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21303423141 = 371113371091759
BaseRepresentation
bin10011110101110010…
…000111000010100101
32000222200011000122220
4103311302013002211
5322112134020031
613441530142553
71352630052240
oct236562070245
960880130586
1021303423141
119042255130
124166581a59
132016740a30
141061458257
1584a3d5596
hex4f5c870a5

21303423141 has 128 divisors (see below), whose sum is σ = 39550156800. Its totient is φ = 9842549760.

The previous prime is 21303423131. The next prime is 21303423149. The reversal of 21303423141 is 14132430312.

It is a happy number.

It is not a de Polignac number, because 21303423141 - 25 = 21303423109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303423149) 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 127 ways as a sum of consecutive naturals, for example, 12110220 + ... + 12111978.

It is an arithmetic number, because the mean of its divisors is an integer number (308985600).

Almost surely, 221303423141 is an apocalyptic number.

21303423141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21303423141 is a deficient number, since it is larger than the sum of its proper divisors (18246733659).

21303423141 is a wasteful number, since it uses less digits than its factorization.

21303423141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21303423141 its reverse (14132430312), we get a palindrome (35435853453).

It can be divided in two parts, 21303 and 423141, that added together give a palindrome (444444).

The spelling of 21303423141 in words is "twenty-one billion, three hundred three million, four hundred twenty-three thousand, one hundred forty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 109 111 143 231 259 273 327 407 429 481 763 777 1001 1199 1221 1417 1443 1759 2289 2849 3003 3367 3597 4033 4251 5277 5291 8393 8547 9919 10101 12099 12313 15587 15873 19349 22867 25179 28231 29757 36939 37037 44363 46761 52429 58047 65083 68601 84693 109109 111111 133089 135443 157287 160069 191731 195249 251537 310541 327327 367003 406329 455581 480207 575193 576719 715913 754611 846079 931623 1101009 1342117 1366743 1730157 1760759 2109041 2147739 2492503 2538237 4026351 4037033 5011391 5282277 5922553 6327123 7094047 7477509 9306869 12111099 14763287 15034173 17447521 17767659 21282141 27417533 27920607 44289861 49658329 52342563 65148083 78034517 82252599 92222611 148974987 191922731 195444249 234103551 276667833 546241619 575768193 645558277 1014448721 1638724857 1936674831 3043346163 7101141047 21303423141