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2100122221220 = 225709721320533
BaseRepresentation
bin11110100011111001000…
…010011111101010100100
321102202210010110200012122
4132203321002133222210
5233402022242034340
64244441031405112
7304504662225452
oct36437102375244
97382703420178
102100122221220
1173a725275561
1229b026823798
1312306b497a5a
1473909c479d2
1539967d0adb5
hex1e8f909faa4

2100122221220 has 48 divisors (see below), whose sum is σ = 4417304470320. Its totient is φ = 838706904576.

The previous prime is 2100122221217. The next prime is 2100122221229. The reversal of 2100122221220 is 221222210012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11142244 + 2100111078976 = 3338^2 + 1449176^2 .

It is not an unprimeable number, because it can be changed into a prime (2100122221229) 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, 102270074 + ... + 102290606.

It is an arithmetic number, because the mean of its divisors is an integer number (92027176465).

Almost surely, 22100122221220 is an apocalyptic number.

2100122221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100122221220 is an abundant number, since it is smaller than the sum of its proper divisors (2317182249100).

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

2100122221220 is a wasteful number, since it uses less digits than its factorization.

2100122221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28464 (or 28462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2100122221220 its reverse (221222210012), we get a palindrome (2321344431232).

The spelling of 2100122221220 in words is "two trillion, one hundred billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 709 1418 2836 3545 7090 7213 14180 14426 20533 28852 36065 41066 72130 82132 102665 144260 205330 410660 5114017 10228034 14557897 20456068 25570085 29115794 51140170 58231588 72789485 102280340 145578970 148104529 291157940 296209058 592418116 740522645 1481045290 2962090580 105006111061 210012222122 420024444244 525030555305 1050061110610 2100122221220