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122001131 = 72231031051
BaseRepresentation
bin1110100010110…
…01011011101011
322111120022002102
413101121123223
5222213014011
620034524015
73010664300
oct721313353
9274508072
10122001131
116295928a
1234a3660b
131c377a25
14122bb0a7
15aa9d73b
hex74596eb

122001131 has 24 divisors (see below), whose sum is σ = 149670144. Its totient is φ = 98960400.

The previous prime is 122001107. The next prime is 122001133. The reversal of 122001131 is 131100221.

It is not a de Polignac number, because 122001131 - 210 = 122000107 is a prime.

It is a super-2 number, since 2×1220011312 = 29768551930558322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122001133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115556 + ... + 116606.

It is an arithmetic number, because the mean of its divisors is an integer number (6236256).

Almost surely, 2122001131 is an apocalyptic number.

122001131 is a deficient number, since it is larger than the sum of its proper divisors (27669013).

122001131 is a wasteful number, since it uses less digits than its factorization.

122001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 122001131 is about 11045.4122150330. The cubic root of 122001131 is about 495.9690990006.

Adding to 122001131 its reverse (131100221), we get a palindrome (253101352).

It can be divided in two parts, 12200 and 1131, that added together give a palindrome (13331).

The spelling of 122001131 in words is "one hundred twenty-two million, one thousand, one hundred thirty-one".

Divisors: 1 7 23 49 103 161 721 1051 1127 2369 5047 7357 16583 24173 51499 108253 116081 169211 757771 1184477 2489819 5304397 17428733 122001131