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10421103020 = 2251722962171
BaseRepresentation
bin10011011010010010…
…10110100110101100
3222220021010212212112
421231021112212230
5132320300244040
64442024223152
7516146625356
oct115511264654
928807125775
1010421103020
114468493a39
12202a00aab8
13ca100a263
1470c05c0d6
1540ed3e365
hex26d2569ac

10421103020 has 72 divisors (see below), whose sum is σ = 24049373040. Its totient is φ = 3787893760.

The previous prime is 10421103013. The next prime is 10421103041. The reversal of 10421103020 is 2030112401.

10421103020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10421102986 and 10421103004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136535 + ... + 198705.

It is an arithmetic number, because the mean of its divisors is an integer number (334019070).

Almost surely, 210421103020 is an apocalyptic number.

10421103020 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 10421103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12024686520).

10421103020 is an abundant number, since it is smaller than the sum of its proper divisors (13628270020).

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

10421103020 is a wasteful number, since it uses less digits than its factorization.

10421103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62243 (or 62224 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10421103020 its reverse (2030112401), we get a palindrome (12451215421).

The spelling of 10421103020 in words is "ten billion, four hundred twenty-one million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 289 290 340 493 578 580 986 1156 1445 1972 2465 2890 4930 5780 8381 9860 16762 33524 41905 62171 83810 124342 167620 248684 310855 621710 1056907 1243420 1802959 2113814 3605918 4227628 5284535 7211836 9014795 10569070 17967419 18029590 21138140 30650303 35934838 36059180 61300606 71869676 89837095 122601212 153251515 179674190 306503030 359348380 521055151 613006060 1042110302 2084220604 2605275755 5210551510 10421103020