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1012002121020 = 2235112775535511
BaseRepresentation
bin11101011101000000000…
…01101110010100111100
310120202011011112100022210
432232200001232110330
5113040040020333040
62052523553340420
7133054233045342
oct16564001562474
93522134470283
101012002121020
113602078a6080
12144171567710
137457b9c38b7
1436da4457992
151b4d02a5480
hexeba006e53c

1012002121020 has 96 divisors (see below), whose sum is σ = 3102366629376. Its totient is φ = 244448121600.

The previous prime is 1012002121003. The next prime is 1012002121043. The reversal of 1012002121020 is 201212002101.

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 = 1012002120987 and 1012002121005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2584936 + ... + 2950575.

It is an arithmetic number, because the mean of its divisors is an integer number (32316319056).

Almost surely, 21012002121020 is an apocalyptic number.

1012002121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012002121020 is an abundant number, since it is smaller than the sum of its proper divisors (2090364508356).

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

1012002121020 is a wasteful number, since it uses less digits than its factorization.

1012002121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5535811 (or 5535809 counting only the distinct ones).

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

Adding to 1012002121020 its reverse (201212002101), we get a palindrome (1213214123121).

The spelling of 1012002121020 in words is "one trillion, twelve billion, two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 277 330 554 660 831 1108 1385 1662 2770 3047 3324 4155 5540 6094 8310 9141 12188 15235 16620 18282 30470 36564 45705 60940 91410 182820 5535511 11071022 16606533 22142044 27677555 33213066 55355110 60890621 66426132 83032665 110710220 121781242 166065330 182671863 243562484 304453105 332130660 365343726 608906210 730687452 913359315 1217812420 1533336547 1826718630 3066673094 3653437260 4600009641 6133346188 7666682735 9200019282 15333365470 16866702017 18400038564 23000048205 30666730940 33733404034 46000096410 50600106051 67466808068 84333510085 92000192820 101200212102 168667020170 202400424204 253000530255 337334040340 506001060510 1012002121020