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210021012022120 = 23513463872325187
BaseRepresentation
bin101111110000001101010011…
…110100010010001101101000
31000112121210221102200122000021
4233300031103310102031220
5210011441013034201440
62022402153155050224
762144342315140615
oct5760152364221550
91015553842618007
10210021012022120
1160a12458060602
121b67b58bba0974
139025b8667b290
1439c10dd5d550c
1519431dda0684a
hexbf0353d12368

210021012022120 has 64 divisors (see below), whose sum is σ = 509996197912320. Its totient is φ = 77378733298944.

The previous prime is 210021012022111. The next prime is 210021012022127. The reversal of 210021012022120 is 21220210120012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210021012022094 and 210021012022103.

It is not an unprimeable number, because it can be changed into a prime (210021012022127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435921834 + ... + 436403353.

It is an arithmetic number, because the mean of its divisors is an integer number (7968690592380).

Almost surely, 2210021012022120 is an apocalyptic number.

210021012022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021012022120 is an abundant number, since it is smaller than the sum of its proper divisors (299975185890200).

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

210021012022120 is a wasteful number, since it uses less digits than its factorization.

210021012022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872325674 (or 872325670 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210021012022120 its reverse (21220210120012), we get a palindrome (231241222142132).

The spelling of 210021012022120 in words is "two hundred ten trillion, twenty-one billion, twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 463 520 926 1852 2315 3704 4630 6019 9260 12038 18520 24076 30095 48152 60190 120380 240760 872325187 1744650374 3489300748 4361625935 6978601496 8723251870 11340227431 17446503740 22680454862 34893007480 45360909724 56701137155 90721819448 113402274310 226804548620 403886561581 453609097240 807773123162 1615546246324 2019432807905 3231092492648 4038865615810 5250525300553 8077731231620 10501050601106 16155462463240 21002101202212 26252626502765 42004202404424 52505253005530 105010506011060 210021012022120