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1003104100020 = 2235112366080639
BaseRepresentation
bin11101001100011011010…
…10011101111010110100
310112220012001100001012110
432212031222131322310
5112413324122200040
62044453014051020
7132320566111221
oct16461552357264
93486161301173
101003104100020
11357461128210
121424a9649a70
13737913cab09
143679c7ca948
151b15e01e980
hexe98da9deb4

1003104100020 has 96 divisors (see below), whose sum is σ = 3197245685760. Its totient is φ = 232603845760.

The previous prime is 1003104100007. The next prime is 1003104100067. The reversal of 1003104100020 is 200014013001.

It is a happy number.

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 = 1003104099969 and 1003104100005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 33025140 + ... + 33055499.

It is an arithmetic number, because the mean of its divisors is an integer number (33304642560).

Almost surely, 21003104100020 is an apocalyptic number.

1003104100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003104100020 is an abundant number, since it is smaller than the sum of its proper divisors (2194141585740).

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

1003104100020 is a wasteful number, since it uses less digits than its factorization.

1003104100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66080685 (or 66080683 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1003104100020 its reverse (200014013001), we get a palindrome (1203118113021).

The spelling of 1003104100020 in words is "one trillion, three billion, one hundred four million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 15180 66080639 132161278 198241917 264322556 330403195 396483834 660806390 726887029 792967668 991209585 1321612780 1453774058 1519854697 1982419170 2180661087 2907548116 3039709394 3634435145 3964838340 4361322174 4559564091 6079418788 7268870290 7599273485 8722644348 9119128182 10903305435 14537740580 15198546970 16718401667 18238256364 21806610870 22797820455 30397093940 33436803334 43613221740 45595640910 50155205001 66873606668 83592008335 91191281820 100310410002 167184016670 200620820004 250776025005 334368033340 501552050010 1003104100020