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13102233322031 = 741736199111109
BaseRepresentation
bin1011111010101001100111…
…1101101000001000101111
31201101120011011112101101222
42332222121331220020233
53204131333212301111
643511025523253555
72521414361452010
oct276523175501057
951346134471358
1013102233322031
1141a1698154787
12157737351a2bb
137406c6095589
14334219919007
1517ac449c17db
hexbea99f6822f

13102233322031 has 64 divisors (see below), whose sum is σ = 15605601177600. Its totient is φ = 10767462451200.

The previous prime is 13102233322001. The next prime is 13102233322051. The reversal of 13102233322031 is 13022333220131.

It is a de Polignac number, because none of the positive numbers 2k-13102233322031 is a prime.

It is a super-2 number, since 2×131022333220312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102233322001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11814456905 + ... + 11814458013.

It is an arithmetic number, because the mean of its divisors is an integer number (243837518400).

Almost surely, 213102233322031 is an apocalyptic number.

13102233322031 is a deficient number, since it is larger than the sum of its proper divisors (2503367855569).

13102233322031 is a wasteful number, since it uses less digits than its factorization.

13102233322031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13102233322031 its reverse (13022333220131), we get a palindrome (26124566542162).

The spelling of 13102233322031 in words is "thirteen trillion, one hundred two billion, two hundred thirty-three million, three hundred twenty-two thousand, thirty-one".

Divisors: 1 7 41 73 287 511 619 911 1109 2993 4333 6377 7763 20951 25379 37351 45187 45469 66503 80957 177653 261457 316309 318283 465521 563909 566699 686471 1010299 1852667 2726623 3319237 3947363 4805297 7072093 12968669 19086361 23120269 23234659 28145311 41165357 41422259 50112383 73751827 161841883 197017177 288157499 289955813 350786681 516262789 625375081 1687779637 2054607703 3023824907 4377625567 11814457459 14382253921 21166774349 25640378321 45652380913 179482648247 319566666391 1871747617433 13102233322031