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141132224113101 = 3213292789101981
BaseRepresentation
bin100000000101101111101000…
…000101011010100111001101
3200111201002221100122212022100
4200011233220011122213031
5121444302243333104401
61220055125415105313
741504316036331164
oct4005575005324715
9614632840585270
10141132224113101
1140a72927225371
12139b4454372239
1360999335a5a00
1426bcb9c3563db
15114b28de97b86
hex805be815a9cd

141132224113101 has 18 divisors (see below), whose sum is σ = 220745273615178. Its totient is φ = 86850599453280.

The previous prime is 141132224113099. The next prime is 141132224113121. The reversal of 141132224113101 is 101311422231141.

141132224113101 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 322 + 24 + 1 + 1 + 310 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6282091088100 + 134850133025001 = 2506410^2 + 11612499^2 .

It is not a de Polignac number, because 141132224113101 - 21 = 141132224113099 is a prime.

It is a super-3 number, since 3×1411322241131013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141132224113121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46394549470 + ... + 46394552511.

Almost surely, 2141132224113101 is an apocalyptic number.

It is an amenable number.

141132224113101 is a deficient number, since it is larger than the sum of its proper divisors (79613049502077).

141132224113101 is a wasteful number, since it uses less digits than its factorization.

141132224113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92789102013 (or 92789101997 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 141132224113101 its reverse (101311422231141), we get a palindrome (242443646344242).

The spelling of 141132224113101 in words is "one hundred forty-one trillion, one hundred thirty-two billion, two hundred twenty-four million, one hundred thirteen thousand, one hundred one".

Divisors: 1 3 9 13 39 117 169 507 1521 92789101981 278367305943 835101917829 1206258325753 3618774977259 10856324931777 15681358234789 47044074704367 141132224113101