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10221001000 = 235371460143
BaseRepresentation
bin10011000010011100…
…00001100100101000
3222101022121122111121
421201032001210220
5131413034013000
64410115305024
7511200034510
oct114116014450
928338548447
1010221001000
114375541371
121b92bab174
13c6b7186b2
146cd650840
153ec4b4b1a
hex261381928

10221001000 has 64 divisors (see below), whose sum is σ = 27333895680. Its totient is φ = 3504340800.

The previous prime is 10221000983. The next prime is 10221001051. The reversal of 10221001000 is 10012201.

It is a super-2 number, since 2×102210010002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723072 + ... + 737071.

It is an arithmetic number, because the mean of its divisors is an integer number (427092120).

Almost surely, 210221001000 is an apocalyptic number.

10221001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221001000 is an abundant number, since it is smaller than the sum of its proper divisors (17112894680).

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

10221001000 is a wasteful number, since it uses less digits than its factorization.

10221001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460171 (or 1460157 counting only the distinct ones).

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

Adding to 10221001000 its reverse (10012201), we get a palindrome (10231013201).

The spelling of 10221001000 in words is "ten billion, two hundred twenty-one million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1460143 2920286 5840572 7300715 10221001 11681144 14601430 20442002 29202860 36503575 40884004 51105005 58405720 73007150 81768008 102210010 146014300 182517875 204420020 255525025 292028600 365035750 408840040 511050050 730071500 1022100100 1277625125 1460143000 2044200200 2555250250 5110500500 10221001000