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20023200312 = 23319376717713
BaseRepresentation
bin10010101001011110…
…011100101000111000
31220200110011222002120
4102221132130220320
5312001414402222
613110514401240
71306123252203
oct225136345070
956613158076
1020023200312
118545635835
123a69890220
131b7143b92b
14d7d40493a
157c2d0015c
hex4a979ca38

20023200312 has 128 divisors (see below), whose sum is σ = 54927571200. Its totient is φ = 6060054528.

The previous prime is 20023200311. The next prime is 20023200317. The reversal of 20023200312 is 21300232002.

It is a junction number, because it is equal to n+sod(n) for n = 20023200291 and 20023200300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20023200311) 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 31 ways as a sum of consecutive naturals, for example, 1121568 + ... + 1139280.

It is an arithmetic number, because the mean of its divisors is an integer number (429121650).

Almost surely, 220023200312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20023200312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27463785600).

20023200312 is an abundant number, since it is smaller than the sum of its proper divisors (34904370888).

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

20023200312 is a wasteful number, since it uses less digits than its factorization.

20023200312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17845 (or 17841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20023200312 its reverse (21300232002), we get a palindrome (41323432314).

The spelling of 20023200312 in words is "twenty billion, twenty-three million, two hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 67 74 76 111 114 134 148 152 201 222 228 268 296 402 444 456 536 703 804 888 1273 1406 1608 2109 2479 2546 2812 3819 4218 4958 5092 5624 7437 7638 8436 9916 10184 14874 15276 16872 17713 19832 29748 30552 35426 47101 53139 59496 70852 94202 106278 141303 141704 188404 212556 282606 336547 376808 425112 565212 655381 673094 1009641 1130424 1186771 1310762 1346188 1966143 2019282 2373542 2621524 2692376 3560313 3932286 4038564 4747084 5243048 7120626 7864572 8077128 9494168 12452239 14241252 15729144 22548649 24904478 28482504 37356717 43910527 45097298 49808956 67645947 74713434 87821054 90194596 99617912 131731581 135291894 149426868 175642108 180389192 263463162 270583788 298853736 351284216 526926324 541167576 834300013 1053852648 1668600026 2502900039 3337200052 5005800078 6674400104 10011600156 20023200312