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10223131002201 = 3313199146360449
BaseRepresentation
bin1001010011000100001000…
…0101111000010101011001
31100012022200120120121011000
42110301002011320111121
52314443433014032301
633424235212455213
72103411500514435
oct224610205702531
940168616517130
1010223131002201
113291672a30567
121191389a7a509
13592063713540
14274b3327d9c5
1512add8e52786
hex94c42178559

10223131002201 has 32 divisors (see below), whose sum is σ = 16392370400000. Its totient is φ = 6259543640064.

The previous prime is 10223131002173. The next prime is 10223131002223. The reversal of 10223131002201 is 10220013132201.

10223131002201 is a `hidden beast` number, since 10 + 22 + 313 + 100 + 220 + 1 = 666.

It is not a de Polignac number, because 10223131002201 - 211 = 10223131000153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10223131002701) 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, 73110376 + ... + 73250073.

It is an arithmetic number, because the mean of its divisors is an integer number (512261575000).

Almost surely, 210223131002201 is an apocalyptic number.

It is an amenable number.

10223131002201 is a deficient number, since it is larger than the sum of its proper divisors (6169239397799).

10223131002201 is a wasteful number, since it uses less digits than its factorization.

10223131002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146360670 (or 146360664 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10223131002201 its reverse (10220013132201), we get a palindrome (20443144134402).

The spelling of 10223131002201 in words is "ten trillion, two hundred twenty-three billion, one hundred thirty-one million, two thousand, two hundred one".

Divisors: 1 3 9 13 27 39 117 199 351 597 1791 2587 5373 7761 23283 69849 146360449 439081347 1317244041 1902685837 3951732123 5708057511 17124172533 29125729351 51372517599 87377188053 262131564159 378634481563 786394692477 1135903444689 3407710334067 10223131002201