Search a number
-
+
210322123000 = 23531129659317
BaseRepresentation
bin1100001111100000101…
…1001110100011111000
3202002212201011212022021
43003320023032203320
511421214430414000
6240342021004224
721123656356033
oct3037013164370
9662781155267
10210322123000
118121939aa70
1234918553674
1316aaa981c72
14a272d3601a
15570e76111a
hex30f82ce8f8

210322123000 has 128 divisors (see below), whose sum is σ = 555409483200. Its totient is φ = 73843392000.

The previous prime is 210322122953. The next prime is 210322123001. The reversal of 210322123000 is 321223012.

210322123000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210322123001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10659 + ... + 648658.

Almost surely, 2210322123000 is an apocalyptic number.

210322123000 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 210322123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277704741600).

210322123000 is an abundant number, since it is smaller than the sum of its proper divisors (345087360200).

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

210322123000 is a wasteful number, since it uses less digits than its factorization.

210322123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659378 (or 659364 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 210322123000 its reverse (321223012), we get a palindrome (210643346012).

The spelling of 210322123000 in words is "two hundred ten billion, three hundred twenty-two million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 39875 63800 79750 159500 319000 659317 1318634 2637268 3296585 5274536 6593170 7252487 13186340 14504974 16482925 19120193 26372680 29009948 32965850 36262435 38240386 58019896 65931700 72524870 76480772 82414625 95600965 131863400 145049740 152961544 164829250 181312175 191201930 210322123 290099480 329658500 362624350 382403860 420644246 478004825 659317000 725248700 764807720 841288492 906560875 956009650 1051610615 1450497400 1682576984 1813121750 1912019300 2103221230 2390024125 3626243500 3824038600 4206442460 4780048250 5258053075 7252487000 8412884920 9560096500 10516106150 19120193000 21032212300 26290265375 42064424600 52580530750 105161061500 210322123000