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122131005 = 3541712797
BaseRepresentation
bin1110100011110…
…01001000111101
322111210220020120
413101321020331
5222231143010
620041405153
73012045033
oct721711075
9274726216
10122131005
1162a37917
1234a997b9
131c3c1b89
1412312553
15aac6e70
hex747923d

122131005 has 32 divisors (see below), whose sum is σ = 203067648. Its totient is φ = 62630400.

The previous prime is 122130997. The next prime is 122131019. The reversal of 122131005 is 500131221.

It is not a de Polignac number, because 122131005 - 23 = 122130997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 42267 + ... + 45063.

It is an arithmetic number, because the mean of its divisors is an integer number (6345864).

Almost surely, 2122131005 is an apocalyptic number.

122131005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122131005 is a deficient number, since it is larger than the sum of its proper divisors (80936643).

122131005 is a wasteful number, since it uses less digits than its factorization.

122131005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 122131005 is about 11051.2897437358. The cubic root of 122131005 is about 496.1450281006.

Adding to 122131005 its reverse (500131221), we get a palindrome (622262226).

The spelling of 122131005 in words is "one hundred twenty-two million, one hundred thirty-one thousand, five".

Divisors: 1 3 5 15 41 71 123 205 213 355 615 1065 2797 2911 8391 8733 13985 14555 41955 43665 114677 198587 344031 573385 595761 992935 1720155 2978805 8142067 24426201 40710335 122131005