Search a number
-
+
101112300233031 = 33747107181133749
BaseRepresentation
bin10110111111011000001010…
…101111001110000101000111
3111021000020112001102212122210
4112333120022233032011013
5101223110442324424111
6555014203252554503
730204060026133423
oct2677301257160507
9437006461385583
10101112300233031
112a24353854230a
12b4102a8922a33
134455b063358c9
141ad7c0bb2bb83
15ba526a0490a6
hex5bf60abce147

101112300233031 has 32 divisors (see below), whose sum is σ = 142727598720000. Its totient is φ = 63590987177856.

The previous prime is 101112300232967. The next prime is 101112300233053. The reversal of 101112300233031 is 130332003211101.

It is a happy number.

It is not a de Polignac number, because 101112300233031 - 26 = 101112300232967 is a prime.

It is a super-2 number, since 2×1011123002330312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112300232989 and 101112300233007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112300233731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90008656 + ... + 91125093.

It is an arithmetic number, because the mean of its divisors is an integer number (4460237460000).

Almost surely, 2101112300233031 is an apocalyptic number.

101112300233031 is a deficient number, since it is larger than the sum of its proper divisors (41615298486969).

101112300233031 is a wasteful number, since it uses less digits than its factorization.

101112300233031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181133943.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101112300233031 its reverse (130332003211101), we get a palindrome (231444303444132).

The spelling of 101112300233031 in words is "one hundred one trillion, one hundred twelve billion, three hundred million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 3 37 47 107 111 141 321 1739 3959 5029 5217 11877 15087 186073 558219 181133749 543401247 6701948713 8513286203 19381311143 20105846139 25539858609 58143933429 314991589511 717108512291 910921623721 944974768533 2151325536873 2732764871163 33704100077677 101112300233031