Search a number
-
+
20000120222112 = 253563415789017
BaseRepresentation
bin1001000110000101001000…
…00011111011000110100000
32121210222210202200102101120
410203002210003323012200
510110140221234101422
6110311532310532240
74132650423626442
oct443024403730640
977728722612346
1020000120222112
116411004510758
1222b01a7967080
13b21007187a94
144d20221d4492
1524a3b06d245c
hex1230a40fb1a0

20000120222112 has 96 divisors (see below), whose sum is σ = 52606809364032. Its totient is φ = 6653189720064.

The previous prime is 20000120222107. The next prime is 20000120222129. The reversal of 20000120222112 is 21122202100002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20000120222091 and 20000120222100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224633028 + ... + 224722044.

It is an arithmetic number, because the mean of its divisors is an integer number (547987597542).

Almost surely, 220000120222112 is an apocalyptic number.

It is an amenable number.

20000120222112 is an abundant number, since it is smaller than the sum of its proper divisors (32606689141920).

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

20000120222112 is a wasteful number, since it uses less digits than its factorization.

20000120222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93750 (or 93742 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20000120222112 its reverse (21122202100002), we get a palindrome (41122322322114).

The spelling of 20000120222112 in words is "twenty trillion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 563 1126 1689 2252 3378 4157 4504 6756 8314 9008 12471 13512 16628 18016 24942 27024 33256 49884 54048 66512 89017 99768 133024 178034 199536 267051 356068 399072 534102 712136 1068204 1424272 2136408 2340391 2848544 4272816 4680782 7021173 8545632 9361564 14042346 18723128 28084692 37446256 50116571 56169384 74892512 100233142 112338768 150349713 200466284 224677536 300699426 370043669 400932568 601398852 740087338 801865136 1110131007 1202797704 1480174676 1603730272 2220262014 2405595408 2960349352 4440524028 4811190816 5920698704 8881048056 11841397408 17762096112 35524192224 208334585647 416669171294 625003756941 833338342588 1250007513882 1666676685176 2500015027764 3333353370352 5000030055528 6666706740704 10000060111056 20000120222112