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368001212102001 = 322341191322666271
BaseRepresentation
bin101001110101100011111010…
…1100001100011010101110001
31210020222120110012111200001100
41103223013311201203111301
5341213312440244231001
63342401231210155013
7140341132044356112
oct12353076541432561
91706876405450040
10368001212102001
11a729048a506a55
1235335125422a69
1312a45499a1817a
1466c34d47ac209
152c828519a3586
hex14eb1f5863571

368001212102001 has 48 divisors (see below), whose sum is σ = 568494037343232. Its totient is φ = 228824155507200.

The previous prime is 368001212101993. The next prime is 368001212102021. The reversal of 368001212102001 is 100201212100863.

It is not a de Polignac number, because 368001212102001 - 23 = 368001212101993 is a prime.

It is a super-3 number, since 3×3680012121020013 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (368001212102021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4902496 + ... + 27568766.

It is an arithmetic number, because the mean of its divisors is an integer number (11843625777984).

Almost surely, 2368001212102001 is an apocalyptic number.

It is an amenable number.

368001212102001 is a deficient number, since it is larger than the sum of its proper divisors (200492825241231).

368001212102001 is a wasteful number, since it uses less digits than its factorization.

368001212102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22668254 (or 22668251 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 368001212102001 its reverse (100201212100863), we get a palindrome (468202424202864).

The spelling of 368001212102001 in words is "three hundred sixty-eight trillion, one billion, two hundred twelve million, one hundred two thousand, one".

Divisors: 1 3 9 23 41 69 123 207 369 943 1913 2829 5739 8487 17217 43999 78433 131997 235299 395991 705897 1803959 5411877 16235631 22666271 67998813 203996439 521324233 929317111 1563972699 2787951333 4691918097 8363853999 21374293553 43360576423 64122880659 130081729269 192368641977 390245187807 997293257729 1777783633343 2991879773187 5333350900029 8975639319561 16000052700087 40889023566889 122667070700667 368001212102001