Search a number
-
+
20101010011020 = 2234512408030871
BaseRepresentation
bin1001001001000001000011…
…00011111011001110001100
32122011122012221121201120000
410210200201203323032030
510113313332030323040
6110430135421124300
74143151523654631
oct444404143731614
978148187551500
1020101010011020
11644a877134394
1223078636b9690
13b2a695127223
144d6c734b4188
1524cd17acd130
hex1248218fb38c

20101010011020 has 60 divisors (see below), whose sum is σ = 63057612891504. Its totient is φ = 5360269335840.

The previous prime is 20101010011003. The next prime is 20101010011031. The reversal of 20101010011020 is 2011001010102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20101010010993 and 20101010011011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6204013816 + ... + 6204017055.

Almost surely, 220101010011020 is an apocalyptic number.

20101010011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101010011020 is an abundant number, since it is smaller than the sum of its proper divisors (42956602880484).

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

20101010011020 is a wasteful number, since it uses less digits than its factorization.

20101010011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12408030892 (or 12408030881 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101010011020 its reverse (2011001010102), we get a palindrome (22112011021122).

The spelling of 20101010011020 in words is "twenty trillion, one hundred one billion, ten million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 12408030871 24816061742 37224092613 49632123484 62040154355 74448185226 111672277839 124080308710 148896370452 186120463065 223344555678 248160617420 335016833517 372240926130 446689111356 558361389195 670033667034 744481852260 1005050500551 1116722778390 1340067334068 1675084167585 2010101001102 2233445556780 3350168335170 4020202002204 5025252502755 6700336670340 10050505005510 20101010011020