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1001101020210 = 232537300630937
BaseRepresentation
bin11101001000101100100…
…01010100110000110010
310112201000110012001021100
432210112101110300302
5112400223330121320
62043522141105230
7132220134161334
oct16442621246062
93481013161240
101001101020210
11356623477755
1214202a858216
13735324159a5
143664c76d454
151b09324e790
hexe916454c32

1001101020210 has 48 divisors (see below), whose sum is σ = 2673210300696. Its totient is φ = 259745128704.

The previous prime is 1001101020209. The next prime is 1001101020281. The reversal of 1001101020210 is 120201011001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 722579902209 + 278521118001 = 850047^2 + 527751^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1001101020192 and 1001101020201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150312139 + ... + 150318798.

Almost surely, 21001101020210 is an apocalyptic number.

1001101020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001101020210 is an abundant number, since it is smaller than the sum of its proper divisors (1672109280486).

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

1001101020210 is a wasteful number, since it uses less digits than its factorization.

1001101020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300630987 (or 300630984 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001101020210 its reverse (120201011001), we get a palindrome (1121302031211).

The spelling of 1001101020210 in words is "one trillion, one billion, one hundred one million, twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 300630937 601261874 901892811 1503154685 1803785622 2705678433 3006309370 4509464055 5411356866 9018928110 11123344669 13528392165 22246689338 27056784330 33370034007 55616723345 66740068014 100110102021 111233446690 166850170035 200220204042 333700340070 500550510105 1001101020210