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20312103220020 = 223651393148369
BaseRepresentation
bin1001001111001010001111…
…01100100111001100110100
32122220211002101201211000000
410213211013230213030310
510130243141411020040
6111111130145151300
74164333565434063
oct447450754471464
978824071654000
1020312103220020
116521350806707
12234075632b530
13b445667774a1
1450317a9aa1da
1525356eda4130
hex127947b27334

20312103220020 has 84 divisors (see below), whose sum is σ = 63953869073220. Its totient is φ = 5416560854784.

The previous prime is 20312103219983. The next prime is 20312103220037. The reversal of 20312103220020 is 2002230121302.

20312103220020 is a `hidden beast` number, since 2 + 0 + 312 + 10 + 322 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2364035401764 + 17948067818256 = 1537542^2 + 4236516^2 .

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 = 20312103219975 and 20312103220002.

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 27 ways as a sum of consecutive naturals, for example, 696559605 + ... + 696588764.

It is an arithmetic number, because the mean of its divisors is an integer number (761355584205).

Almost surely, 220312103220020 is an apocalyptic number.

20312103220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312103220020 is an abundant number, since it is smaller than the sum of its proper divisors (43641765853200).

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

20312103220020 is a wasteful number, since it uses less digits than its factorization.

20312103220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393148396 (or 1393148379 counting only the distinct ones).

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

Adding to 20312103220020 its reverse (2002230121302), we get a palindrome (22314333341322).

The spelling of 20312103220020 in words is "twenty trillion, three hundred twelve billion, one hundred three million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 1393148369 2786296738 4179445107 5572593476 6965741845 8358890214 12538335321 13931483690 16717780428 20897225535 25076670642 27862967380 37615005963 41794451070 50153341284 62691676605 75230011926 83588902140 112845017889 125383353210 150460023852 188075029815 225690035778 250766706420 338535053667 376150059630 451380071556 564225089445 677070107334 752300119260 1015605161001 1128450178890 1354140214668 1692675268335 2031210322002 2256900357780 3385350536670 4062420644004 5078025805005 6770701073340 10156051610010 20312103220020