Search a number
-
+
31112022210 = 2354127193337
BaseRepresentation
bin11100111110011010…
…111100100011000010
32222022020202111001220
4130332122330203002
51002204134202320
622143114335510
72150661553053
oct347632744302
988266674056
1031112022210
1112215a1a855
12604342a596
132c1a894bc9
141711dd672a
15c21586e40
hex73e6bc8c2

31112022210 has 64 divisors (see below), whose sum is σ = 76773118464. Its totient is φ = 8064230400.

The previous prime is 31112022199. The next prime is 31112022223. The reversal of 31112022210 is 1222021113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31112022210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286662 + ... + 379998.

It is an arithmetic number, because the mean of its divisors is an integer number (1199579976).

Almost surely, 231112022210 is an apocalyptic number.

31112022210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38386559232).

31112022210 is an abundant number, since it is smaller than the sum of its proper divisors (45661096254).

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

31112022210 is a wasteful number, since it uses less digits than its factorization.

31112022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93659.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31112022210 its reverse (1222021113), we get a palindrome (32334043323).

The spelling of 31112022210 in words is "thirty-one billion, one hundred twelve million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 22222 33333 55555 66666 93337 111110 166665 186674 280011 333330 466685 560022 933370 1400055 2800110 3826817 7653634 11480451 19134085 22960902 25294327 38268170 50588654 57402255 75882981 114804510 126471635 151765962 252943270 379414905 758829810 1037067407 2074134814 3111202221 5185337035 6222404442 10370674070 15556011105 31112022210