Search a number
-
+
102161274000 = 2435317026879
BaseRepresentation
bin101111100100101001…
…0010101010010010000
3100202200210110102210220
41133021102111102100
53133211241232000
6114533210353040
710244436333612
oct1371122252220
9322623412726
10102161274000
113a365415265
121797172b780
1398315023b6
144d320dadb2
1529cdd571a0
hex17c9495490

102161274000 has 80 divisors (see below), whose sum is σ = 329367966720. Its totient is φ = 27243004800.

The previous prime is 102161273953. The next prime is 102161274001. The reversal of 102161274000 is 472161201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102161274001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8507440 + ... + 8519439.

It is an arithmetic number, because the mean of its divisors is an integer number (4117099584).

Almost surely, 2102161274000 is an apocalyptic number.

102161274000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102161274000 is an abundant number, since it is smaller than the sum of its proper divisors (227206692720).

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

102161274000 is a wasteful number, since it uses less digits than its factorization.

102161274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17026905 (or 17026889 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 102161274000 in words is "one hundred two billion, one hundred sixty-one million, two hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 17026879 34053758 51080637 68107516 85134395 102161274 136215032 170268790 204322548 255403185 272430064 340537580 408645096 425671975 510806370 681075160 817290192 851343950 1021612740 1277015925 1362150320 1702687900 2043225480 2128359875 2554031850 3405375800 4086450960 4256719750 5108063700 6385079625 6810751600 8513439500 10216127400 12770159250 17026879000 20432254800 25540318500 34053758000 51080637000 102161274000