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200211112420 = 2251117335915937
BaseRepresentation
bin1011101001110110000…
…0110010000111100100
3201010210001112022021221
42322131200302013210
511240013021044140
6231550430550124
720315263243054
oct2723540620744
9633701468257
10200211112420
11779aaa54080
1232976368344
1315b58c97477
149994157564
15531bc7614a
hex2e9d8321e4

200211112420 has 96 divisors (see below), whose sum is σ = 485820840960. Its totient is φ = 68496752640.

The previous prime is 200211112399. The next prime is 200211112459. The reversal of 200211112420 is 24211112002.

200211112420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200211112394 and 200211112403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12554692 + ... + 12570628.

It is an arithmetic number, because the mean of its divisors is an integer number (5060633760).

Almost surely, 2200211112420 is an apocalyptic number.

200211112420 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 200211112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242910420480).

200211112420 is an abundant number, since it is smaller than the sum of its proper divisors (285609728540).

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

200211112420 is a wasteful number, since it uses less digits than its factorization.

200211112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19333 (or 19331 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200211112420 its reverse (24211112002), we get a palindrome (224422224422).

The spelling of 200211112420 in words is "two hundred billion, two hundred eleven million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3359 3740 6718 13436 15937 16795 31874 33590 36949 57103 63748 67180 73898 79685 114206 147796 159370 175307 184745 228412 270929 285515 318740 350614 369490 541858 571030 628133 701228 738980 876535 1083716 1142060 1256266 1354645 1753070 2512532 2709290 2980219 3140665 3506140 5418580 5960438 6281330 11920876 12562660 14901095 29802190 53532383 59604380 107064766 214129532 267661915 535323830 588856213 910050511 1070647660 1177712426 1820101022 2355424852 2944281065 3640202044 4550252555 5888562130 9100505110 10010555621 11777124260 18201010220 20021111242 40042222484 50052778105 100105556210 200211112420