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2101010112 = 263228312889
BaseRepresentation
bin111110100111010…
…1101111011000000
312102102102101001100
41331032231323000
513300324310422
6544251534400
7103031201625
oct17516557300
95372371040
102101010112
11988a68aa3
124a775a400
13276382866
1415d07034c
15c46b67ac
hex7d3adec0

2101010112 has 84 divisors (see below), whose sum is σ = 6043914760. Its totient is φ = 697807872.

The previous prime is 2101010083. The next prime is 2101010147. The reversal of 2101010112 is 2110101012.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2101010094 and 2101010103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156564 + ... + 169452.

Almost surely, 22101010112 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 2101010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021957380).

2101010112 is an abundant number, since it is smaller than the sum of its proper divisors (3942904648).

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

2101010112 is a wasteful number, since it uses less digits than its factorization.

2101010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13190 (or 13177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2101010112 is about 45836.7768500360. The cubic root of 2101010112 is about 1280.7844540413.

Adding to 2101010112 its reverse (2110101012), we get a palindrome (4211111124).

The spelling of 2101010112 in words is "two billion, one hundred one million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 283 288 566 576 849 1132 1698 2264 2547 3396 4528 5094 6792 9056 10188 12889 13584 18112 20376 25778 27168 38667 40752 51556 54336 77334 81504 103112 116001 154668 163008 206224 232002 309336 412448 464004 618672 824896 928008 1237344 1856016 2474688 3647587 3712032 7295174 7424064 10942761 14590348 21885522 29180696 32828283 43771044 58361392 65656566 87542088 116722784 131313132 175084176 233445568 262626264 350168352 525252528 700336704 1050505056 2101010112