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13022120003310 = 23251113153656569
BaseRepresentation
bin1011110101111111001011…
…0101100100011011101110
31201002220100221012010100100
42331133302311210123232
53201323300210101220
643410140201011530
72512550162464065
oct275376265443356
951086327163310
1013022120003310
11417071728a670
121563935783ba6
13735c99635982
143303b9ac31dc
15178b065bbd90
hexbd7f2d646ee

13022120003310 has 48 divisors (see below), whose sum is σ = 36935467648560. Its totient is φ = 3156877576320.

The previous prime is 13022120003279. The next prime is 13022120003353. The reversal of 13022120003310 is 1330002122031.

13022120003310 is a `hidden beast` number, since 130 + 2 + 2 + 1 + 200 + 0 + 331 + 0 = 666.

It is a super-2 number, since 2×130221200033102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6576827295 + ... + 6576829274.

It is an arithmetic number, because the mean of its divisors is an integer number (769488909345).

Almost surely, 213022120003310 is an apocalyptic number.

13022120003310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13022120003310 is an abundant number, since it is smaller than the sum of its proper divisors (23913347645250).

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

13022120003310 is a wasteful number, since it uses less digits than its factorization.

13022120003310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13153656593 (or 13153656590 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13022120003310 its reverse (1330002122031), we get a palindrome (14352122125341).

The spelling of 13022120003310 in words is "thirteen trillion, twenty-two billion, one hundred twenty million, three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 13153656569 26307313138 39460969707 65768282845 78921939414 118382909121 131536565690 144690222259 197304848535 236765818242 289380444518 394609697070 434070666777 591914545605 723451111295 868141333554 1183829091210 1302212000331 1446902222590 2170353333885 2604424000662 4340706667770 6511060001655 13022120003310