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31020111144 = 233211227172541
BaseRepresentation
bin11100111000111100…
…010101010100101000
32222001211210220210100
4130320330111110220
51002012122024034
622130032345400
72145464410551
oct347074252450
988054726710
1031020111144
11121790536a0
1260186a5260
132c04824169
141703b0d328
15c1847e099
hex738f15528

31020111144 has 96 divisors (see below), whose sum is σ = 92054607840. Its totient is φ = 9358569600.

The previous prime is 31020111107. The next prime is 31020111181. The reversal of 31020111144 is 44111102013.

31020111144 is a `hidden beast` number, since 310 + 201 + 11 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (31020111107) and next prime (31020111181).

It is a super-2 number, since 2×310201111442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93514 + ... + 266054.

It is an arithmetic number, because the mean of its divisors is an integer number (958902165).

Almost surely, 231020111144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46027303920).

31020111144 is an abundant number, since it is smaller than the sum of its proper divisors (61034496696).

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

31020111144 is a wasteful number, since it uses less digits than its factorization.

31020111144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172791 (or 172784 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31020111144 its reverse (44111102013), we get a palindrome (75131213157).

The spelling of 31020111144 in words is "thirty-one billion, twenty million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 227 264 396 454 681 792 908 1362 1816 2043 2497 2724 4086 4994 5448 7491 8172 9988 14982 16344 19976 22473 29964 44946 59928 89892 172541 179784 345082 517623 690164 1035246 1380328 1552869 1897951 2070492 3105738 3795902 4140984 5693853 6211476 7591804 11387706 12422952 15183608 17081559 22775412 34163118 39166807 45550824 68326236 78333614 117500421 136652472 156667228 235000842 313334456 352501263 430834877 470001684 705002526 861669754 940003368 1292504631 1410005052 1723339508 2585009262 2820010104 3446679016 3877513893 5170018524 7755027786 10340037048 15510055572 31020111144