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140321002100331 = 313232929321418599
BaseRepresentation
bin11111111001111100000111…
…011111000001011001101011
3200101211120000220022210211010
4133321330013133001121223
5121343004403014202311
61214234324540035003
741361600146104563
oct3771740737013153
9611746026283733
10140321002100331
114078a891585358
12138a3197832a63
13603b2a170b0c0
14269180384bda3
1511351108aeda6
hex7f9f077c166b

140321002100331 has 128 divisors (see below), whose sum is σ = 218366378496000. Its totient is φ = 79430266460160.

The previous prime is 140321002100269. The next prime is 140321002100341. The reversal of 140321002100331 is 133001200123041.

It is not a de Polignac number, because 140321002100331 - 27 = 140321002100203 is a prime.

It is a super-2 number, since 2×1403210021003312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140321002100298 and 140321002100307.

It is not an unprimeable number, because it can be changed into a prime (140321002100341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16318288770 + ... + 16318297368.

It is an arithmetic number, because the mean of its divisors is an integer number (1705987332000).

Almost surely, 2140321002100331 is an apocalyptic number.

140321002100331 is a deficient number, since it is larger than the sum of its proper divisors (78045376395669).

140321002100331 is a wasteful number, since it uses less digits than its factorization.

140321002100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 140321002100331 its reverse (133001200123041), we get a palindrome (273322202223372).

The spelling of 140321002100331 in words is "one hundred forty trillion, three hundred twenty-one billion, two million, one hundred thousand, three hundred thirty-one".

Divisors: 1 3 13 23 29 39 69 87 293 299 377 667 879 897 1131 2001 2141 3809 6423 6739 8497 8599 8671 11427 20217 25491 25797 26013 27833 49243 62089 83499 87607 110461 111787 147729 186267 195431 197777 249371 262821 331383 335361 586293 593331 627313 640159 748113 807157 1428047 1881939 1920477 2421471 2519507 2540603 2571101 3241823 4284141 5735533 7558521 7621809 7713303 8155069 9725469 14428199 17206599 18192077 18410459 18564611 24465207 32753591 43284597 54576231 55231377 55693833 57948661 73065703 74561929 98260773 173845983 187566587 219197109 223685787 236497001 239335967 418417771 423440557 533903311 562699761 709491003 718007901 753332593 949854139 1255253313 1270321671 1601709933 1680511169 2259997779 2849562417 5041533507 5394264487 5439431023 5504727241 6940743043 12279776153 16182793461 16318293069 16514181723 20822229129 21846645197 36839328459 65539935591 70125438331 124068083201 156433670123 159637089989 210376314993 372204249603 469301010369 478911269967 1612885081613 2033637711599 3597974412829 4838655244839 6100913134797 10793923238487 46773667366777 140321002100331