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212202321320 = 235113671314109
BaseRepresentation
bin1100010110100000111…
…1100111010110101000
3202021201202002211112002
43011220033213112220
511434042243240240
6241252344110132
721221366653553
oct3055017472650
9667652084462
10212202321320
1181aa3750880
1235162165348
131701a371752
14a3b092769a
1557be85bd15
hex31683e75a8

212202321320 has 64 divisors (see below), whose sum is σ = 522279878400. Its totient is φ = 76954164480.

The previous prime is 212202321281. The next prime is 212202321343. The reversal of 212202321320 is 23123202212.

It is a happy number.

212202321320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212202321292 and 212202321301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 495575 + ... + 818534.

It is an arithmetic number, because the mean of its divisors is an integer number (8160623100).

Almost surely, 2212202321320 is an apocalyptic number.

212202321320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202321320 is an abundant number, since it is smaller than the sum of its proper divisors (310077557080).

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

212202321320 is a wasteful number, since it uses less digits than its factorization.

212202321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314498 (or 1314494 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212202321320 its reverse (23123202212), we get a palindrome (235325523532).

The spelling of 212202321320 in words is "two hundred twelve billion, two hundred two million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 367 440 734 1468 1835 2936 3670 4037 7340 8074 14680 16148 20185 32296 40370 80740 161480 1314109 2628218 5256436 6570545 10512872 13141090 14455199 26282180 28910398 52564360 57820796 72275995 115641592 144551990 289103980 482278003 578207960 964556006 1929112012 2411390015 3858224024 4822780030 5305058033 9645560060 10610116066 19291120120 21220232132 26525290165 42440464264 53050580330 106101160660 212202321320