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20314120332 = 223112192925391
BaseRepresentation
bin10010111010110100…
…001110000010001100
31221102201121020100010
4102322310032002030
5313100403322312
613155430033220
71316255113422
oct227264160214
957381536303
1020314120332
118684878300
123b2b1a8810
131bb97aa85c
14da9cd3112
157dd61893c
hex4bad0e08c

20314120332 has 144 divisors (see below), whose sum is σ = 56735884800. Its totient is φ = 5630486400.

The previous prime is 20314120297. The next prime is 20314120349. The reversal of 20314120332 is 23302141302.

It is a junction number, because it is equal to n+sod(n) for n = 20314120299 and 20314120308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787357 + ... + 812747.

It is an arithmetic number, because the mean of its divisors is an integer number (393999200).

Almost surely, 220314120332 is an apocalyptic number.

20314120332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28367942400).

20314120332 is an abundant number, since it is smaller than the sum of its proper divisors (36421764468).

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

20314120332 is a wasteful number, since it uses less digits than its factorization.

20314120332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25468 (or 25455 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20314120332 its reverse (23302141302), we get a palindrome (43616261634).

The spelling of 20314120332 in words is "twenty billion, three hundred fourteen million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 29 33 38 44 57 58 66 76 87 114 116 121 132 174 209 228 242 319 348 363 418 484 551 627 638 726 836 957 1102 1254 1276 1452 1653 1914 2204 2299 2508 3306 3509 3828 4598 6061 6612 6897 7018 9196 10527 12122 13794 14036 18183 21054 24244 25391 27588 36366 42108 50782 66671 72732 76173 101564 133342 152346 200013 266684 279301 304692 400026 482429 558602 736339 800052 837903 964858 1117204 1447287 1472678 1675806 1929716 2209017 2894574 2945356 3072311 3351612 4418034 5306719 5789148 6144622 8099729 8836068 9216933 10613438 12289244 13990441 15920157 16199458 18433866 21226876 24299187 27980882 31840314 32398916 36867732 41971323 48598374 55961764 58373909 63680628 83942646 89097019 97196748 116747818 153894851 167885292 175121727 178194038 233495636 267291057 307789702 350243454 356388076 461684553 534582114 615579404 700486908 923369106 1069164228 1692843361 1846738212 3385686722 5078530083 6771373444 10157060166 20314120332