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210324423012 = 22311382715923
BaseRepresentation
bin1100001111100001010…
…0000000000101100100
3202002212212111201022220
43003320110000011210
511421221023014022
6240342142152340
721124015045434
oct3037024000544
9662785451286
10210324423012
118121a721000
12349192826b0
1316aab2a8b12
14a2733742c4
15570ea6785c
hex30f8500164

210324423012 has 96 divisors (see below), whose sum is σ = 540482471424. Its totient is φ = 63653608480.

The previous prime is 210324422963. The next prime is 210324423091.

It is a happy number.

210324423012 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13200883 + ... + 13216805.

It is an arithmetic number, because the mean of its divisors is an integer number (5630025744).

Almost surely, 2210324423012 is an apocalyptic number.

210324423012 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 210324423012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270241235712).

210324423012 is an abundant number, since it is smaller than the sum of its proper divisors (330158048412).

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

210324423012 is a wasteful number, since it uses less digits than its factorization.

210324423012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16790 (or 16766 counting only the distinct ones).

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

It can be divided in two parts, 210324 and 423012, that added together give a palindrome (633336).

The spelling of 210324423012 in words is "two hundred ten billion, three hundred twenty-four million, four hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 827 1331 1452 1654 2481 2662 3308 3993 4962 5324 7986 9097 9924 15923 15972 18194 27291 31846 36388 47769 54582 63692 95538 100067 109164 175153 191076 200134 300201 350306 400268 525459 600402 700612 1050918 1100737 1200804 1926683 2101836 2201474 3302211 3853366 4402948 5780049 6604422 7706732 11560098 13168321 13208844 21193513 23120196 26336642 39504963 42387026 52673284 63580539 79009926 84774052 127161078 144851531 158019852 254322156 289703062 434554593 579406124 869109186 1593366841 1738218372 3186733682 4780100523 6373467364 9560201046 17527035251 19120402092 35054070502 52581105753 70108141004 105162211506 210324423012