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21231310002 = 23729151241479
BaseRepresentation
bin10011110001011111…
…000001010010110010
32000210122110022000220
4103301133001102302
5321440203410002
613430432353510
71351063104660
oct236137012262
960718408026
1021231310002
1190055804a1
1241463a5896
132004812436
141055a45c30
15843ddd7bc
hex4f17c14b2

21231310002 has 128 divisors (see below), whose sum is σ = 50850201600. Its totient is φ = 5781888000.

The previous prime is 21231309991. The next prime is 21231310021. The reversal of 21231310002 is 20001313212.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 44323999 + ... + 44324477.

It is an arithmetic number, because the mean of its divisors is an integer number (397267200).

Almost surely, 221231310002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21231310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25425100800).

21231310002 is an abundant number, since it is smaller than the sum of its proper divisors (29618891598).

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

21231310002 is a wasteful number, since it uses less digits than its factorization.

21231310002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21231310002 its reverse (20001313212), we get a palindrome (41232623214).

The spelling of 21231310002 in words is "twenty-one billion, two hundred thirty-one million, three hundred ten thousand, two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 151 174 203 241 302 406 453 479 482 609 723 906 958 1057 1218 1437 1446 1687 2114 2874 3171 3353 3374 4379 5061 6342 6706 6989 8758 10059 10122 13137 13891 13978 20118 20967 26274 27782 30653 36391 41673 41934 48923 61306 72329 72782 83346 91959 97237 97846 109173 115439 144658 146769 183918 194474 216987 218346 230878 254737 291711 293538 346317 433974 506303 509474 583422 692634 764211 808073 1012606 1055339 1518909 1528422 1616146 2097541 2110678 2424219 3037818 3166017 3347731 4195082 4848438 6292623 6332034 6695462 7387373 10043193 12585246 14682787 14774746 17431289 20086386 22162119 23434117 29365574 34862578 44048361 44324238 46868234 52293867 70302351 88096722 104587734 122019023 140604702 244038046 366057069 505507381 732114138 1011014762 1516522143 3033044286 3538551667 7077103334 10615655001 21231310002