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21203324142 = 237111329312049
BaseRepresentation
bin10011101111110100…
…010000110011101110
32000201200210110122120
4103233310100303232
5321411022333032
613423552453410
71350303165360
oct235764206356
960650713576
1021203324142
118aa07a6290
124138b4a266
131ccba94160
14105203cd30
1584171162c
hex4efd10cee

21203324142 has 128 divisors (see below), whose sum is σ = 57136665600. Its totient is φ = 5065943040.

The previous prime is 21203324141. The next prime is 21203324159. The reversal of 21203324142 is 24142330212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21203324141) 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, 1753734 + ... + 1765782.

It is an arithmetic number, because the mean of its divisors is an integer number (446380200).

Almost surely, 221203324142 is an apocalyptic number.

21203324142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21203324142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28568332800).

21203324142 is an abundant number, since it is smaller than the sum of its proper divisors (35933341458).

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

21203324142 is a wasteful number, since it uses less digits than its factorization.

21203324142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12378.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21203324142 its reverse (24142330212), we get a palindrome (45345654354).

The spelling of 21203324142 in words is "twenty-one billion, two hundred three million, three hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 293 429 462 546 586 858 879 1001 1758 2002 2051 3003 3223 3809 4102 6006 6153 6446 7618 9669 11427 12049 12306 19338 22561 22854 24098 26663 36147 41899 45122 53326 67683 72294 79989 83798 84343 125697 132539 135366 156637 159978 168686 251394 253029 265078 293293 313274 397617 469911 506058 586586 795234 879879 927773 939822 1096459 1723007 1759758 1855546 2192918 2783319 3289377 3446014 3530357 5169021 5566638 6578754 7060714 10338042 10591071 12061049 21182142 24122098 24712499 36183147 38833927 45894641 49424998 72366294 74137497 77667854 91789282 116501781 137683923 148274994 233003562 271837489 275367846 321262487 504841051 543674978 642524974 815512467 963787461 1009682102 1514523153 1631024934 1927574922 3029046306 3533887357 7067774714 10601662071 21203324142