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210202200210020 = 22529362417586569
BaseRepresentation
bin101111110010110110000011…
…011110010111101001100100
31000120021010121202020020122012
4233302312003132113221210
5210022423101223210040
62023021320242453352
762163415322261444
oct5762660336275144
91016233552206565
10210202200210020
1160a82286070957
121b6aa717664258
139039ca050c695
1439c9bab128124
151947c956b5865
hexbf2d83797a64

210202200210020 has 24 divisors (see below), whose sum is σ = 456646159078200. Its totient is φ = 81181539391232.

The previous prime is 210202200210019. The next prime is 210202200210043. The reversal of 210202200210020 is 20012002202012.

It can be written as a sum of positive squares in 4 ways, for example, as 359858413924 + 209842341796096 = 599882^2 + 14485936^2 .

It is a super-3 number, since 3×2102022002100203 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210202200209977 and 210202200210004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181208792705 + ... + 181208793864.

It is an arithmetic number, because the mean of its divisors is an integer number (19026923294925).

Almost surely, 2210202200210020 is an apocalyptic number.

210202200210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202200210020 is an abundant number, since it is smaller than the sum of its proper divisors (246443958868180).

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

210202200210020 is a wasteful number, since it uses less digits than its factorization.

210202200210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362417586607 (or 362417586605 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 210202200210020 its reverse (20012002202012), we get a palindrome (230214202412032).

The spelling of 210202200210020 in words is "two hundred ten trillion, two hundred two billion, two hundred million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 362417586569 724835173138 1449670346276 1812087932845 3624175865690 7248351731380 10510110010501 21020220021002 42040440042004 52550550052505 105101100105010 210202200210020