Search a number
-
+
101120012010 = 2345124839521
BaseRepresentation
bin101111000101100111…
…0001110111011101010
3100200000020010211220000
41132023032032323222
53124043210341020
6114242012443430
710206563630433
oct1361316167352
9320006124800
10101120012010
1139980679766
1217720a79576
1396c6879144
144c73acc48a
15296c725090
hex178b38eeea

101120012010 has 40 divisors (see below), whose sum is σ = 271900478916. Its totient is φ = 26965336320.

The previous prime is 101120011997. The next prime is 101120012023. The reversal of 101120012010 is 10210021101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101120011997) and next prime (101120012023).

It can be written as a sum of positive squares in 2 ways, for example, as 92269530081 + 8850481929 = 303759^2 + 94077^2 .

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 = 101120011983 and 101120012001.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62418951 + ... + 62420570.

Almost surely, 2101120012010 is an apocalyptic number.

101120012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120012010 is an abundant number, since it is smaller than the sum of its proper divisors (170780466906).

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

101120012010 is a wasteful number, since it uses less digits than its factorization.

101120012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124839540 (or 124839531 counting only the distinct ones).

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

Adding to 101120012010 its reverse (10210021101), we get a palindrome (111330033111).

Subtracting from 101120012010 its reverse (10210021101), we obtain a palindrome (90909990909).

The spelling of 101120012010 in words is "one hundred one billion, one hundred twenty million, twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 124839521 249679042 374518563 624197605 749037126 1123555689 1248395210 1872592815 2247111378 3370667067 3745185630 5617778445 6741334134 10112001201 11235556890 16853335335 20224002402 33706670670 50560006005 101120012010