Search a number
-
+
212232121332 = 2237111012274143
BaseRepresentation
bin1100010110101000000…
…1010010101111110100
3202021210211011211110020
43011222001102233310
511434122410340312
6241255330525140
721222211160220
oct3055201225764
9667724154406
10212232121332
1182009554a90
12351701367b0
13170235a66aa
14a3b4883780
1557c229678c
hex316a052bf4

212232121332 has 96 divisors (see below), whose sum is σ = 623515705344. Its totient is φ = 54579408000.

The previous prime is 212232121271. The next prime is 212232121337. The reversal of 212232121332 is 233121232212.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212232121337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043748 + ... + 1230395.

It is an arithmetic number, because the mean of its divisors is an integer number (6494955264).

Almost surely, 2212232121332 is an apocalyptic number.

212232121332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212232121332 is an abundant number, since it is smaller than the sum of its proper divisors (411283584012).

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

212232121332 is a wasteful number, since it uses less digits than its factorization.

212232121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274269 (or 2274267 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 212232121332 its reverse (233121232212), we get a palindrome (445353353544).

The spelling of 212232121332 in words is "two hundred twelve billion, two hundred thirty-two million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 462 606 707 924 1111 1212 1414 2121 2222 2828 3333 4242 4444 6666 7777 8484 13332 15554 23331 31108 46662 93324 2274143 4548286 6822429 9096572 13644858 15919001 25015573 27289716 31838002 47757003 50031146 63676004 75046719 95514006 100062292 150093438 175109011 191028012 229688443 300186876 350218022 459376886 525327033 689065329 700436044 918753772 1050654066 1378130658 1607819101 2101308132 2526572873 2756261316 3215638202 4823457303 5053145746 6431276404 7579718619 9646914606 10106291492 15159437238 17686010111 19293829212 30318874476 35372020222 53058030333 70744040444 106116060666 212232121332