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112102122210 = 23513563510553
BaseRepresentation
bin110100001100111001…
…1101010001011100010
3101201100120220211221020
41220121303222023202
53314041120402320
6123255441310310
711045665213431
oct1503163521342
9351316824836
10112102122210
11435a67a86a1
1219886935396
13a756b7b9c0
1455d6463118
152db192d940
hex1a19cea2e2

112102122210 has 64 divisors (see below), whose sum is σ = 290256075648. Its totient is φ = 27545301504.

The previous prime is 112102122179. The next prime is 112102122247. The reversal of 112102122210 is 12221201211.

112102122210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 112102122210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35707 + ... + 474846.

It is an arithmetic number, because the mean of its divisors is an integer number (4535251182).

Almost surely, 2112102122210 is an apocalyptic number.

112102122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145128037824).

112102122210 is an abundant number, since it is smaller than the sum of its proper divisors (178153953438).

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

112102122210 is a wasteful number, since it uses less digits than its factorization.

112102122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511139.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112102122210 its reverse (12221201211), we get a palindrome (124323323421).

The spelling of 112102122210 in words is "one hundred twelve billion, one hundred two million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 563 1126 1689 2815 3378 5630 7319 8445 14638 16890 21957 36595 43914 73190 109785 219570 510553 1021106 1531659 2552765 3063318 5105530 6637189 7658295 13274378 15316590 19911567 33185945 39823134 66371890 99557835 199115670 287441339 574882678 862324017 1437206695 1724648034 2874413390 3736737407 4311620085 7473474814 8623240170 11210212221 18683687035 22420424442 37367374070 56051061105 112102122210