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112202210120 = 2357111319147487
BaseRepresentation
bin110100001111111000…
…1011101101101001000
3101201121120020211201212
41220133301131231020
53314242231210440
6123313414432252
711051322023060
oct1503761355510
9351546224655
10112202210120
114364824a180
12198b4362688
13a771823510
1456058783a0
152dba5ee465
hex1a1fc5db48

112202210120 has 256 divisors, whose sum is σ = 356802969600. Its totient is φ = 30582696960.

The previous prime is 112202210039. The next prime is 112202210129. The reversal of 112202210120 is 21012202211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112202210095 and 112202210104.

It is not an unprimeable number, because it can be changed into a prime (112202210129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 687017 + ... + 834503.

It is an arithmetic number, because the mean of its divisors is an integer number (1393761600).

Almost surely, 2112202210120 is an apocalyptic number.

112202210120 is a gapful number since it is divisible by the number (10) 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 112202210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178401484800).

112202210120 is an abundant number, since it is smaller than the sum of its proper divisors (244600759480).

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

112202210120 is a wasteful number, since it uses less digits than its factorization.

112202210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147548 (or 147544 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112202210120 its reverse (21012202211), we get a palindrome (133214412331).

The spelling of 112202210120 in words is "one hundred twelve billion, two hundred two million, two hundred ten thousand, one hundred twenty".