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223121100231131 = 915192831262651
BaseRepresentation
bin110010101110110101101101…
…111010111101000111011011
31002021000011120002210222112212
4302232311231322331013123
5213221104003124344011
62110312230213225335
764665652601514044
oct6256655572750733
91067004502728485
10223121100231131
1165103144364103
122103644503224b
1397662ca1bbabb
143d1519427d8cb
151abdd59eee08b
hexcaed6debd1db

223121100231131 has 8 divisors (see below), whose sum is σ = 223148735766528. Its totient is φ = 223093465425000.

The previous prime is 223121100231109. The next prime is 223121100231157. The reversal of 223121100231131 is 131132001121322.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223121100231131 is a prime.

It is a super-3 number, since 3×2231211002311313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223121100231097 and 223121100231106.

It is not an unprimeable number, because it can be changed into a prime (223121100231181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849365156 + ... + 849627806.

It is an arithmetic number, because the mean of its divisors is an integer number (27893591970816).

Almost surely, 2223121100231131 is an apocalyptic number.

223121100231131 is a deficient number, since it is larger than the sum of its proper divisors (27635535397).

223121100231131 is an equidigital number, since it uses as much as digits as its factorization.

223121100231131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364633.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 223121100231131 its reverse (131132001121322), we get a palindrome (354253101352453).

The spelling of 223121100231131 in words is "two hundred twenty-three trillion, one hundred twenty-one billion, one hundred million, two hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 9151 92831 262651 849496481 2403519301 24382154981 223121100231131