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1120144431 = 37145136761
BaseRepresentation
bin100001011000100…
…0000110000101111
32220001202020021210
41002301000300233
54243224110211
6303052325503
736521033130
oct10261006057
92801666253
101120144431
115253240aa
12273173893
1314b0b4a73
14a8aa3c87
15685149a6
hex42c40c2f

1120144431 has 16 divisors (see below), whose sum is σ = 1708109568. Its totient is φ = 639624000.

The previous prime is 1120144429. The next prime is 1120144489. The reversal of 1120144431 is 1344410211.

It is not a de Polignac number, because 1120144431 - 21 = 1120144429 is a prime.

It is a super-2 number, since 2×11201444312 = 2509447092600627522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1120144398 and 1120144407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120140431) 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, 12091 + ... + 48851.

It is an arithmetic number, because the mean of its divisors is an integer number (106756848).

Almost surely, 21120144431 is an apocalyptic number.

1120144431 is a deficient number, since it is larger than the sum of its proper divisors (587965137).

1120144431 is a wasteful number, since it uses less digits than its factorization.

1120144431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38222.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1120144431 is about 33468.5588425914. The cubic root of 1120144431 is about 1038.5434587560.

Adding to 1120144431 its reverse (1344410211), we get a palindrome (2464554642).

The spelling of 1120144431 in words is "one billion, one hundred twenty million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 21 1451 4353 10157 30471 36761 110283 257327 771981 53340211 160020633 373381477 1120144431