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10300021020 = 2233519074113
BaseRepresentation
bin10011001011110110…
…11101100100011100
3222120211022021121000
421211323131210130
5132043301133040
64422021110300
7513146506542
oct114573354434
928524267530
1010300021020
114406103273
121bb5558390
13c81bc49c3
146d9d3dd92
154043c3130
hex265edd91c

10300021020 has 48 divisors (see below), whose sum is σ = 32044511520. Its totient is φ = 2746672128.

The previous prime is 10300021009. The next prime is 10300021073. The reversal of 10300021020 is 2012000301.

It is a happy number.

It is a super-5 number, since 5×103000210205 (a number of 51 digits) contains 55555 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 = 10300020993 and 10300021011.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9536517 + ... + 9537596.

It is an arithmetic number, because the mean of its divisors is an integer number (667593990).

Almost surely, 210300021020 is an apocalyptic number.

10300021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300021020 is an abundant number, since it is smaller than the sum of its proper divisors (21744490500).

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

10300021020 is a wasteful number, since it uses less digits than its factorization.

10300021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19074131 (or 19074123 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10300021020 its reverse (2012000301), we get a palindrome (12312021321).

The spelling of 10300021020 in words is "ten billion, three hundred million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 19074113 38148226 57222339 76296452 95370565 114444678 171667017 190741130 228889356 286111695 343334034 381482260 515001051 572223390 686668068 858335085 1030002102 1144446780 1716670170 2060004204 2575005255 3433340340 5150010510 10300021020