Search a number
-
+
20020100000100 = 22352620310758289
BaseRepresentation
bin1001000110101010010101…
…11100101110100101100100
32121212220101012011022020220
410203111022330232211210
510111002131100000400
6110325035034524340
74134255512141154
oct443251274564544
977786335138226
1020020100000100
116419527588672
1222b4042b966b0
13b22b6c602215
144d2d99934764
1524ab7e7a67a0
hex12354af2e964

20020100000100 has 72 divisors (see below), whose sum is σ = 57934166246880. Its totient is φ = 5337832174080.

The previous prime is 20020100000011. The next prime is 20020100000107. The reversal of 20020100000100 is 100000102002.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (20020100000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3518245 + ... + 7240044.

Almost surely, 220020100000100 is an apocalyptic number.

20020100000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020100000100 is an abundant number, since it is smaller than the sum of its proper divisors (37914066246780).

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

20020100000100 is a wasteful number, since it uses less digits than its factorization.

20020100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10764509 (or 10764502 counting only the distinct ones).

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

Adding to 20020100000100 its reverse (100000102002), we get a palindrome (20120100102102).

The spelling of 20020100000100 in words is "twenty trillion, twenty billion, one hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 6203 12406 18609 24812 31015 37218 62030 74436 93045 124060 155075 186090 310150 372180 465225 620300 930450 1860900 10758289 21516578 32274867 43033156 53791445 64549734 107582890 129099468 161374335 215165780 268957225 322748670 537914450 645497340 806871675 1075828900 1613743350 3227486700 66733666667 133467333334 200201000001 266934666668 333668333335 400402000002 667336666670 800804000004 1001005000005 1334673333340 1668341666675 2002010000010 3336683333350 4004020000020 5005025000025 6673366666700 10010050000050 20020100000100