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221321102103123 = 31129795372907647
BaseRepresentation
bin110010010100101001010101…
…101011000001001001010011
31002000122002110010202220222020
4302110221111223001021103
5213002111104114244443
62102413302150342523
764421631142050501
oct6224512553011123
91060562403686866
10221321102103123
1164579830342a20
12209a561935aa43
13966564b4809a9
143c91dd9c3b671
151a8c10a715583
hexc94a55ac1253

221321102103123 has 32 divisors (see below), whose sum is σ = 333026649538560. Its totient is φ = 129507018063360.

The previous prime is 221321102103107. The next prime is 221321102103131. The reversal of 221321102103123 is 321301201123122.

It is not a de Polignac number, because 221321102103123 - 24 = 221321102103107 is a prime.

It is a super-2 number, since 2×2213211021031232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221321102103093 and 221321102103102.

It is not an unprimeable number, because it can be changed into a prime (221321602103123) 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, 74663086 + ... + 77570732.

It is an arithmetic number, because the mean of its divisors is an integer number (10407082798080).

Almost surely, 2221321102103123 is an apocalyptic number.

221321102103123 is a deficient number, since it is larger than the sum of its proper divisors (111705547435437).

221321102103123 is a wasteful number, since it uses less digits than its factorization.

221321102103123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987227.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 221321102103123 its reverse (321301201123122), we get a palindrome (542622303226245).

The spelling of 221321102103123 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, one hundred two million, one hundred three thousand, one hundred twenty-three".

Divisors: 1 3 11 29 33 87 319 957 79537 238611 874907 2306573 2624721 2907647 6919719 8722941 25372303 31984117 76116909 84321763 95952351 252965289 927539393 2782618179 231265519439 693796558317 2543920713829 6706700063731 7631762141487 20120100191193 73773700701041 221321102103123