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20000210100020 = 2251758824147353
BaseRepresentation
bin1001000110000101010010…
…11010110001111100110100
32121211000001000210200200222
410203002221122301330310
510110140412241200040
6110311545241153512
74132652564603243
oct443025132617464
977730030720628
1020000210100020
116411050219317
1222b0211a8b898
13b2101c996287
144d203010c95a
1524a3b8537bb5
hex1230a96b1f34

20000210100020 has 24 divisors (see below), whose sum is σ = 44471055399624. Its totient is φ = 7529490861056.

The previous prime is 20000210100019. The next prime is 20000210100023. The reversal of 20000210100020 is 2000101200002.

It can be written as a sum of positive squares in 4 ways, for example, as 5297924165284 + 14702285934736 = 2301722^2 + 3834356^2 .

It is a super-4 number, since 4×200002101000204 (a number of 54 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20000210099980 and 20000210100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000210100023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29412073337 + ... + 29412074016.

It is an arithmetic number, because the mean of its divisors is an integer number (1852960641651).

Almost surely, 220000210100020 is an apocalyptic number.

20000210100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000210100020 is an abundant number, since it is smaller than the sum of its proper divisors (24470845299604).

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

20000210100020 is a wasteful number, since it uses less digits than its factorization.

20000210100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58824147379 (or 58824147377 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20000210100020 its reverse (2000101200002), we get a palindrome (22000311300022).

The spelling of 20000210100020 in words is "twenty trillion, two hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 58824147353 117648294706 235296589412 294120736765 588241473530 1000010505001 1176482947060 2000021010002 4000042020004 5000052525005 10000105050010 20000210100020