Search a number
-
+
212112131001 = 31492513495417
BaseRepresentation
bin1100010110001011011…
…1100100001110111001
3202021111110101200122220
43011202313210032321
511433401201143001
6241235403034253
721216223236201
oct3054267441671
9667443350586
10212112131001
1181a5784a521
1235137b0b989
1317004783cb4
14a3a296b401
1557b6993c36
hex3162de43b9

212112131001 has 32 divisors (see below), whose sum is σ = 286720560000. Its totient is φ = 139472832000.

The previous prime is 212112130981. The next prime is 212112131081. The reversal of 212112131001 is 100131211212.

It is not a de Polignac number, because 212112131001 - 211 = 212112128953 is a prime.

It is a super-2 number, since 2×2121121310012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212112131081) 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, 39154045 + ... + 39159461.

It is an arithmetic number, because the mean of its divisors is an integer number (8960017500).

Almost surely, 2212112131001 is an apocalyptic number.

It is an amenable number.

212112131001 is a deficient number, since it is larger than the sum of its proper divisors (74608428999).

212112131001 is a wasteful number, since it uses less digits than its factorization.

212112131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 212112131001 its reverse (100131211212), we get a palindrome (312243342213).

The spelling of 212112131001 in words is "two hundred twelve billion, one hundred twelve million, one hundred thirty-one thousand, one".

Divisors: 1 3 149 251 349 447 753 1047 5417 16251 37399 52001 87599 112197 156003 262797 807133 1359667 1890533 2421399 4079001 5671599 13052251 39156753 202590383 281689417 474523783 607771149 845068251 1423571349 70704043667 212112131001