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874223130001 = 13271210132
BaseRepresentation
bin11001011100010111100…
…00100101010110010001
310002120112010001102010111
430232023300211112101
5103310402110130001
61505340151401321
7120106030666024
oct14561360452621
93076463042114
10874223130001
11307835190951
1212151b683241
136459230aa00
1430453bb51bb
1517b19550851
hexcb8bc25591

874223130001 has 27 divisors (see below), whose sum is σ = 961113562257. Its totient is φ = 794823949920.

The previous prime is 874223129971. The next prime is 874223130007. The reversal of 874223130001 is 100031322478.

The square root of 874223130001 is 934999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 716137370001 + 158085760000 = 846249^2 + 397600^2 .

It is not a de Polignac number, because 874223130001 - 29 = 874223129489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (874223130007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 863003571 + ... + 863004583.

Almost surely, 2874223130001 is an apocalyptic number.

874223130001 is the 934999-th square number.

874223130001 is the 467500-th centered octagonal number.

It is an amenable number.

874223130001 is a deficient number, since it is larger than the sum of its proper divisors (86890432256).

874223130001 is an frugal number, since it uses more digits than its factorization.

874223130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 874223130001 its reverse (100031322478), we get a palindrome (974254452479).

The spelling of 874223130001 in words is "eight hundred seventy-four billion, two hundred twenty-three million, one hundred thirty thousand, one".

Divisors: 1 13 71 169 923 1013 5041 11999 13169 65533 71923 171197 851929 934999 1026169 5106533 12154987 13340197 66384929 72857999 173422561 863004077 947153987 5172917929 12313001831 67247933077 874223130001