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1100031113031 = 323173400323021
BaseRepresentation
bin10000000000011110111…
…101101011011101000111
310220011101001121110210020
4100000132331223131013
5121010330431104111
62201203004230223
7142321540120044
oct20003675533507
93804331543706
101100031113031
1139457a981744
1215923a23b373
137c96a37ca56
143b3556861cb
151d933599906
hex1001ef6b747

1100031113031 has 32 divisors (see below), whose sum is σ = 1539776189952. Its totient is φ = 697209870720.

The previous prime is 1100031112997. The next prime is 1100031113101. The reversal of 1100031113031 is 1303111300011.

It is not a de Polignac number, because 1100031113031 - 215 = 1100031080263 is a prime.

It is a super-3 number, since 3×11000311130313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1100031113031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100031111031) 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, 47772301 + ... + 47795321.

It is an arithmetic number, because the mean of its divisors is an integer number (48118005936).

Almost surely, 21100031113031 is an apocalyptic number.

1100031113031 is a deficient number, since it is larger than the sum of its proper divisors (439745076921).

1100031113031 is a wasteful number, since it uses less digits than its factorization.

1100031113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27223.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1100031113031 its reverse (1303111300011), we get a palindrome (2403142413042).

The spelling of 1100031113031 in words is "one trillion, one hundred billion, thirty-one million, one hundred thirteen thousand, thirty-one".

Divisors: 1 3 23 69 173 519 3979 4003 11937 12009 23021 69063 92069 276207 529483 692519 1588449 2077557 3982633 11947899 15927937 47783811 91600559 92153063 274801677 276459189 2119520449 6358561347 15942479899 47827439697 366677037677 1100031113031