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2200000002102 = 2327295393111641
BaseRepresentation
bin100000000000111010001…
…101111111100000110110
321210022120210010122100100
4200000322031333200312
5242021100000031402
64402355511054530
7314642023321140
oct40007215774066
97708523118310
102200000002102
11779018713621
122b645b671446
1312c5c7884496
14786a2971c90
153c36145271c
hex2003a37f836

2200000002102 has 96 divisors (see below), whose sum is σ = 5636563433280. Its totient is φ = 606778583040.

The previous prime is 2200000002091. The next prime is 2200000002107. The reversal of 2200000002102 is 2012000000022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200000002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19650202 + ... + 19761842.

It is an arithmetic number, because the mean of its divisors is an integer number (58714202430).

Almost surely, 22200000002102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200000002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818281716640).

2200000002102 is an abundant number, since it is smaller than the sum of its proper divisors (3436563431178).

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

2200000002102 is a wasteful number, since it uses less digits than its factorization.

2200000002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117078 (or 117075 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2200000002102 its reverse (2012000000022), we get a palindrome (4212000002124).

The spelling of 2200000002102 in words is "two trillion, two hundred billion, two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 5393 10786 16179 32358 37751 48537 75502 97074 111641 113253 156397 223282 226506 312794 334923 339759 469191 669846 679518 781487 938382 1004769 1094779 1407573 1562974 2009538 2189558 2344461 2815146 3237589 3284337 4688922 6475178 6568674 7033383 9712767 9853011 14066766 19425534 19706022 22663123 29138301 45326246 58276602 67989369 135978738 203968107 407936214 602079913 1204159826 1806239739 3612479478 4214559391 5418719217 8429118782 10837438434 12643678173 17460317477 25287356346 34920634954 37931034519 52380952431 75862069038 104761904862 122222222339 157142857293 244444444678 314285714586 366666667017 733333334034 1100000001051 2200000002102