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210200011420 = 225719122934327
BaseRepresentation
bin1100001111000011100…
…1011010001010011100
3202002120012101221201011
43003300321122022130
511420442200331140
6240321535425004
721120644421430
oct3036071321234
9662505357634
10210200011420
1181166476803
12348a3685164
1316a8b598ba9
14a260a2a9c0
155703b8ecea
hex30f0e5a29c

210200011420 has 96 divisors (see below), whose sum is σ = 509350625280. Its totient is φ = 71376111360.

The previous prime is 210200011397. The next prime is 210200011421. The reversal of 210200011420 is 24110002012.

It is a happy number.

210200011420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 210200011420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210200011421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6106297 + ... + 6140623.

It is an arithmetic number, because the mean of its divisors is an integer number (5305735680).

Almost surely, 2210200011420 is an apocalyptic number.

210200011420 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 210200011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254675312640).

210200011420 is an abundant number, since it is smaller than the sum of its proper divisors (299150613860).

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

210200011420 is a wasteful number, since it uses less digits than its factorization.

210200011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34763 (or 34761 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210200011420 its reverse (24110002012), we get a palindrome (234310013432).

The spelling of 210200011420 in words is "two hundred ten billion, two hundred million, eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 229 382 458 764 916 955 1145 1337 1603 1910 2290 2674 3206 3820 4580 5348 6412 6685 8015 13370 16030 26740 32060 34327 43739 68654 87478 137308 171635 174956 218695 240289 306173 343270 437390 480578 612346 686540 874780 961156 1201445 1224692 1530865 2402890 3061730 4805780 6123460 6556457 7860883 13112914 15721766 26225828 31443532 32782285 39304415 45895199 55026181 65564570 78608830 91790398 110052362 131129140 157217660 183580796 220104724 229475995 275130905 458951990 550261810 917903980 1100523620 1501428653 3002857306 6005714612 7507143265 10510000571 15014286530 21020001142 30028573060 42040002284 52550002855 105100005710 210200011420