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111301010221000 = 2353137812416133
BaseRepresentation
bin11001010011101001001001…
…001011010110011111001000
3112121002021100202210210000211
4121103221021023112133020
5104042023432104033000
61032414551144010504
732305142535112045
oct3123511113263710
9477067322723024
10111301010221000
1132511547727376
1210596a6b160a34
134a148427740b2
141d6add77381cc
15cd02dc1877ba
hex653a492d67c8

111301010221000 has 64 divisors (see below), whose sum is σ = 262345417991280. Its totient is φ = 44195437580800.

The previous prime is 111301010220991. The next prime is 111301010221001. The reversal of 111301010221000 is 122010103111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22390707261924 + 88910302959076 = 4731882^2 + 9429226^2 .

It is not an unprimeable number, because it can be changed into a prime (111301010221001) 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 15 ways as a sum of consecutive naturals, for example, 406071067 + ... + 406345066.

Almost surely, 2111301010221000 is an apocalyptic number.

111301010221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111301010221000 is an abundant number, since it is smaller than the sum of its proper divisors (151044407770280).

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

111301010221000 is a wasteful number, since it uses less digits than its factorization.

111301010221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812416291 (or 812416277 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 111301010221000 its reverse (122010103111), we get a palindrome (111423020324111).

The spelling of 111301010221000 in words is "one hundred eleven trillion, three hundred one billion, ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 274 500 548 685 1000 1096 1370 2740 3425 5480 6850 13700 17125 27400 34250 68500 137000 812416133 1624832266 3249664532 4062080665 6499329064 8124161330 16248322660 20310403325 32496645320 40620806650 81241613300 101552016625 111301010221 162483226600 203104033250 222602020442 406208066500 445204040884 556505051105 812416133000 890408081768 1113010102210 2226020204420 2782525255525 4452040408840 5565050511050 11130101022100 13912626277625 22260202044200 27825252555250 55650505110500 111301010221000