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101120001210 = 2335374518523
BaseRepresentation
bin101111000101100111…
…0001100010010111010
3100200000020010022002000
41132023032030102322
53124043210014320
6114242012321430
710206563554104
oct1361316142272
9320006108060
10101120001210
1139980671638
1217720a73276
1396c6874257
144c73ac8574
15296c721c90
hex178b38c4ba

101120001210 has 32 divisors (see below), whose sum is σ = 269653337280. Its totient is φ = 26965333584.

The previous prime is 101120001209. The next prime is 101120001217. The reversal of 101120001210 is 12100021101.

It is a happy number.

It is a super-3 number, since 3×1011200012103 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101120001192 and 101120001201.

It is not an unprimeable number, because it can be changed into a prime (101120001217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187258992 + ... + 187259531.

It is an arithmetic number, because the mean of its divisors is an integer number (8426666790).

Almost surely, 2101120001210 is an apocalyptic number.

101120001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120001210 is an abundant number, since it is smaller than the sum of its proper divisors (168533336070).

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

101120001210 is a wasteful number, since it uses less digits than its factorization.

101120001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374518539 (or 374518533 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101120001210 its reverse (12100021101), we get a palindrome (113220022311).

The spelling of 101120001210 in words is "one hundred one billion, one hundred twenty million, one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 374518523 749037046 1123555569 1872592615 2247111138 3370666707 3745185230 5617777845 6741333414 10112000121 11235555690 16853333535 20224000242 33706667070 50560000605 101120001210