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31102203100 = 22522356324019
BaseRepresentation
bin11100111101110101…
…011111010011011100
32222021120021121210011
4130331311133103130
51002144130444400
622142124053004
72150512235653
oct347565372334
988246247704
1031102203100
1112210423591
126040094164
132c18837797
14171099c19a
15c207978ba
hex73dd5f4dc

31102203100 has 72 divisors (see below), whose sum is σ = 70554234240. Its totient is φ = 11878342080.

The previous prime is 31102203091. The next prime is 31102203109. The reversal of 31102203100 is 130220113.

It is an interprime number because it is at equal distance from previous prime (31102203091) and next prime (31102203109).

It is a super-2 number, since 2×311022031002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31102203109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282891 + ... + 1306909.

It is an arithmetic number, because the mean of its divisors is an integer number (979919920).

Almost surely, 231102203100 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 31102203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35277117120).

31102203100 is an abundant number, since it is smaller than the sum of its proper divisors (39452031140).

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

31102203100 is a wasteful number, since it uses less digits than its factorization.

31102203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24619 (or 24612 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31102203100 its reverse (130220113), we get a palindrome (31232423213).

The spelling of 31102203100 in words is "thirty-one billion, one hundred two million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 563 575 1126 1150 2252 2300 2815 5630 11260 12949 14075 24019 25898 28150 48038 51796 56300 64745 96076 120095 129490 240190 258980 323725 480380 552437 600475 647450 1104874 1200950 1294900 2209748 2401900 2762185 5524370 11048740 13522697 13810925 27045394 27621850 54090788 55243700 67613485 135226970 270453940 311022031 338067425 622044062 676134850 1244088124 1352269700 1555110155 3110220310 6220440620 7775550775 15551101550 31102203100