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112021012210000 = 245441273221981
BaseRepresentation
bin11001011110000111101100…
…101000111110000101010000
3112200122002210221120111102011
4121132013230220332011100
5104140323013111210000
61034125424221232304
732411152053045235
oct3136075450760520
9480562727514364
10112021012210000
1132769932013393
121069250a402694
134a676c7b3408a
141d93bbb2c178c
15ce3dcc2502ba
hex65e1eca3e150

112021012210000 has 100 divisors (see below), whose sum is σ = 277829051060484. Its totient is φ = 43715516800000.

The previous prime is 112021012209983. The next prime is 112021012210001. The reversal of 112021012210000 is 12210120211.

It can be written as a sum of positive squares in 10 ways, for example, as 82095342179904 + 29925670030096 = 9060648^2 + 5470436^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112021012210001) 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 19 ways as a sum of consecutive naturals, for example, 136200991 + ... + 137020990.

Almost surely, 2112021012210000 is an apocalyptic number.

112021012210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112021012210000 is an abundant number, since it is smaller than the sum of its proper divisors (165808038850484).

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

112021012210000 is an equidigital number, since it uses as much as digits as its factorization.

112021012210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273222050 (or 273222029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112021012210000 its reverse (12210120211), we get a palindrome (112033222330211).

The spelling of 112021012210000 in words is "one hundred twelve trillion, twenty-one billion, twelve million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3280 4100 5000 5125 8200 10000 10250 16400 20500 25625 41000 51250 82000 102500 205000 410000 273221981 546443962 1092887924 1366109905 2185775848 2732219810 4371551696 5464439620 6830549525 10928879240 11202101221 13661099050 21857758480 22404202442 27322198100 34152747625 44808404884 54644396200 56010506105 68305495250 89616809768 109288792400 112021012210 136610990500 170763738125 179233619536 224042024420 273221981000 280052530525 341527476250 448084048840 546443962000 560105061050 683054952500 896168097680 1120210122100 1366109905000 1400262652625 2240420244200 2732219810000 2800525305250 4480840488400 5601050610500 7001313263125 11202101221000 14002626526250 22404202442000 28005253052500 56010506105000 112021012210000