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10110021000 = 233536914877
BaseRepresentation
bin10010110101001101…
…01010110110001000
3222002120210021120020
421122212222312020
5131201131133000
64351112500440
7505351521612
oct113246526610
928076707506
1010110021000
114318930462
121b619aa720
13c5172c261
146bca01db2
153e2891ba0
hex25a9aad88

10110021000 has 128 divisors (see below), whose sum is σ = 31595391360. Its totient is φ = 2691552000.

The previous prime is 10110020993. The next prime is 10110021017. The reversal of 10110021000 is 12001101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 10110021000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2070562 + ... + 2075438.

It is an arithmetic number, because the mean of its divisors is an integer number (246838995).

Almost surely, 210110021000 is an apocalyptic number.

10110021000 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 10110021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797695680).

10110021000 is an abundant number, since it is smaller than the sum of its proper divisors (21485370360).

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

10110021000 is a wasteful number, since it uses less digits than its factorization.

10110021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10110021000 its reverse (12001101), we get a palindrome (10122022101).

The spelling of 10110021000 in words is "ten billion, one hundred ten million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 691 750 1000 1382 1500 2073 2764 3000 3455 4146 4877 5528 6910 8292 9754 10365 13820 14631 16584 17275 19508 20730 24385 27640 29262 34550 39016 41460 48770 51825 58524 69100 73155 82920 86375 97540 103650 117048 121925 138200 146310 172750 195080 207300 243850 259125 292620 345500 365775 414600 487700 518250 585240 609625 691000 731550 975400 1036500 1219250 1463100 1828875 2073000 2438500 2926200 3370007 3657750 4877000 6740014 7315500 10110021 13480028 14631000 16850035 20220042 26960056 33700070 40440084 50550105 67400140 80880168 84250175 101100210 134800280 168500350 202200420 252750525 337000700 404400840 421250875 505501050 674001400 842501750 1011002100 1263752625 1685003500 2022004200 2527505250 3370007000 5055010500 10110021000