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10220321331 = 32111923337701
BaseRepresentation
bin10011000010010110…
…11011101000110011
3222101021100010011200
421201023123220303
5131412400240311
64410052542243
7511161204123
oct114113335063
928337303150
1010220321331
114375117760
121b92921983
13c6b53b21c
146cd514c83
153ec3cd556
hex2612dba33

10220321331 has 96 divisors (see below), whose sum is σ = 17767226880. Its totient is φ = 5588352000.

The previous prime is 10220321323. The next prime is 10220321333. The reversal of 10220321331 is 13312302201.

10220321331 is a `hidden beast` number, since 10 + 2 + 2 + 0 + 321 + 331 = 666.

10220321331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10220321331 - 23 = 10220321323 is a prime.

It is a super-2 number, since 2×102203213312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10220321333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14579281 + ... + 14579981.

It is an arithmetic number, because the mean of its divisors is an integer number (185075280).

Almost surely, 210220321331 is an apocalyptic number.

10220321331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10220321331 is a deficient number, since it is larger than the sum of its proper divisors (7546905549).

10220321331 is a wasteful number, since it uses less digits than its factorization.

10220321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1094 counting only the distinct ones).

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

Adding to 10220321331 its reverse (13312302201), we get a palindrome (23532623532).

The spelling of 10220321331 in words is "ten billion, two hundred twenty million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 19 23 33 57 69 99 171 207 209 253 337 437 627 701 759 1011 1311 1881 2103 2277 3033 3707 3933 4807 6309 6403 7711 7751 11121 13319 14421 16123 19209 23133 23253 33363 39957 43263 48369 57627 69399 69759 70433 85261 119871 145107 146509 147269 177353 211299 236237 255783 306337 439527 441807 532059 633897 708711 767349 919011 1318581 1325421 1596177 1619959 2126133 2598607 2757033 3369707 4488503 4859877 5433451 7795821 10109121 13465509 14579631 16300353 23387463 30327363 40396527 48901059 49373533 59767961 103235569 148120599 179303883 309706707 444361797 537911649 929120121 1135591259 3406773777 10220321331