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2321210034 = 234112139109
BaseRepresentation
bin1000101001011010…
…1101101010110010
312222202202200120000
42022112231222302
514223212210114
61022155330430
7111343650123
oct21226555262
95882680500
102321210034
11a91298500
12549450a16
132acb90280
141803d004a
15d8bb0e09
hex8a5adab2

2321210034 has 120 divisors (see below), whose sum is σ = 6157503660. Its totient is φ = 649218240.

The previous prime is 2321210011. The next prime is 2321210063. The reversal of 2321210034 is 4300121232.

2321210034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1940843025 + 380367009 = 44055^2 + 19503^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2321209989 and 2321210016.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 250272 + ... + 259380.

Almost surely, 22321210034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321210034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078751830).

2321210034 is an abundant number, since it is smaller than the sum of its proper divisors (3836293626).

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

2321210034 is a wasteful number, since it uses less digits than its factorization.

2321210034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9158 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2321210034 is about 48178.9376595209. The cubic root of 2321210034 is about 1324.0513031450.

Adding to 2321210034 its reverse (4300121232), we get a palindrome (6621331266).

The spelling of 2321210034 in words is "two billion, three hundred twenty-one million, two hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 121 143 162 198 234 242 286 297 351 363 429 594 702 726 858 891 1053 1089 1287 1573 1782 2106 2178 2574 3146 3267 3861 4719 6534 7722 9109 9438 9801 11583 14157 18218 19602 23166 27327 28314 42471 54654 81981 84942 100199 118417 127413 163962 200398 236834 245943 254826 300597 355251 491886 601194 710502 737829 901791 1065753 1102189 1302587 1475658 1803582 2131506 2204378 2605174 2705373 3197259 3306567 3907761 5410746 6394518 6613134 7815522 8116119 9591777 9919701 11723283 14328457 16232238 19183554 19839402 23446566 28656914 29759103 35169849 42985371 59518206 70339698 85970742 89277309 105509547 128956113 178554618 211019094 257912226 386868339 773736678 1160605017 2321210034