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10012022200120 = 23517109135078551
BaseRepresentation
bin1001000110110001101100…
…0001101101011100111000
31022110010210001010022000111
42101230123001231130320
52303014110140400440
633143243130314104
72052226146352363
oct221543301553470
938403701108014
1010012022200120
1132100905789a6
121158491b88934
1357818ba939c5
14268827a890da
151256805eb4ea
hex91b1b06d738

10012022200120 has 64 divisors (see below), whose sum is σ = 24070997966400. Its totient is φ = 3734651750400.

The previous prime is 10012022200109. The next prime is 10012022200121. The reversal of 10012022200120 is 2100222021001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10012022200120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012022200121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67465156 + ... + 67613395.

It is an arithmetic number, because the mean of its divisors is an integer number (376109343225).

Almost surely, 210012022200120 is an apocalyptic number.

10012022200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012022200120 is an abundant number, since it is smaller than the sum of its proper divisors (14058975766280).

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

10012022200120 is a wasteful number, since it uses less digits than its factorization.

10012022200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135078688 (or 135078684 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10012022200120 its reverse (2100222021001), we get a palindrome (12112244221121).

The spelling of 10012022200120 in words is "ten trillion, twelve billion, twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 109 136 170 218 340 436 545 680 872 1090 1853 2180 3706 4360 7412 9265 14824 18530 37060 74120 135078551 270157102 540314204 675392755 1080628408 1350785510 2296335367 2701571020 4592670734 5403142040 9185341468 11481676835 14723562059 18370682936 22963353670 29447124118 45926707340 58894248236 73617810295 91853414680 117788496472 147235620590 250300555003 294471241180 500601110006 588942482360 1001202220012 1251502775015 2002404440024 2503005550030 5006011100060 10012022200120