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20012103203220 = 22325126961875689
BaseRepresentation
bin1001000110011011011100…
…10011010111100110010100
32121212010201212202221012200
410203031232103113212110
510110334241410000340
6110321233331444500
74133553400401432
oct443155623274624
977763655687180
1020012103203220
1164160a35a8827
1222b2590a56730
13b2219694104b
144d283b861d52
1524a8626e0330
hex12336e4d7994

20012103203220 has 72 divisors (see below), whose sum is σ = 60703927163880. Its totient is φ = 5336512727040.

The previous prime is 20012103203177. The next prime is 20012103203303. The reversal of 20012103203220 is 2230230121002.

20012103203220 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 21 + 0 + 320 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4262523609744 + 15749579593476 = 2064588^2 + 3968574^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20012103203193 and 20012103203202.

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 23 ways as a sum of consecutive naturals, for example, 22415136 + ... + 23290824.

Almost surely, 220012103203220 is an apocalyptic number.

20012103203220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012103203220 is an abundant number, since it is smaller than the sum of its proper divisors (40691823960660).

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

20012103203220 is a wasteful number, since it uses less digits than its factorization.

20012103203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002665 (or 1002660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20012103203220 its reverse (2230230121002), we get a palindrome (22242333324222).

The spelling of 20012103203220 in words is "twenty trillion, twelve billion, one hundred three million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 126961 253922 380883 507844 634805 761766 875689 1142649 1269610 1523532 1751378 1904415 2285298 2539220 2627067 3502756 3808830 4378445 4570596 5254134 5713245 7617660 7881201 8756890 10508268 11426490 13135335 15762402 17513780 22852980 26270670 31524804 39406005 52541340 78812010 157624020 111178351129 222356702258 333535053387 444713404516 555891755645 667070106774 1000605160161 1111783511290 1334140213548 1667675266935 2001210320322 2223567022580 3335350533870 4002420640644 5003025800805 6670701067740 10006051601610 20012103203220