Search a number
-
+
10133311212 = 22323741185551
BaseRepresentation
bin10010110111111111…
…00000111011101100
3222011012121112201200
421123333200323230
5131223111424322
64353304005500
7506053503243
oct113377407354
928135545650
1010133311212
11432aa98772
121b69760890
13c564c514b
146c1b4595a
153e49428ac
hex25bfe0eec

10133311212 has 72 divisors (see below), whose sum is σ = 26948830272. Its totient is φ = 3206304000.

The previous prime is 10133311189. The next prime is 10133311213. The reversal of 10133311212 is 21211333101.

10133311212 is a `hidden beast` number, since 10 + 133 + 311 + 212 = 666.

It is a super-2 number, since 2×101333112122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10133311213) 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, 38164 + ... + 147387.

Almost surely, 210133311212 is an apocalyptic number.

10133311212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10133311212 is an abundant number, since it is smaller than the sum of its proper divisors (16815519060).

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

10133311212 is a wasteful number, since it uses less digits than its factorization.

10133311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185639 (or 185634 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10133311212 its reverse (21211333101), we get a palindrome (31344644313).

The spelling of 10133311212 in words is "ten billion, one hundred thirty-three million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1476 1517 3034 4551 6068 9102 13653 18204 27306 54612 185551 371102 556653 742204 1113306 1669959 2226612 3339918 6679836 6865387 7607591 13730774 15215182 20596161 22822773 27461548 30430364 41192322 45645546 61788483 68468319 82384644 91291092 123576966 136936638 247153932 273873276 281480867 562961734 844442601 1125923468 1688885202 2533327803 3377770404 5066655606 10133311212