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21232312212200 = 2352705831504067
BaseRepresentation
bin1001101001111100010000…
…11011010101101011101000
32210011210022100022001212012
410310332020123111223220
510240332233411242300
6113053553425335052
74320661330010135
oct464761033255350
983153270261765
1021232312212200
11684663379a431
12246ab6a497488
13bb0276cc341b
14535913d1b58c
1526c47b680435
hex134f886d5ae8

21232312212200 has 48 divisors (see below), whose sum is σ = 49365858106080. Its totient is φ = 8492798912960.

The previous prime is 21232312212173. The next prime is 21232312212203. The reversal of 21232312212200 is 221221323212.

It is a happy number.

It is a super-2 number, since 2×212323122122002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21232312212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13364567 + ... + 14868633.

It is an arithmetic number, because the mean of its divisors is an integer number (1028455377210).

Almost surely, 221232312212200 is an apocalyptic number.

21232312212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21232312212200 is an abundant number, since it is smaller than the sum of its proper divisors (28133545893880).

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

21232312212200 is a wasteful number, since it uses less digits than its factorization.

21232312212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574666 (or 1574657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 21232312212200 its reverse (221221323212), we get a palindrome (21453533535412).

The spelling of 21232312212200 in words is "twenty-one trillion, two hundred thirty-two billion, three hundred twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 70583 141166 282332 352915 564664 705830 1411660 1504067 1764575 2823320 3008134 3529150 6016268 7058300 7520335 12032536 14116600 15040670 30081340 37601675 60162680 75203350 150406700 300813400 106161561061 212323122122 424646244244 530807805305 849292488488 1061615610610 2123231221220 2654039026525 4246462442440 5308078053050 10616156106100 21232312212200