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1001021212020 = 223547911389651
BaseRepresentation
bin11101001000100011000…
…00111000010101110100
310112200210220000101000110
432210101200320111310
5112400042412241040
62043510210343020
7132215144624364
oct16442140702564
93480726011013
101001021212020
11356592417675
12142007b8aa70
137351ba219cb
1436641d169a4
151b08b237980
hexe911838574

1001021212020 has 96 divisors (see below), whose sum is σ = 2865644199936. Its totient is φ = 260971984000.

The previous prime is 1001021212007. The next prime is 1001021212027. The reversal of 1001021212020 is 202121201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001021211987 and 1001021212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001021212027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2374195 + ... + 2763845.

It is an arithmetic number, because the mean of its divisors is an integer number (29850460416).

Almost surely, 21001021212020 is an apocalyptic number.

1001021212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001021212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432822099968).

1001021212020 is an abundant number, since it is smaller than the sum of its proper divisors (1864622987916).

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

1001021212020 is a wasteful number, since it uses less digits than its factorization.

1001021212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390621 (or 390619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001021212020 its reverse (202121201001), we get a palindrome (1203142413021).

The spelling of 1001021212020 in words is "one trillion, one billion, twenty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 911 940 1410 1822 2733 2820 3644 4555 5466 9110 10932 13665 18220 27330 42817 54660 85634 128451 171268 214085 256902 389651 428170 513804 642255 779302 856340 1168953 1284510 1558604 1948255 2337906 2569020 3896510 4675812 5844765 7793020 11689530 18313597 23379060 36627194 54940791 73254388 91567985 109881582 183135970 219763164 274703955 354972061 366271940 549407910 709944122 1064916183 1098815820 1419888244 1774860305 2129832366 3549720610 4259664732 5324580915 7099441220 10649161830 16683686867 21298323660 33367373734 50051060601 66734747468 83418434335 100102121202 166836868670 200204242404 250255303005 333673737340 500510606010 1001021212020