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2210211000102 = 237835099124343
BaseRepresentation
bin100000001010011010110…
…101110110111100100110
321211021221101221002022110
4200022122311312330212
5242203003004000402
64411205032141450
7315453042344460
oct40123265667446
97737841832273
102210211000102
11782388542546
122b842b237886
131305641a9b31
1478d90b3b130
153c75cadd56c
hex2029ad76f26

2210211000102 has 64 divisors (see below), whose sum is σ = 5113821081600. Its totient is φ = 623753187744.

The previous prime is 2210211000089. The next prime is 2210211000119. The reversal of 2210211000102 is 2010001120122.

2210211000102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22102110001023 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17712943 + ... + 17837285.

It is an arithmetic number, because the mean of its divisors is an integer number (79903454400).

Almost surely, 22210211000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210211000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556910540800).

2210211000102 is an abundant number, since it is smaller than the sum of its proper divisors (2903610081498).

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

2210211000102 is a wasteful number, since it uses less digits than its factorization.

2210211000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129537.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2210211000102 its reverse (2010001120122), we get a palindrome (4220212120224).

The spelling of 2210211000102 in words is "two trillion, two hundred ten billion, two hundred eleven million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 1162 1743 3486 5099 10198 15297 30594 35693 71386 107079 124343 214158 248686 373029 423217 746058 846434 870401 1269651 1740802 2539302 2611203 2962519 5222406 5925038 8887557 10320469 17775114 20640938 30961407 61922814 72243283 144486566 216729849 433459698 634024957 1268049914 1902074871 3804149742 4438174699 8876349398 13314524097 26629048194 52624071431 105248142862 157872214293 315744428586 368368500017 736737000034 1105105500051 2210211000102