Search a number
-
+
12100404312 = 23321136312357
BaseRepresentation
bin10110100010011110…
…11000010001011000
31011020022001020011200
423101033120101120
5144240200414222
65320413354200
7605600511453
oct132117302130
934208036150
1012100404312
11514a3a9947
122418498960
1311aabba369
1482b0b649a
154ac4a4eac
hex2d13d8458

12100404312 has 96 divisors (see below), whose sum is σ = 33128390880. Its totient is φ = 3989744640.

The previous prime is 12100404271. The next prime is 12100404319. The reversal of 12100404312 is 21340400121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100404319) 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, 5132638 + ... + 5134994.

It is an arithmetic number, because the mean of its divisors is an integer number (345087405).

Almost surely, 212100404312 is an apocalyptic number.

12100404312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100404312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16564195440).

12100404312 is an abundant number, since it is smaller than the sum of its proper divisors (21027986568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12100404312 is a wasteful number, since it uses less digits than its factorization.

12100404312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12100404312 its reverse (21340400121), we get a palindrome (33440804433).

The spelling of 12100404312 in words is "twelve billion, one hundred million, four hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 631 678 904 1017 1262 1356 1893 2034 2357 2524 2712 3786 4068 4714 5048 5679 7071 7572 8136 9428 11358 14142 15144 18856 21213 22716 28284 42426 45432 56568 71303 84852 142606 169704 213909 266341 285212 427818 532682 570424 641727 799023 855636 1065364 1283454 1487267 1598046 1711272 2130728 2397069 2566908 2974534 3196092 4461801 4794138 5133816 5949068 6392184 8923602 9588276 11898136 13385403 17847204 19176552 26770806 35694408 53541612 107083224 168061171 336122342 504183513 672244684 1008367026 1344489368 1512550539 2016734052 3025101078 4033468104 6050202156 12100404312