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1002010000020 = 223543397978277
BaseRepresentation
bin11101001010011000111…
…00110011101010010100
310112210100210121000011020
432211030130303222110
5112404104030000040
62044152251441140
7132251512320261
oct16451434635224
93483323530136
101002010000020
11356a4a582737
121422431561b0
1373648834773
14366d7386268
151b0e7e51cd0
hexe94c733a94

1002010000020 has 96 divisors (see below), whose sum is σ = 2878109528448. Its totient is φ = 260330982912.

The previous prime is 1002010000009. The next prime is 1002010000093. The reversal of 1002010000020 is 200000102001.

It is a happy number.

1002010000020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1002009999963 and 1002010000008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535122 + ... + 1513398.

It is an arithmetic number, because the mean of its divisors is an integer number (29980307588).

Almost surely, 21002010000020 is an apocalyptic number.

1002010000020 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 1002010000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439054764224).

1002010000020 is an abundant number, since it is smaller than the sum of its proper divisors (1876099528428).

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

1002010000020 is a wasteful number, since it uses less digits than its factorization.

1002010000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978729 (or 978727 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1002010000020 its reverse (200000102001), we get a palindrome (1202010102021).

The spelling of 1002010000020 in words is "one trillion, two billion, ten million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 397 430 516 645 794 860 1191 1290 1588 1985 2382 2580 3970 4764 5955 7940 11910 17071 23820 34142 51213 68284 85355 102426 170710 204852 256065 341420 512130 978277 1024260 1956554 2934831 3913108 4891385 5869662 9782770 11739324 14674155 19565540 29348310 42065911 58696620 84131822 126197733 168263644 210329555 252395466 388375969 420659110 504790932 630988665 776751938 841318220 1165127907 1261977330 1553503876 1941879845 2330255814 2523954660 3883759690 4660511628 5825639535 7767519380 11651279070 16700166667 23302558140 33400333334 50100500001 66800666668 83500833335 100201000002 167001666670 200402000004 250502500005 334003333340 501005000010 1002010000020