Search a number
-
+
1011012000020 = 2251145533100927
BaseRepresentation
bin11101011011001010000…
…00101101100100010100
310120122121011102222122122
432231211000231210110
5113031023033000040
62052241423515112
7133020551131241
oct16554500554424
93518534388578
101011012000020
1135a849a0a560
12143b35a58a98
1374451835199
1436d0cb5c5c8
151b4733c61b5
hexeb6502d914

1011012000020 has 48 divisors (see below), whose sum is σ = 2316210398208. Its totient is φ = 367629010560.

The previous prime is 1011012000007. The next prime is 1011012000071. The reversal of 1011012000020 is 200002101101.

It is a junction number, because it is equal to n+sod(n) for n = 1011011999971 and 1011012000007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9966797 + ... + 10067723.

It is an arithmetic number, because the mean of its divisors is an integer number (48254383296).

Almost surely, 21011012000020 is an apocalyptic number.

1011012000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011012000020 is an abundant number, since it is smaller than the sum of its proper divisors (1305198398188).

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

1011012000020 is a wasteful number, since it uses less digits than its factorization.

1011012000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146480 (or 146478 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1011012000020 its reverse (200002101101), we get a palindrome (1211014101121).

The spelling of 1011012000020 in words is "one trillion, eleven billion, twelve million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 45533 91066 100927 182132 201854 227665 403708 455330 500863 504635 910660 1001726 1009270 1110197 2003452 2018540 2220394 2504315 4440788 5008630 5550985 10017260 11101970 22203940 4595509091 9191018182 18382036364 22977545455 45955090910 50550600001 91910181820 101101200002 202202400004 252753000005 505506000010 1011012000020