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101223636436 = 22136131911613
BaseRepresentation
bin101111001000101100…
…1100001110111010100
3100200021110010111212201
41132101121201313110
53124301222331221
6114300153454244
710212262466446
oct1362131416724
9320243114781
10101223636436
1139a2411628a
121774b711384
13971218b580
144c83784496
152976893891
hex1791661dd4

101223636436 has 24 divisors (see below), whose sum is σ = 193894966664. Its totient is φ = 45952721280.

The previous prime is 101223636419. The next prime is 101223636439. The reversal of 101223636436 is 634636322101.

It can be written as a sum of positive squares in 4 ways, for example, as 20428984900 + 80794651536 = 142930^2 + 284244^2 .

It is a super-3 number, since 3×1012236364363 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101223636395 and 101223636404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223636439) 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 7 ways as a sum of consecutive naturals, for example, 15952635 + ... + 15958978.

Almost surely, 2101223636436 is an apocalyptic number.

It is an amenable number.

101223636436 is a deficient number, since it is larger than the sum of its proper divisors (92671330228).

101223636436 is a wasteful number, since it uses less digits than its factorization.

101223636436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31911691 (or 31911689 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

Adding to 101223636436 its reverse (634636322101), we get a palindrome (735859958537).

The spelling of 101223636436 in words is "one hundred one billion, two hundred twenty-three million, six hundred thirty-six thousand, four hundred thirty-six".

Divisors: 1 2 4 13 26 52 61 122 244 793 1586 3172 31911613 63823226 127646452 414850969 829701938 1659403876 1946608393 3893216786 7786433572 25305909109 50611818218 101223636436