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210021022201120 = 25513100971645289
BaseRepresentation
bin101111110000001101010100…
…011011000111010100100000
31000112121210222010211202222021
4233300031110123013110200
5210011441023140413440
62022402154201151224
762144342500514164
oct5760152433072440
91015553863752867
10210021022201120
1160a124628831a9
121b67b59348b514
139025b88803460
1439c1100ac4ca4
1519431de86784a
hexbf03546c7520

210021022201120 has 48 divisors (see below), whose sum is σ = 534341946874680. Its totient is φ = 77546223581184.

The previous prime is 210021022201063. The next prime is 210021022201121. The reversal of 210021022201120 is 21102220120012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 184287032455696 + 25733989745424 = 13575236^2 + 5072868^2 .

It is a super-3 number, since 3×2100210222011203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210021022201094 and 210021022201103.

It is not an unprimeable number, because it can be changed into a prime (210021022201121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50485820565 + ... + 50485824724.

Almost surely, 2210021022201120 is an apocalyptic number.

210021022201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021022201120 is an abundant number, since it is smaller than the sum of its proper divisors (324320924673560).

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

210021022201120 is a wasteful number, since it uses less digits than its factorization.

210021022201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100971645317 (or 100971645309 counting only the distinct ones).

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

Adding to 210021022201120 its reverse (21102220120012), we get a palindrome (231123242321132).

The spelling of 210021022201120 in words is "two hundred ten trillion, twenty-one billion, twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 100971645289 201943290578 403886581156 504858226445 807773162312 1009716452890 1312631388757 1615546324624 2019432905780 2625262777514 3231092649248 4038865811560 5250525555028 6563156943785 8077731623120 10501051110056 13126313887570 16155463246240 21002102220112 26252627775140 42004204440224 52505255550280 105010511100560 210021022201120