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101423060874 = 2345376915361
BaseRepresentation
bin101111001110101001…
…0010001011110001010
3100200210100101022210000
41132131102101132022
53130203300421444
6114332040103430
710220233536012
oct1363522213612
9320710338700
10101423060874
113a016745873
12177a6464b76
1397445a38b5
144ca2056c42
152989137469
hex179d49178a

101423060874 has 80 divisors (see below), whose sum is σ = 231866961480. Its totient is φ = 33124515840.

The previous prime is 101423060867. The next prime is 101423060897. The reversal of 101423060874 is 478060324101.

101423060874 is a `hidden beast` number, since 1 + 0 + 1 + 42 + 3 + 0 + 608 + 7 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97683126849 + 3739934025 = 312543^2 + 61155^2 .

It is a super-2 number, since 2×1014230608742 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6594954 + ... + 6610314.

Almost surely, 2101423060874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101423060874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115933480740).

101423060874 is an abundant number, since it is smaller than the sum of its proper divisors (130443900606).

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

101423060874 is a wasteful number, since it uses less digits than its factorization.

101423060874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16197 (or 16188 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 101423060874 its reverse (478060324101), we get a palindrome (579483384975).

The spelling of 101423060874 in words is "one hundred one billion, four hundred twenty-three million, sixty thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 769 954 1431 1538 2307 2862 4293 4614 6921 8586 13842 15361 20763 30722 40757 41526 46083 62289 81514 92166 122271 124578 138249 244542 276498 366813 414747 733626 814133 829494 1100439 1244241 1628266 2200878 2442399 2488482 3301317 4884798 6602634 7327197 11812609 14654394 21981591 23625218 35437827 43963182 65944773 70875654 106313481 131889546 212626962 318940443 626068277 637880886 956821329 1252136554 1878204831 1913642658 3756409662 5634614493 11269228986 16903843479 33807686958 50711530437 101423060874