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10221002000 = 245311464591
BaseRepresentation
bin10011000010011100…
…00001110100010000
3222101022121200212122
421201032001310100
5131413034031000
64410115313412
7511200040436
oct114116016420
928338550778
1010221002000
1143755420a0
121b92bab868
13c6b718ca1
146cd650d56
153ec4b5085
hex261381d10

10221002000 has 80 divisors (see below), whose sum is σ = 26961202944. Its totient is φ = 3716720000.

The previous prime is 10221001957. The next prime is 10221002081. The reversal of 10221002000 is 20012201.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 210296 + ... + 254295.

Almost surely, 210221002000 is an apocalyptic number.

10221002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221002000 is an abundant number, since it is smaller than the sum of its proper divisors (16740200944).

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

10221002000 is a wasteful number, since it uses less digits than its factorization.

10221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464625 (or 464609 counting only the distinct ones).

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

Adding to 10221002000 its reverse (20012201), we get a palindrome (10241014201).

The spelling of 10221002000 in words is "ten billion, two hundred twenty-one million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 464591 929182 1858364 2322955 3716728 4645910 5110501 7433456 9291820 10221002 11614775 18583640 20442004 23229550 25552505 37167280 40884008 46459100 51105010 58073875 81768016 92918200 102210020 116147750 127762525 185836400 204420040 232295500 255525050 408840080 464591000 511050100 638812625 929182000 1022100200 1277625250 2044200400 2555250500 5110501000 10221002000