Search a number
-
+
101322004 = 2272516949
BaseRepresentation
bin1100000101000…
…00110100010100
321001122200122211
412002200310110
5201414301004
614015403204
72340136300
oct602406424
9231580584
10101322004
11522147a3
1229b23504
1317cb7464
14d656d00
158d66504
hex60a0d14

101322004 has 18 divisors (see below), whose sum is σ = 206263050. Its totient is φ = 43423632.

The previous prime is 101321959. The next prime is 101322019. The reversal of 101322004 is 400223101.

It can be written as a sum of positive squares in only one way, i.e., 67076100 + 34245904 = 8190^2 + 5852^2 .

It is a super-2 number, since 2×1013220042 = 20532296989152032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 258279 + ... + 258670.

Almost surely, 2101322004 is an apocalyptic number.

101322004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101322004 is an abundant number, since it is smaller than the sum of its proper divisors (104941046).

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

101322004 is a wasteful number, since it uses less digits than its factorization.

101322004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516967 (or 516958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 101322004 is about 10065.8831703929. The cubic root of 101322004 is about 466.1953352285.

Adding to 101322004 its reverse (400223101), we get a palindrome (501545105).

The spelling of 101322004 in words is "one hundred one million, three hundred twenty-two thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 516949 1033898 2067796 3618643 7237286 14474572 25330501 50661002 101322004