reversal of 2211222012100 is 12102221122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2211222012101) 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, 20010436 + ... + 20120635.

It is an arithmetic number, because the mean of its divisors is an integer number (72570355200).

Almost surely, 22211222012100 is an apocalyptic number.

2211222012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211222012100 is an abundant number, since it is smaller than the sum of its proper divisors (3013843562300).

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

2211222012100 is a wasteful number, since it uses less digits than its factorization.

2211222012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40131133 (or 40131126 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2211222012100 its reverse (12102221122), we get a palindrome (2223324233222).

The spelling of 2211222012100 in words is "two trillion, two hundred eleven billion, two hundred twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 5510 11020 13775 27550 55100 40131071 80262142 160524284 200655355 401310710 762490349 802621420 1003276775 1163801059 1524980698 2006553550 2327602118 3049961396 3812451745 4013107100 4655204236 5819005295 7624903490 11638010590 15249806980 19062258725 22112220121 23276021180 29095026475 38124517450 44224440242 58190052950 76249034900 88448880484 110561100605 116380105900 221122201210 442244402420 552805503025 1105611006050 2211222012100