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221321102103102 = 231719857133256447
BaseRepresentation
bin110010010100101001010101…
…101011000001001000111110
31002000122002110010202220221110
4302110221111223001020332
5213002111104114244402
62102413302150342450
764421631142050441
oct6224512553011076
91060562403686843
10221321102103102
1164579830342a01
12209a561935aa26
13966564b480991
143c91dd9c3b658
151a8c10a71556c
hexc94a55ac123e

221321102103102 has 64 divisors (see below), whose sum is σ = 493923019898880. Its totient is φ = 65702890238976.

The previous prime is 221321102103097. The next prime is 221321102103107. The reversal of 221321102103102 is 201301201123122.

It is an interprime number because it is at equal distance from previous prime (221321102103097) and next prime (221321102103107).

It is a super-2 number, since 2×2213211021031022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221321102103107) 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, 64967358 + ... + 68289089.

It is an arithmetic number, because the mean of its divisors is an integer number (7717547185920).

Almost surely, 2221321102103102 is an apocalyptic number.

221321102103102 is an abundant number, since it is smaller than the sum of its proper divisors (272601917795778).

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

221321102103102 is a wasteful number, since it uses less digits than its factorization.

221321102103102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133257345.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221321102103102 its reverse (201301201123122), we get a palindrome (422622303226224).

The spelling of 221321102103102 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, one hundred two million, one hundred three thousand, one hundred two".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 323 646 857 969 1714 1938 2571 5142 14569 16283 29138 32566 43707 48849 87414 97698 276811 553622 830433 1660866 133256447 266512894 399769341 799538682 2265359599 2531872493 4530719198 5063744986 6796078797 7595617479 13592157594 15191234958 43041832381 86083664762 114200775079 129125497143 228401550158 258250994286 342602325237 685204650474 1941413176343 2169814726501 3882826352686 4339629453002 5824239529029 6509444179503 11648479058058 13018888359006 36886850350517 73773700701034 110660551051551 221321102103102