Search a number
-
+
101311043401143 = 3337279136335527
BaseRepresentation
bin10111000010010001010000…
…110000001111010110110111
3111021201020111210202212221000
4113002101100300033112313
5101234340004102314033
6555245352324454343
730224324046161502
oct2702212060172667
9437636453685830
10101311043401143
112a30a854910074
12b44291354a3b3
13446b78a152674
141b036a2d28139
15baa4ecea8a13
hex5c2450c0f5b7

101311043401143 has 32 divisors (see below), whose sum is σ = 154202167147520. Its totient is φ = 65691724165920.

The previous prime is 101311043401049. The next prime is 101311043401219. The reversal of 101311043401143 is 341104340113101.

101311043401143 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 110 + 4 + 3 + 401 + 143 = 666.

It is not a de Polignac number, because 101311043401143 - 218 = 101311043138999 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311043409143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15379555 + ... + 20955972.

It is an arithmetic number, because the mean of its divisors is an integer number (4818817723360).

Almost surely, 2101311043401143 is an apocalyptic number.

101311043401143 is a deficient number, since it is larger than the sum of its proper divisors (52891123746377).

101311043401143 is a wasteful number, since it uses less digits than its factorization.

101311043401143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36338364 (or 36338358 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101311043401143 its reverse (341104340113101), we get a palindrome (442415383514244).

The spelling of 101311043401143 in words is "one hundred one trillion, three hundred eleven billion, forty-three million, four hundred one thousand, one hundred forty-three".

Divisors: 1 3 9 27 37 111 333 999 2791 8373 25119 75357 103267 309801 929403 2788209 36335527 109006581 327019743 981059229 1344414499 4033243497 12099730491 36299191473 101412455857 304237367571 912712102713 2738136308139 3752260866709 11256782600127 33770347800381 101311043401143