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2121111111020 = 2251159439372241
BaseRepresentation
bin11110110111011100000…
…100110000010101101100
321111202221212202202020112
4132313130010300111230
5234223013421023040
64302231444235152
7306150052651136
oct36673404602554
97452855682215
102121111111020
11748615a1a080
122a310399bab8
131250349bc885
147493b5c8056
153a2957b1365
hex1eddc13056c

2121111111020 has 96 divisors (see below), whose sum is σ = 4952903155200. Its totient is φ = 756510796800.

The previous prime is 2121111111019. The next prime is 2121111111029. The reversal of 2121111111020 is 201111111212.

It is a super-2 number, since 2×21211111110202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121111110986 and 2121111111004.

It is not an unprimeable number, because it can be changed into a prime (2121111111029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5512100 + ... + 5884340.

It is an arithmetic number, because the mean of its divisors is an integer number (51592741200).

Almost surely, 22121111111020 is an apocalyptic number.

2121111111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121111111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476451577600).

2121111111020 is an abundant number, since it is smaller than the sum of its proper divisors (2831792044180).

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

2121111111020 is a wasteful number, since it uses less digits than its factorization.

2121111111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372759 (or 372757 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2121111111020 its reverse (201111111212), we get a palindrome (2322222222232).

The spelling of 2121111111020 in words is "two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 439 590 649 878 1180 1298 1756 2195 2596 3245 4390 4829 6490 8780 9658 12980 19316 24145 25901 48290 51802 96580 103604 129505 259010 284911 372241 518020 569822 744482 1139644 1424555 1488964 1861205 2849110 3722410 4094651 5698220 7444820 8189302 16378604 20473255 21962219 40946510 43924438 81893020 87848876 109811095 163413799 219622190 241584409 326827598 439244380 483168818 653655196 817068995 966337636 1207922045 1634137990 1797551789 2415844090 3268275980 3595103578 4831688180 7190207156 8987758945 9641414141 17975517890 19282828282 35951035780 38565656564 48207070705 96414141410 106055555551 192828282820 212111111102 424222222204 530277777755 1060555555510 2121111111020