Search a number
-
+
312100133103 = 34112171873159
BaseRepresentation
bin1001000101010101001…
…11100001100011101111
31002211120210110110220000
410202222213201203233
520103140113224403
6355213220555343
731356063234333
oct4425247414357
91084523413800
10312100133103
111103a7430400
12505a1852b53
132357a952695
141116a1877c3
1581b9b0d7a3
hex48aa9e18ef

312100133103 has 60 divisors (see below), whose sum is σ = 542605749840. Its totient is φ = 178024936320.

The previous prime is 312100133089. The next prime is 312100133113. The reversal of 312100133103 is 301331001213.

It is a happy number.

It is not a de Polignac number, because 312100133103 - 24 = 312100133087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312100133113) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 769963 + ... + 1103196.

It is an arithmetic number, because the mean of its divisors is an integer number (9043429164).

Almost surely, 2312100133103 is an apocalyptic number.

312100133103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

312100133103 is a deficient number, since it is larger than the sum of its proper divisors (230505616737).

312100133103 is a wasteful number, since it uses less digits than its factorization.

312100133103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873210 (or 1873190 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 312100133103 its reverse (301331001213), we get a palindrome (613431134316).

The spelling of 312100133103 in words is "three hundred twelve billion, one hundred million, one hundred thirty-three thousand, one hundred three".

Divisors: 1 3 9 11 17 27 33 51 81 99 121 153 187 297 363 459 561 891 1089 1377 1683 2057 3267 5049 6171 9801 15147 18513 55539 166617 1873159 5619477 16858431 20604749 31843703 50575293 61814247 95531109 151725879 185442741 226652239 286593327 350280733 556328223 679956717 859779981 1050842199 1668984669 2039870151 2579339943 3152526597 3853088063 6119610453 9457579791 11559264189 18358831359 28372739373 34677792567 104033377701 312100133103