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10011301020 = 223257172191447
BaseRepresentation
bin10010101001011100…
…00101010010011100
3221211201000210012200
421110232011102130
5131000343113040
64333224531500
7503042440350
oct112456052234
927751023180
1010011301020
1142781336a6
121b34920b90
13c37146276
146ad865460
153d8d91630
hex254b8549c

10011301020 has 432 divisors, whose sum is σ = 38834664960. Its totient is φ = 2038929408.

The previous prime is 10011301019. The next prime is 10011301031. The reversal of 10011301020 is 2010311001.

It is a super-2 number, since 2×100113010202 (a number of 21 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 = 10011300993 and 10011301011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6917937 + ... + 6919383.

Almost surely, 210011301020 is an apocalyptic number.

10011301020 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 10011301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19417332480).

10011301020 is an abundant number, since it is smaller than the sum of its proper divisors (28823363940).

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

10011301020 is a wasteful number, since it uses less digits than its factorization.

10011301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10011301020 its reverse (2010311001), we get a palindrome (12021612021).

The spelling of 10011301020 in words is "ten billion, eleven million, three hundred one thousand, twenty".