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10220022310329 = 331329179981787
BaseRepresentation
bin1001010010111000100011…
…0011001010010110111001
31100012000122221000200121000
42110232020303022112321
52314421101202412304
633423002522435213
72103241452206016
oct224561063122671
940160587020530
1010220022310329
113290318182327
121190860962b09
135919896641b0
1427491a46270d
1512aca608d939
hex94b88cca5b9

10220022310329 has 32 divisors (see below), whose sum is σ = 16311040135040. Its totient is φ = 6287087802816.

The previous prime is 10220022310327. The next prime is 10220022310339. The reversal of 10220022310329 is 92301322002201.

10220022310329 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 0 + 22 + 310 + 329 = 666.

It is not a de Polignac number, because 10220022310329 - 21 = 10220022310327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10220022310321) 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, 3967027 + ... + 6014760.

It is an arithmetic number, because the mean of its divisors is an integer number (509720004220).

Almost surely, 210220022310329 is an apocalyptic number.

It is an amenable number.

10220022310329 is a deficient number, since it is larger than the sum of its proper divisors (6091017824711).

10220022310329 is a wasteful number, since it uses less digits than its factorization.

10220022310329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984726 (or 9984720 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10220022310329 in words is "ten trillion, two hundred twenty billion, twenty-two million, three hundred ten thousand, three hundred twenty-nine".

Divisors: 1 3 9 13 27 39 117 351 2917 8751 26253 37921 78759 113763 341289 1023867 9981787 29945361 89836083 129763231 269508249 389289693 1167869079 3503607237 29116872679 87350618037 262051854111 378519344827 786155562333 1135558034481 3406674103443 10220022310329