Search a number
-
+
1010112211104 = 25321149867309
BaseRepresentation
bin11101011001011110110…
…00010010100010100000
310120120021110022222022020
432230233120102202200
5113022202211223404
62052012242141440
7132656344062033
oct16545730224240
93516243288266
101010112211104
1135a428011857
12143924651880
137433a2b38c9
1436c6545901a
151b41e3dbed9
hexeb2f6128a0

1010112211104 has 48 divisors (see below), whose sum is σ = 2664111169440. Its totient is φ = 335108309760.

The previous prime is 1010112211099. The next prime is 1010112211127. The reversal of 1010112211104 is 4011122110101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10101122111043 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24913399 + ... + 24953910.

It is an arithmetic number, because the mean of its divisors is an integer number (55502316030).

Almost surely, 21010112211104 is an apocalyptic number.

It is an amenable number.

1010112211104 is an abundant number, since it is smaller than the sum of its proper divisors (1653998958336).

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

1010112211104 is a wasteful number, since it uses less digits than its factorization.

1010112211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49867533 (or 49867525 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1010112211104 its reverse (4011122110101), we get a palindrome (5021234321205).

The spelling of 1010112211104 in words is "one trillion, ten billion, one hundred twelve million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2532 3376 5064 6752 10128 20256 49867309 99734618 149601927 199469236 299203854 398938472 598407708 797876944 1196815416 1595753888 2393630832 4787261664 10522002199 21044004398 31566006597 42088008796 63132013194 84176017592 126264026388 168352035184 252528052776 336704070368 505056105552 1010112211104