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200210102010980 = 225411800771355857
BaseRepresentation
bin101101100001011100001100…
…000000101100010001100100
3222020212220021020122001221122
4231201130030000230101210
5202220220242103322410
61545451130124433112
760112462653042545
oct5541341400542144
9866786236561848
10200210102010980
115887a69a133956
121a5560860a8798
138793968464439
1437623136204cc
151822dce321e55
hexb6170c02c464

200210102010980 has 48 divisors (see below), whose sum is σ = 430698587373936. Its totient is φ = 78130280017920.

The previous prime is 200210102010979. The next prime is 200210102011027. The reversal of 200210102010980 is 89010201012002.

It can be written as a sum of positive squares in 8 ways, for example, as 2038938391396 + 198171163619584 = 1427914^2 + 14077328^2 .

It is a super-3 number, since 3×2002101020109803 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146985212 + ... + 148341068.

It is an arithmetic number, because the mean of its divisors is an integer number (8972887236957).

Almost surely, 2200210102010980 is an apocalyptic number.

200210102010980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210102010980 is an abundant number, since it is smaller than the sum of its proper divisors (230488485362956).

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

200210102010980 is a wasteful number, since it uses less digits than its factorization.

200210102010980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535984 (or 1535982 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 200210102010980 its reverse (89010201012002), we get a palindrome (289220303022982).

The spelling of 200210102010980 in words is "two hundred trillion, two hundred ten billion, one hundred two million, ten thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 180077 360154 720308 900385 1355857 1800770 2711714 3601540 5423428 6779285 7383157 13558570 14766314 27117140 29532628 36915785 55590137 73831570 111180274 147663140 222360548 277950685 555901370 1111802740 244158660989 488317321978 976634643956 1220793304945 2441586609890 4883173219780 10010505100549 20021010201098 40042020402196 50052525502745 100105051005490 200210102010980