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211120200001020 = 223531111314051447
BaseRepresentation
bin110000000000001101000000…
…100001101010010111111100
31000200111220010201210110012110
4300000031000201222113330
5210132443132200013040
62025003140404134020
762316634236613662
oct6000150041522774
91020456121713173
10211120200001020
11612a6635010082
121b818613997310
1390a571b154b9b
143a1c3b4cc4c32
151961ac3058980
hexc0034086a5fc

211120200001020 has 48 divisors (see below), whose sum is σ = 593037320698368. Its totient is φ = 56117695172160.

The previous prime is 211120200000973. The next prime is 211120200001027. The reversal of 211120200001020 is 20100002021112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211120200000987 and 211120200001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120200001027) 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, 5657007064 + ... + 5657044383.

It is an arithmetic number, because the mean of its divisors is an integer number (12354944181216).

Almost surely, 2211120200001020 is an apocalyptic number.

211120200001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120200001020 is an abundant number, since it is smaller than the sum of its proper divisors (381917120697348).

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

211120200001020 is a wasteful number, since it uses less digits than its factorization.

211120200001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11314051770 (or 11314051768 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211120200001020 its reverse (20100002021112), we get a palindrome (231220202022132).

The spelling of 211120200001020 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 311 622 933 1244 1555 1866 3110 3732 4665 6220 9330 18660 11314051447 22628102894 33942154341 45256205788 56570257235 67884308682 113140514470 135768617364 169710771705 226281028940 339421543410 678843086820 3518670000017 7037340000034 10556010000051 14074680000068 17593350000085 21112020000102 35186700000170 42224040000204 52780050000255 70373400000340 105560100000510 211120200001020