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101120340 = 223514911311
BaseRepresentation
bin1100000011011…
…11100101010100
321001021110000210
412001233211110
5201341322330
614011205420
72335336326
oct601574524
9231243023
10101120340
1152097232
1229a46870
1317c46729
14d603616
158d268b0
hex606f954

101120340 has 48 divisors (see below), whose sum is σ = 285062400. Its totient is φ = 26782080.

The previous prime is 101120329. The next prime is 101120347. The reversal of 101120340 is 43021101.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3285 + ... + 14595.

It is an arithmetic number, because the mean of its divisors is an integer number (5938800).

Almost surely, 2101120340 is an apocalyptic number.

101120340 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 101120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142531200).

101120340 is an abundant number, since it is smaller than the sum of its proper divisors (183942060).

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

101120340 is a wasteful number, since it uses less digits than its factorization.

101120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11472 (or 11470 counting only the distinct ones).

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

The square root of 101120340 is about 10055.8609775593. The cubic root of 101120340 is about 465.8858359593.

Adding to 101120340 its reverse (43021101), we get a palindrome (144141441).

The spelling of 101120340 in words is "one hundred one million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 11311 22622 33933 45244 56555 67866 113110 135732 169665 226220 339330 678660 1685339 3370678 5056017 6741356 8426695 10112034 16853390 20224068 25280085 33706780 50560170 101120340