Search a number
-
+
12213211131110 = 2511537328697129
BaseRepresentation
bin1011000110111001110000…
…0111000110110011100110
31121020120102200102210012002
42301232130013012303212
53100100124022143420
641550401032325302
72400242520511523
oct261563407066346
947216380383162
1012213211131110
113989659316380
121453003843832
136a7915a643b2
143031a04a814a
15162a610ee075
hexb1b9c1c6ce6

12213211131110 has 64 divisors (see below), whose sum is σ = 24769525999680. Its totient is φ = 4297681889280.

The previous prime is 12213211131061. The next prime is 12213211131119. The reversal of 12213211131110 is 1113111231221.

It is a super-2 number, since 2×122132111311102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213211131119) 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 31 ways as a sum of consecutive naturals, for example, 13922975 + ... + 14774154.

It is an arithmetic number, because the mean of its divisors is an integer number (387023843745).

Almost surely, 212213211131110 is an apocalyptic number.

12213211131110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12213211131110 is an abundant number, since it is smaller than the sum of its proper divisors (12556314868570).

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

12213211131110 is a wasteful number, since it uses less digits than its factorization.

12213211131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28697273.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 12213211131110 its reverse (1113111231221), we get a palindrome (13326322362331).

It can be divided in two parts, 12213211 and 131110, that added together give a palindrome (12344321).

The spelling of 12213211131110 in words is "twelve trillion, two hundred thirteen billion, two hundred eleven million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 53 55 73 106 110 146 265 365 530 583 730 803 1166 1606 2915 3869 4015 5830 7738 8030 19345 38690 42559 85118 212795 425590 28697129 57394258 143485645 286971290 315668419 631336838 1520947837 1578342095 2094890417 3041895674 3156684190 4189780834 7604739185 10474452085 15209478370 16730426207 20948904170 23043794587 33460852414 46087589174 83652131035 111029192101 115218972935 167304262070 222058384202 230437945870 555145960505 1110291921010 1221321113111 2442642226222 6106605565555 12213211131110