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103021022013 = 37213269200407
BaseRepresentation
bin101111111110010001…
…0000000101100111101
3100211220201020011100220
41133330202000230331
53141441340201023
6115154402011553
710304646144600
oct1377442005475
9324821204326
10103021022013
113a766754708
1217b71646bb9
13993a674630
144db437a337
152a2e5823e3
hex17fc880b3d

103021022013 has 48 divisors (see below), whose sum is σ = 172719630720. Its totient is φ = 54138478464.

The previous prime is 103021022009. The next prime is 103021022029. The reversal of 103021022013 is 310220120301.

It is not a de Polignac number, because 103021022013 - 22 = 103021022009 is a prime.

It is a super-2 number, since 2×1030210220132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103021021983 and 103021022001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103021022053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413856 + ... + 614262.

It is an arithmetic number, because the mean of its divisors is an integer number (3598325640).

Almost surely, 2103021022013 is an apocalyptic number.

103021022013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103021022013 is a deficient number, since it is larger than the sum of its proper divisors (69698608707).

103021022013 is a wasteful number, since it uses less digits than its factorization.

103021022013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200706 (or 200699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103021022013 its reverse (310220120301), we get a palindrome (413241142314).

The spelling of 103021022013 in words is "one hundred three billion, twenty-one million, twenty-two thousand, thirteen".

Divisors: 1 3 7 13 21 39 49 91 147 269 273 637 807 1883 1911 3497 5649 10491 13181 24479 39543 73437 171353 200407 514059 601221 1402849 2605291 4208547 7815873 9819943 18237037 29459829 53909483 54711111 127659259 161728449 377366381 382977777 700823279 1132099143 2102469837 2641564667 4905762953 7924694001 14717288859 34340340671 103021022013