Search a number
-
+
112131000021221 is a prime number
BaseRepresentation
bin11001011111101110001000…
…011011001011000011100101
3112201000121201012001012220222
4121133232020123023003211
5104144123242001134341
61034252134213534125
732422124466032006
oct3137561033130345
9481017635035828
10112131000021221
1132801543298925
12106ab8a5044345
134a74ba595408c
141d99252a111ad
15ce6bb823b44b
hex65fb886cb0e5

112131000021221 has 2 divisors, whose sum is σ = 112131000021222. Its totient is φ = 112131000021220.

The previous prime is 112131000021211. The next prime is 112131000021269. The reversal of 112131000021221 is 122120000131211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85728821748196 + 26402178273025 = 9258986^2 + 5138305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112131000021221 is a prime.

It is a super-2 number, since 2×1121310000212212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112131000021221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112131000021211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56065500010610 + 56065500010611.

It is an arithmetic number, because the mean of its divisors is an integer number (56065500010611).

Almost surely, 2112131000021221 is an apocalyptic number.

It is an amenable number.

112131000021221 is a deficient number, since it is larger than the sum of its proper divisors (1).

112131000021221 is an equidigital number, since it uses as much as digits as its factorization.

112131000021221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 112131000021221 its reverse (122120000131211), we get a palindrome (234251000152432).

The spelling of 112131000021221 in words is "one hundred twelve trillion, one hundred thirty-one billion, twenty-one thousand, two hundred twenty-one".