Search a number
-
+
101342311434 = 23371320623181
BaseRepresentation
bin101111001100001111…
…0001111010000001010
3100200120201102211101000
41132120132033100022
53130022112431214
6114320033235430
710215233301630
oct1363036172012
9320521384330
10101342311434
1139a851025a1
1217783402b76
139730940370
144c95437350
152981ed6809
hex179878f40a

101342311434 has 64 divisors (see below), whose sum is σ = 277175566080. Its totient is φ = 26727641280.

The previous prime is 101342311391. The next prime is 101342311457. The reversal of 101342311434 is 434113243101.

101342311434 is a `hidden beast` number, since 1 + 0 + 1 + 342 + 311 + 4 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101342311398 and 101342311407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10306677 + ... + 10316504.

It is an arithmetic number, because the mean of its divisors is an integer number (4330868220).

Almost surely, 2101342311434 is an apocalyptic number.

101342311434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101342311434 is an abundant number, since it is smaller than the sum of its proper divisors (175833254646).

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

101342311434 is a wasteful number, since it uses less digits than its factorization.

101342311434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20623212 (or 20623206 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101342311434 its reverse (434113243101), we get a palindrome (535455554535).

The spelling of 101342311434 in words is "one hundred one billion, three hundred forty-two million, three hundred eleven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 20623181 41246362 61869543 123739086 144362267 185608629 268101353 288724534 371217258 433086801 536202706 556825887 804304059 866173602 1113651774 1299260403 1608608118 1876709471 2412912177 2598520806 3753418942 3897781209 4825824354 5630128413 7238736531 7795562418 11260256826 14477473062 16890385239 33780770478 50671155717 101342311434