Search a number
-
+
101434131 = 3237476481
BaseRepresentation
bin1100000101111…
…00001100010011
321001212101110200
412002330030103
5201431343011
614022030243
72341114221
oct602741423
9231771420
10101434131
1152290a67
1229b78383
13180264c6
14d685b11
158d89856
hex60bc313

101434131 has 24 divisors (see below), whose sum is σ = 153701184. Its totient is φ = 64385280.

The previous prime is 101434129. The next prime is 101434171. The reversal of 101434131 is 131434101.

101434131 is a `hidden beast` number, since 101 + 434 + 131 = 666.

It is not a de Polignac number, because 101434131 - 21 = 101434129 is a prime.

It is a super-4 number, since 4×1014341314 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101434171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12411 + ... + 18891.

It is an arithmetic number, because the mean of its divisors is an integer number (6404216).

Almost surely, 2101434131 is an apocalyptic number.

101434131 is a deficient number, since it is larger than the sum of its proper divisors (52267053).

101434131 is a wasteful number, since it uses less digits than its factorization.

101434131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6571 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 101434131 is about 10071.4512856887. The cubic root of 101434131 is about 466.3672419932.

Adding to 101434131 its reverse (131434101), we get a palindrome (232868232).

The spelling of 101434131 in words is "one hundred one million, four hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 37 47 111 141 333 423 1739 5217 6481 15651 19443 58329 239797 304607 719391 913821 2158173 2741463 11270459 33811377 101434131