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10022021000 = 2353311512141
BaseRepresentation
bin10010101010101101…
…11110011110001000
3221212110012102020222
421111112332132020
5131011114133000
64334250405212
7503232526055
oct112526763610
927773172228
1010022021000
114283195792
121b38430808
13c3942a754
146b105602c
153d9caca85
hex2555be788

10022021000 has 128 divisors (see below), whose sum is σ = 24379729920. Its totient is φ = 3852000000.

The previous prime is 10022020993. The next prime is 10022021027. The reversal of 10022021000 is 12022001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 4679930 + ... + 4682070.

It is an arithmetic number, because the mean of its divisors is an integer number (190466640).

Almost surely, 210022021000 is an apocalyptic number.

10022021000 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 10022021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12189864960).

10022021000 is an abundant number, since it is smaller than the sum of its proper divisors (14357708920).

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

10022021000 is a wasteful number, since it uses less digits than its factorization.

10022021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10022021000 its reverse (12022001), we get a palindrome (10034043001).

The spelling of 10022021000 in words is "ten billion, twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 151 155 200 248 250 302 310 500 604 620 755 775 1000 1208 1240 1510 1550 2141 3020 3100 3775 3875 4282 4681 6040 6200 7550 7750 8564 9362 10705 15100 15500 17128 18724 18875 21410 23405 30200 31000 37448 37750 42820 46810 53525 66371 75500 85640 93620 107050 117025 132742 151000 187240 214100 234050 265484 267625 323291 331855 428200 468100 530968 535250 585125 646582 663710 936200 1070500 1170250 1293164 1327420 1616455 1659275 2141000 2340500 2586328 2654840 3232910 3318550 4681000 6465820 6637100 8082275 8296375 10022021 12931640 13274200 16164550 16592750 20044042 32329100 33185500 40088084 40411375 50110105 64658200 66371000 80176168 80822750 100220210 161645500 200440420 250550525 323291000 400880840 501101050 1002202100 1252752625 2004404200 2505505250 5011010500 10022021000