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2110121122068 = 2232157953391753
BaseRepresentation
bin11110101101001101000…
…001010001100100010100
321110201120222011110120200
4132231031001101210110
5234033012001401233
64253213134500500
7305310524412051
oct36551501214424
97421528143520
102110121122068
117439963a9783
122a0b57364730
13123ca2b8bb2b
14741b7ba2028
1539d50a4d313
hex1eb4d051914

2110121122068 has 72 divisors (see below), whose sum is σ = 5373537617448. Its totient is φ = 698158476288.

The previous prime is 2110121122061. The next prime is 2110121122069. The reversal of 2110121122068 is 8602211210112.

It can be written as a sum of positive squares in 4 ways, for example, as 223778194704 + 1886342927364 = 473052^2 + 1373442^2 .

It is a super-2 number, since 2×21101211220682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110121122061) 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, 5190480 + ... + 5582232.

It is an arithmetic number, because the mean of its divisors is an integer number (74632466909).

Almost surely, 22110121122068 is an apocalyptic number.

It is an amenable number.

2110121122068 is an abundant number, since it is smaller than the sum of its proper divisors (3263416495380).

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

2110121122068 is a wasteful number, since it uses less digits than its factorization.

2110121122068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392873 (or 392868 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 2110121122068 in words is "two trillion, one hundred ten billion, one hundred twenty-one million, one hundred twenty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 953 1413 1884 1906 2826 2859 3812 5652 5718 8577 11436 17154 34308 149621 299242 391753 448863 598484 783506 897726 1175259 1346589 1567012 1795452 2350518 2693178 3525777 4701036 5386356 7051554 14103108 61505221 123010442 184515663 246020884 369031326 373340609 553546989 738062652 746681218 1107093978 1120021827 1493362436 2214187956 2240043654 3360065481 4480087308 6720130962 13440261924 58614475613 117228951226 175843426839 234457902452 351686853678 527530280517 703373707356 1055060561034 2110121122068