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2210110110012 = 2237371831388369
BaseRepresentation
bin100000001010010100110…
…100111111100100111100
321211021200101002100010110
4200022110310333210330
5242202301142010022
64411151025510020
7315450405654330
oct40122464774474
97737611070113
102210110110012
117823365a3302
122b84014a2310
1313054931415c
1478d815977c0
153c753d1000c
hex20294d3f93c

2210110110012 has 96 divisors (see below), whose sum is σ = 6056235566080. Its totient is φ = 614056412160.

The previous prime is 2210110109957. The next prime is 2210110110067. The reversal of 2210110110012 is 2100110110122.

It is an interprime number because it is at equal distance from previous prime (2210110109957) and next prime (2210110110067).

It is a super-3 number, since 3×22101101100123 (a number of 38 digits) contains 333 as substring.

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 2210110110012.

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, 5496564 + ... + 5884932.

Almost surely, 22210110110012 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 2210110110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028117783040).

2210110110012 is an abundant number, since it is smaller than the sum of its proper divisors (3846125456068).

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

2210110110012 is a wasteful number, since it uses less digits than its factorization.

2210110110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390251 (or 390249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2210110110012 its reverse (2100110110122), we get a palindrome (4310220220134).

The spelling of 2210110110012 in words is "two trillion, two hundred ten billion, one hundred ten million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 1831 3108 3662 5493 7324 10986 12817 21972 25634 38451 51268 67747 76902 135494 153804 203241 270988 388369 406482 474229 776738 812964 948458 1165107 1422687 1553476 1896916 2330214 2718583 2845374 4660428 5437166 5690748 8155749 10874332 14369653 16311498 28739306 32622996 43108959 57478612 86217918 100587571 172435836 201175142 301762713 402350284 603525426 711103639 1207050852 1422207278 2133310917 2844414556 4266621834 4977725473 8533243668 9955450946 14933176419 19910901892 26310834643 29866352838 52621669286 59732705676 78932503929 105243338572 157865007858 184175842501 315730015716 368351685002 552527527503 736703370004 1105055055006 2210110110012