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10021021000 = 235343241967
BaseRepresentation
bin10010101010100110…
…01010010101001000
3221212101022121111221
421111103022111020
5131010340133000
64334213131424
7503221162444
oct112523122510
927771277457
1010021021000
114282672441
121b38029b74
13c3916a533
146b0c75824
153d9b6161a
hex2554ca548

10021021000 has 128 divisors (see below), whose sum is σ = 24118997760. Its totient is φ = 3894912000.

The previous prime is 10021020937. The next prime is 10021021001. The reversal of 10021021000 is 12012001.

It is not an unprimeable number, because it can be changed into a prime (10021021001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10362517 + ... + 10363483.

It is an arithmetic number, because the mean of its divisors is an integer number (188429670).

Almost surely, 210021021000 is an apocalyptic number.

10021021000 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 10021021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12059498880).

10021021000 is an abundant number, since it is smaller than the sum of its proper divisors (14097976760).

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

10021021000 is a wasteful number, since it uses less digits than its factorization.

10021021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10021021000 its reverse (12012001), we get a palindrome (10033033001).

The spelling of 10021021000 in words is "ten billion, twenty-one million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 241 250 344 430 482 500 860 964 967 1000 1075 1205 1720 1928 1934 2150 2410 3868 4300 4820 4835 5375 6025 7736 8600 9640 9670 10363 10750 12050 19340 20726 21500 24100 24175 30125 38680 41452 41581 43000 48200 48350 51815 60250 82904 83162 96700 103630 120500 120875 166324 193400 207260 207905 233047 241000 241750 259075 332648 414520 415810 466094 483500 518150 831620 932188 967000 1036300 1039525 1165235 1295375 1663240 1864376 2072600 2079050 2330470 2590750 4158100 4660940 5181500 5197625 5826175 8316200 9321880 10021021 10363000 10395250 11652350 20042042 20790500 23304700 29130875 40084084 41581000 46609400 50105105 58261750 80168168 100210210 116523500 200420420 233047000 250525525 400840840 501051050 1002102100 1252627625 2004204200 2505255250 5010510500 10021021000