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2113443112 = 2311219151761
BaseRepresentation
bin111110111111000…
…1001010100101000
312110021211000220211
41331332021110220
513312020134422
6545414230504
7103241653504
oct17576112450
95407730824
102113443112
11994a90100
124ab955434
13278b16971
14160989304
15c5820577
hex7df89528

2113443112 has 96 divisors (see below), whose sum is σ = 4621377600. Its totient is φ = 902880000.

The previous prime is 2113443103. The next prime is 2113443133.

2113443112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2776812 + ... + 2777572.

It is an arithmetic number, because the mean of its divisors is an integer number (48139350).

Almost surely, 22113443112 is an apocalyptic number.

2113443112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113443112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310688800).

2113443112 is an abundant number, since it is smaller than the sum of its proper divisors (2507934488).

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

2113443112 is a wasteful number, since it uses less digits than its factorization.

2113443112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 944 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 2113443112 is about 45972.1993382957. The cubic root of 2113443112 is about 1283.3058896626.

It can be divided in two parts, 21134 and 43112, that added together give a palindrome (64246).

The spelling of 2113443112 in words is "two billion, one hundred thirteen million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 151 152 209 242 302 418 484 604 761 836 968 1208 1522 1661 1672 2299 2869 3044 3322 4598 5738 6088 6644 8371 9196 11476 13288 14459 16742 18271 18392 22952 28918 31559 33484 36542 57836 63118 66968 73084 92081 114911 115672 126236 146168 159049 184162 229822 252472 318098 347149 368324 459644 636196 694298 736648 919288 1264021 1272392 1388596 1749539 2183309 2528042 2777192 3499078 4366618 5056084 6998156 8733236 10112168 13904231 13996312 17466472 24016399 27808462 48032798 55616924 96065596 111233848 192131192 264180389 528360778 1056721556 2113443112