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101112210010 = 2572630132749
BaseRepresentation
bin101111000101011000…
…0011110001001011010
3100122222200110110120001
41132022300132021122
53124034211210020
6114241133323214
710206440414200
oct1361260361132
9318880413501
10101112210010
113997722aa29
121771a33650a
1396c5076b86
144c72a5b070
15296bbd350a
hex178ac1e25a

101112210010 has 48 divisors (see below), whose sum is σ = 211756653000. Its totient is φ = 34660483200.

The previous prime is 101112209987. The next prime is 101112210019. The reversal of 101112210010 is 10012211101.

It can be written as a sum of positive squares in 4 ways, for example, as 75053533681 + 26058676329 = 273959^2 + 161427^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101112210019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3071116 + ... + 3103864.

Almost surely, 2101112210010 is an apocalyptic number.

101112210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112210010 is an abundant number, since it is smaller than the sum of its proper divisors (110644442990).

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

101112210010 is a wasteful number, since it uses less digits than its factorization.

101112210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39071 (or 39064 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101112210010 its reverse (10012211101), we get a palindrome (111124421111).

The spelling of 101112210010 in words is "one hundred one billion, one hundred twelve million, two hundred ten thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 6301 12602 31505 32749 44107 63010 65498 88214 163745 220535 229243 308749 327490 441070 458486 617498 1146215 1543745 1604701 2292430 3087490 3209402 8023505 16047010 206351449 412702898 1031757245 1444460143 2063514490 2888920286 7222300715 10111221001 14444601430 20222442002 50556105005 101112210010