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10000301020 = 2254316371339
BaseRepresentation
bin10010101000001000…
…00111101111011100
3221210221022221001021
421110010013233130
5130440034113040
64332153053524
7502550104363
oct112404075734
927727287037
1010000301020
114271a00196
121b310b72a4
13c34a944a8
146ac2007da
153d7e1c24a
hex254107bdc

10000301020 has 48 divisors (see below), whose sum is σ = 21621156480. Its totient is φ = 3883070016.

The previous prime is 10000300991. The next prime is 10000301053. The reversal of 10000301020 is 2010300001.

It is a super-2 number, since 2×100003010202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000300994 and 10000301012.

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, 104511 + ... + 175849.

It is an arithmetic number, because the mean of its divisors is an integer number (450440760).

Almost surely, 210000301020 is an apocalyptic number.

10000301020 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 10000301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810578240).

10000301020 is an abundant number, since it is smaller than the sum of its proper divisors (11620855460).

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

10000301020 is a wasteful number, since it uses less digits than its factorization.

10000301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71554 (or 71552 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10000301020 its reverse (2010300001), we get a palindrome (12010601021).

The spelling of 10000301020 in words is "ten billion, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 163 172 215 326 430 652 815 860 1630 3260 7009 14018 28036 35045 70090 71339 140180 142678 285356 356695 713390 1426780 3067577 6135154 11628257 12270308 15337885 23256514 30675770 46513028 58141285 61351540 116282570 232565140 500015051 1000030102 2000060204 2500075255 5000150510 10000301020