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10302021000 = 2332533730937
BaseRepresentation
bin10011001100000110…
…00101110110001000
3222120222001220001100
421212003011312020
5132044304133000
64422132021400
7513202506435
oct114603056610
928528056040
1010302021000
114407249947
121bb6161860
13c8244511b
146da300b8c
1540466aa00
hex2660c5d88

10302021000 has 192 divisors, whose sum is σ = 35763090480. Its totient is φ = 2672870400.

The previous prime is 10302020959. The next prime is 10302021017. The reversal of 10302021000 is 12020301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 361532196 + 9940488804 = 19014^2 + 99702^2 .

It is a super-2 number, since 2×103020210002 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317532 + ... + 348468.

Almost surely, 210302021000 is an apocalyptic number.

10302021000 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 10302021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881545240).

10302021000 is an abundant number, since it is smaller than the sum of its proper divisors (25461069480).

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

10302021000 is a wasteful number, since it uses less digits than its factorization.

10302021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31001 (or 30984 counting only the distinct ones).

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

Adding to 10302021000 its reverse (12020301), we get a palindrome (10314041301).

The spelling of 10302021000 in words is "ten billion, three hundred two million, twenty-one thousand".