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1021010201010 = 2375232029801
BaseRepresentation
bin11101101101110001111…
…00110100100110110010
310121121101221211020000000
432312320330310212302
5113212012102413020
62101013504010430
7133523404341252
oct16667074644662
93547357736000
101021010201010
1136400a705988
12145a66300a16
1375386042847
14375ba973962
151b85b02b090
hexedb8f349b2

1021010201010 has 128 divisors (see below), whose sum is σ = 2876148241920. Its totient is φ = 260431459200.

The previous prime is 1021010200919. The next prime is 1021010201027. The reversal of 1021010201010 is 101020101201.

It is a happy number.

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 = 1021010200983 and 1021010201001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 511891 + ... + 1517910.

It is an arithmetic number, because the mean of its divisors is an integer number (22469908140).

Almost surely, 21021010201010 is an apocalyptic number.

1021010201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021010201010 is an abundant number, since it is smaller than the sum of its proper divisors (1855138040910).

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

1021010201010 is an equidigital number, since it uses as much as digits as its factorization.

1021010201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029852 (or 2029834 counting only the distinct ones).

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

Adding to 1021010201010 its reverse (101020101201), we get a palindrome (1122030302211).

The spelling of 1021010201010 in words is "one trillion, twenty-one billion, ten million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 243 270 345 405 414 486 621 690 729 810 1035 1215 1242 1458 1863 2070 2187 2430 3105 3645 3726 4374 5589 6210 7290 9315 10935 11178 16767 18630 21870 27945 33534 50301 55890 83835 100602 167670 251505 503010 2029801 4059602 6089403 10149005 12178806 18268209 20298010 30447015 36536418 46685423 54804627 60894030 91341045 93370846 109609254 140056269 164413881 182682090 233427115 274023135 280112538 328827762 420168807 466854230 493241643 548046270 700281345 822069405 840337614 986483286 1260506421 1400562690 1479724929 1644138810 2100844035 2466208215 2521012842 2959449858 3781519263 4201688070 4439174787 4932416430 6302532105 7398624645 7563038526 8878349574 11344557789 12605064210 14797249290 18907596315 22195873935 22689115578 34033673367 37815192630 44391747870 56722788945 68067346734 102101020101 113445577890 170168366835 204202040202 340336733670 510505100505 1021010201010