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11301021020 = 22519232944587
BaseRepresentation
bin10101000011001011…
…11110010101011100
31002011120212100110002
422201211332111130
5141121030133040
65105220033432
7550023044102
oct124145762534
932146770402
1011301021020
11487a14a3a3
122234832878
1310b13c20b3
14792c6bc72
15462200a15
hex2a197e55c

11301021020 has 96 divisors (see below), whose sum is σ = 26966822400. Its totient is φ = 3954956544.

The previous prime is 11301021013. The next prime is 11301021029. The reversal of 11301021020 is 2012010311.

It is a junction number, because it is equal to n+sod(n) for n = 11301020992 and 11301021010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301021029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231167 + ... + 275753.

It is an arithmetic number, because the mean of its divisors is an integer number (280904400).

Almost surely, 211301021020 is an apocalyptic number.

11301021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11301021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483411200).

11301021020 is an abundant number, since it is smaller than the sum of its proper divisors (15665801380).

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

11301021020 is a wasteful number, since it uses less digits than its factorization.

11301021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44667 (or 44665 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11301021020 its reverse (2012010311), we get a palindrome (13313031331).

The spelling of 11301021020 in words is "eleven billion, three hundred one million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 29 38 46 58 76 92 95 115 116 145 190 230 290 380 437 460 551 580 667 874 1102 1334 1748 2185 2204 2668 2755 3335 4370 5510 6670 8740 11020 12673 13340 25346 44587 50692 63365 89174 126730 178348 222935 253460 445870 847153 891740 1025501 1293023 1694306 2051002 2586046 3388612 4102004 4235765 5127505 5172092 6465115 8471530 10255010 12930230 16943060 19484519 20510020 24567437 25860460 29739529 38969038 49134874 59479058 77938076 97422595 98269748 118958116 122837185 148697645 194845190 245674370 297395290 389690380 491348740 565051051 594790580 1130102102 2260204204 2825255255 5650510510 11301021020