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20122310423200 = 2552532831676971
BaseRepresentation
bin1001001001101000101110…
…01010100011001010100000
32122020200012102002202221211
410210310113022203022200
510114140442432020300
6110444021202555504
74144534416326656
oct444642712431240
978220172082854
1020122310423200
116458907712317
12230ba09068b94
13b2c6ab05260b
144d7cd4386dd6
1524d662abb4ba
hex124d172a32a0

20122310423200 has 144 divisors (see below), whose sum is σ = 50227337182176. Its totient is φ = 7869148185600.

The previous prime is 20122310423029. The next prime is 20122310423287. The reversal of 20122310423200 is 232401322102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11160715 + ... + 12837685.

It is an arithmetic number, because the mean of its divisors is an integer number (348800952654).

Almost surely, 220122310423200 is an apocalyptic number.

20122310423200 is a gapful number since it is divisible by the number (20) 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 20122310423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25113668591088).

20122310423200 is an abundant number, since it is smaller than the sum of its proper divisors (30105026758976).

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

20122310423200 is a wasteful number, since it uses less digits than its factorization.

20122310423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677327 (or 1677314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20122310423200 its reverse (232401322102), we get a palindrome (20354711745302).

The spelling of 20122310423200 in words is "twenty trillion, one hundred twenty-two billion, three hundred ten million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 160 200 212 265 283 400 424 530 566 800 848 1060 1132 1325 1415 1696 2120 2264 2650 2830 4240 4528 5300 5660 7075 8480 9056 10600 11320 14150 14999 21200 22640 28300 29998 42400 45280 56600 59996 74995 113200 119992 149990 226400 239984 299980 374975 479968 599960 749950 1199920 1499900 1676971 2399840 2999800 3353942 5999600 6707884 8384855 11999200 13415768 16769710 26831536 33539420 41924275 53663072 67078840 83848550 88879463 134157680 167697100 177758926 268315360 335394200 355517852 444397315 474582793 670788400 711035704 888794630 949165586 1341576800 1422071408 1777589260 1898331172 2221986575 2372913965 2844142816 3555178520 3796662344 4443973150 4745827930 7110357040 7593324688 8887946300 9491655860 11864569825 14220714080 15186649376 17775892600 18983311720 23729139650 25152888029 35551785200 37966623440 47458279300 50305776058 71103570400 75933246880 94916558600 100611552116 125764440145 189833117200 201223104232 251528880290 379666234400 402446208464 503057760580 628822200725 804892416928 1006115521160 1257644401450 2012231042320 2515288802900 4024462084640 5030577605800 10061155211600 20122310423200