Search a number
-
+
100112402244031 = 4125758716185749
BaseRepresentation
bin10110110000110100111100…
…001011000110000110111111
3111010110122121102222010221221
4112300310330023012012333
5101110220144433302111
6552531000324534211
730041611440353512
oct2660647413060677
9433418542863857
10100112402244031
1129998482161831
12b28a554b51367
1343b2736236008
141aa167507ad79
15b89247733371
hex5b0d3c2c61bf

100112402244031 has 16 divisors (see below), whose sum is σ = 103128606756000. Its totient is φ = 97124846878720.

The previous prime is 100112402243969. The next prime is 100112402244073. The reversal of 100112402244031 is 130442204211001.

It is a cyclic number.

It is not a de Polignac number, because 100112402244031 - 29 = 100112402243519 is a prime.

It is a super-2 number, since 2×1001124022440312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112402243987 and 100112402244005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112402244731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1907656 + ... + 14278093.

It is an arithmetic number, because the mean of its divisors is an integer number (6445537922250).

Almost surely, 2100112402244031 is an apocalyptic number.

100112402244031 is a deficient number, since it is larger than the sum of its proper divisors (3016204511969).

100112402244031 is a wasteful number, since it uses less digits than its factorization.

100112402244031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16186634.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 100112402244031 its reverse (130442204211001), we get a palindrome (230554606455032).

The spelling of 100112402244031 in words is "one hundred trillion, one hundred twelve billion, four hundred two million, two hundred forty-four thousand, thirty-one".

Divisors: 1 41 257 587 10537 24067 150859 6185219 16185749 663615709 4159737493 9501034663 170549237213 389542421183 2441765908391 100112402244031