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1011020011020 = 2232518127309857
BaseRepresentation
bin11101011011001010111…
…11010001011000001100
310120122121201111222200100
432231211133101120030
5113031032110323040
62052242311331100
7133021006205025
oct16554537213014
93518551458610
101011020011020
1135a853491318
12143b38680a90
13744533ab616
1436d0dc45c4c
151b473e59b30
hexeb657d160c

1011020011020 has 72 divisors (see below), whose sum is σ = 3066939779904. Its totient is φ = 269589593088.

The previous prime is 1011020011003. The next prime is 1011020011021. The reversal of 1011020011020 is 201100201101.

It is a happy number.

It is a super-2 number, since 2×10110200110202 (a number of 25 digits) contains 22 as substring.

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 = 1011020010993 and 1011020011011.

It is not an unprimeable number, because it can be changed into a prime (1011020011021) 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, 3107932 + ... + 3417788.

It is an arithmetic number, because the mean of its divisors is an integer number (42596385832).

Almost surely, 21011020011020 is an apocalyptic number.

1011020011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011020011020 is an abundant number, since it is smaller than the sum of its proper divisors (2055919768884).

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

1011020011020 is a wasteful number, since it uses less digits than its factorization.

1011020011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327999 (or 327994 counting only the distinct ones).

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

Adding to 1011020011020 its reverse (201100201101), we get a palindrome (1212120212121).

The spelling of 1011020011020 in words is "one trillion, eleven billion, twenty million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18127 36254 54381 72508 90635 108762 163143 181270 217524 271905 309857 326286 362540 543810 619714 652572 815715 929571 1087620 1239428 1549285 1631430 1859142 2788713 3098570 3262860 3718284 4647855 5577426 6197140 9295710 11154852 13943565 18591420 27887130 55774260 5616777839 11233555678 16850333517 22467111356 28083889195 33700667034 50551000551 56167778390 67401334068 84251667585 101102001102 112335556780 168503335170 202204002204 252755002755 337006670340 505510005510 1011020011020