Search a number
-
+
12103170431 = 117989156491
BaseRepresentation
bin10110100010110011…
…11011100101111111
31011020111020202120112
423101121323211333
5144241402423211
65320552540235
7605633152112
oct132131734577
934214222515
1012103170431
115150a190a0
1224193b167b
1311ab648411
1482b5d6579
154ac84e88b
hex2d167b97f

12103170431 has 16 divisors (see below), whose sum is σ = 13520908800. Its totient is φ = 10741473600.

The previous prime is 12103170421. The next prime is 12103170437. The reversal of 12103170431 is 13407130121.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-12103170431 is a prime.

It is a super-2 number, since 2×121031704312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12103170397 and 12103170406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103170437) 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, 905 + ... + 155586.

It is an arithmetic number, because the mean of its divisors is an integer number (845056800).

Almost surely, 212103170431 is an apocalyptic number.

12103170431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12103170431 is a deficient number, since it is larger than the sum of its proper divisors (1417738369).

12103170431 is a wasteful number, since it uses less digits than its factorization.

12103170431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156670.

The product of its (nonzero) digits is 504, while the sum is 23.

The spelling of 12103170431 in words is "twelve billion, one hundred three million, one hundred seventy thousand, four hundred thirty-one".

Divisors: 1 11 79 89 869 979 7031 77341 156491 1721401 12362789 13927699 135990679 153204689 1100288221 12103170431