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2210102010012 = 2231361257903701
BaseRepresentation
bin100000001010010100010…
…110000110000010011100
321211021122210211211000110
4200022110112012002130
5242202242103310022
64411150140130020
7315450250060221
oct40122426060234
97737583754013
102210102010012
11782331a70696
122b83ba836910
13130547739360
1478d80489948
153c75326000c
hex2029458609c

2210102010012 has 96 divisors (see below), whose sum is σ = 5666601939264. Its totient is φ = 666279936000.

The previous prime is 2210102010001. The next prime is 2210102010023. The reversal of 2210102010012 is 2100102010122.

It is an interprime number because it is at equal distance from previous prime (2210102010001) and next prime (2210102010023).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2210102010012.

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, 1993762 + ... + 2897462.

It is an arithmetic number, because the mean of its divisors is an integer number (59027103534).

Almost surely, 22210102010012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210102010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833300969632).

2210102010012 is an abundant number, since it is smaller than the sum of its proper divisors (3456499929252).

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

2210102010012 is a wasteful number, since it uses less digits than its factorization.

2210102010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904039 (or 904037 counting only the distinct ones).

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

Adding to 2210102010012 its reverse (2100102010122), we get a palindrome (4310204020134).

The spelling of 2210102010012 in words is "two trillion, two hundred ten billion, one hundred two million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 257 366 514 732 771 793 1028 1542 1586 2379 3084 3172 3341 4758 6682 9516 10023 13364 15677 20046 31354 40092 47031 62708 94062 188124 203801 407602 611403 815204 903701 1222806 1807402 2445612 2711103 3614804 5422206 10844412 11748113 23496226 35244339 46992452 55125761 70488678 110251522 140977356 165377283 220503044 232251157 330754566 464502314 661509132 696753471 716634893 929004628 1393506942 1433269786 2149904679 2787013884 2866539572 3019265041 4299809358 6038530082 8599618716 9057795123 12077060164 14167320577 18115590246 28334641154 36231180492 42501961731 56669282308 85003923462 170007846924 184175167501 368350335002 552525502503 736700670004 1105051005006 2210102010012