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200010102021 = 3237600630937
BaseRepresentation
bin1011101001000110000…
…1111111010100000101
3201010021001021220212100
42322101201333110011
511234110041231041
6231514450342313
720310302546652
oct2722141772405
9633231256770
10200010102021
1177907540a84
123291ab8a999
1315b264482c2
149975590c29
1553092bc6b6
hex2e9187f505

200010102021 has 12 divisors (see below), whose sum is σ = 296711683372. Its totient is φ = 129736282176.

The previous prime is 200010101981. The next prime is 200010102031. The reversal of 200010102021 is 120201010002.

200010102021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 157208285025 + 42801816996 = 396495^2 + 206886^2 .

It is not a de Polignac number, because 200010102021 - 26 = 200010101957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200010101994 and 200010102012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200010102031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300315136 + ... + 300315801.

Almost surely, 2200010102021 is an apocalyptic number.

It is an amenable number.

200010102021 is a deficient number, since it is larger than the sum of its proper divisors (96701581351).

200010102021 is a wasteful number, since it uses less digits than its factorization.

200010102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600630980 (or 600630977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200010102021 its reverse (120201010002), we get a palindrome (320211112023).

The spelling of 200010102021 in words is "two hundred billion, ten million, one hundred two thousand, twenty-one".

Divisors: 1 3 9 37 111 333 600630937 1801892811 5405678433 22223344669 66670034007 200010102021