Search a number
-
+
10010101112 = 23111011975717
BaseRepresentation
bin10010101001010011…
…00000010101111000
3221211121202211020122
421110221200111320
5131000041213422
64333143112412
7503026312154
oct112451402570
927747684218
1010010101112
114277494140
121b34442708
13c36b1606b
146ad632064
153d8c05d42
hex254a60578

10010101112 has 64 divisors (see below), whose sum is σ = 20786531040. Its totient is φ = 4481344000.

The previous prime is 10010101103. The next prime is 10010101121. The reversal of 10010101112 is 21110101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10010101103) and next prime (10010101121).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10010101112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1748078 + ... + 1753794.

Almost surely, 210010101112 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 10010101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10393265520).

10010101112 is an abundant number, since it is smaller than the sum of its proper divisors (10776429928).

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

10010101112 is a wasteful number, since it uses less digits than its factorization.

10010101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10010101112 its reverse (21110101001), we get a palindrome (31120202113).

The spelling of 10010101112 in words is "ten billion, ten million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 197 202 394 404 788 808 1111 1576 2167 2222 4334 4444 5717 8668 8888 11434 17336 19897 22868 39794 45736 62887 79588 125774 159176 218867 251548 437734 503096 577417 875468 1126249 1154834 1750936 2252498 2309668 4504996 4619336 6351587 9009992 12388739 12703174 24777478 25406348 49554956 50812696 99109912 113751149 227502298 455004596 910009192 1251262639 2502525278 5005050556 10010101112