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1001202011010 = 2325389122923269
BaseRepresentation
bin11101001000111000100…
…10100100101110000010
310112201021111012220121100
432210130102210232002
5112400430203323020
62043540145435230
7132222501451215
oct16443422445602
93481244186540
101001202011010
11356675485623
1214205863bb16
137354a315466
143665bd3b77c
151b09c04ca90
hexe91c4a4b82

1001202011010 has 96 divisors (see below), whose sum is σ = 2612052846000. Its totient is φ = 266072744448.

The previous prime is 1001202010969. The next prime is 1001202011021. The reversal of 1001202011010 is 101102021001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 578529093321 + 422672917689 = 760611^2 + 650133^2 .

It is a super-2 number, since 2×10012020110102 (a number of 25 digits) contains 22 as substring.

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 = 1001202010983 and 1001202011001.

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 47 ways as a sum of consecutive naturals, for example, 43015656 + ... + 43038924.

Almost surely, 21001202011010 is an apocalyptic number.

1001202011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001202011010 is an abundant number, since it is smaller than the sum of its proper divisors (1610850834990).

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

1001202011010 is a wasteful number, since it uses less digits than its factorization.

1001202011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24900 (or 24897 counting only the distinct ones).

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

Adding to 1001202011010 its reverse (101102021001), we get a palindrome (1102304032011).

Subtracting from 1001202011010 its reverse (101102021001), we obtain a palindrome (900099990009).

The spelling of 1001202011010 in words is "one trillion, one billion, two hundred two million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 389 778 1167 1229 1945 2334 2458 3501 3687 3890 5835 6145 7002 7374 11061 11670 12290 17505 18435 22122 23269 35010 36870 46538 55305 69807 110610 116345 139614 209421 232690 349035 418842 478081 698070 956162 1047105 1434243 2094210 2390405 2868486 4302729 4780810 7171215 8605458 9051641 14342430 18103282 21513645 27154923 28597601 43027290 45258205 54309846 57195202 81464769 85792803 90516410 135774615 142988005 162929538 171585606 257378409 271549230 285976010 407323845 428964015 514756818 814647690 857928030 1286892045 2573784090 11124466789 22248933578 33373400367 55622333945 66746800734 100120201101 111244667890 166867001835 200240402202 333734003670 500601005505 1001202011010