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101134020 = 2235131729263
BaseRepresentation
bin1100000011100…
…10111011000100
321001022010210110
412001302323010
5201342242040
614011353020
72335424241
oct601627304
9231263713
10101134020
11520a6539
1229a52770
1317c4ca20
14d6085c8
158d2a980
hex6072ec4

101134020 has 192 divisors, whose sum is σ = 335301120. Its totient is φ = 22536192.

The previous prime is 101134001. The next prime is 101134051. The reversal of 101134020 is 20431101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101133987 and 101134005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384409 + ... + 384671.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 2101134020 is an apocalyptic number.

101134020 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 101134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

101134020 is an abundant number, since it is smaller than the sum of its proper divisors (234167100).

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

101134020 is a wasteful number, since it uses less digits than its factorization.

101134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101134020 is about 10056.5411548902. The cubic root of 101134020 is about 465.9068440337.

Adding to 101134020 its reverse (20431101), we get a palindrome (121565121).

The spelling of 101134020 in words is "one hundred one million, one hundred thirty-four thousand, twenty".