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101831094 = 23731751
BaseRepresentation
bin1100001000111…
…01000110110110
321002121120000000
412010131012312
5202032043334
614034332130
72344356441
oct604350666
9232546000
10101831094
1152532232
122a12a046
13181350b1
14d74a658
158e17299
hex611d1b6

101831094 has 64 divisors (see below), whose sum is σ = 236789760. Its totient is φ = 32805000.

The previous prime is 101831057. The next prime is 101831099. The reversal of 101831094 is 490138101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101831099) 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 31 ways as a sum of consecutive naturals, for example, 135219 + ... + 135969.

It is an arithmetic number, because the mean of its divisors is an integer number (3699840).

Almost surely, 2101831094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101831094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118394880).

101831094 is an abundant number, since it is smaller than the sum of its proper divisors (134958666).

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

101831094 is an frugal number, since it uses more digits than its factorization.

101831094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101831094 is about 10091.1393806646. The cubic root of 101831094 is about 466.9748269624.

Adding to 101831094 its reverse (490138101), we get a palindrome (591969195).

The spelling of 101831094 in words is "one hundred one million, eight hundred thirty-one thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 751 837 1458 1502 1674 2187 2253 2511 4374 4506 5022 6759 7533 13518 15066 20277 22599 23281 40554 45198 46562 60831 67797 69843 121662 135594 139686 182493 209529 364986 419058 547479 628587 1094958 1257174 1642437 1885761 3284874 3771522 5657283 11314566 16971849 33943698 50915547 101831094