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21022102000 = 2453731371051
BaseRepresentation
bin10011100101000000…
…111101000111110000
32000021001210102121101
4103211000331013300
5321023124231000
613354000334144
71342642630054
oct234500750760
960231712541
1021022102000
118a08479419
1240a8314354
131ca0382c13
141035d47c64
15830865e6a
hex4e503d1f0

21022102000 has 160 divisors (see below), whose sum is σ = 51953264064. Its totient is φ = 8225280000.

The previous prime is 21022101983. The next prime is 21022102009. The reversal of 21022102000 is 20122012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022102009) 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, 20001475 + ... + 20002525.

Almost surely, 221022102000 is an apocalyptic number.

21022102000 is a gapful number since it is divisible by the number (20) 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 21022102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25976632032).

21022102000 is an abundant number, since it is smaller than the sum of its proper divisors (30931162064).

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

21022102000 is a wasteful number, since it uses less digits than its factorization.

21022102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21022102000 its reverse (20122012), we get a palindrome (21042224012).

The spelling of 21022102000 in words is "twenty-one billion, twenty-two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 137 146 200 250 274 292 365 400 500 548 584 685 730 1000 1051 1096 1168 1370 1460 1825 2000 2102 2192 2740 2920 3425 3650 4204 5255 5480 5840 6850 7300 8408 9125 10001 10510 10960 13700 14600 16816 17125 18250 20002 21020 26275 27400 29200 34250 36500 40004 42040 50005 52550 54800 68500 73000 76723 80008 84080 100010 105100 131375 137000 143987 146000 153446 160016 200020 210200 250025 262750 274000 287974 306892 383615 400040 420400 500050 525500 575948 613784 719935 767230 800080 1000100 1051000 1151896 1227568 1250125 1439870 1534460 1918075 2000200 2102000 2303792 2500250 2879740 3068920 3599675 3836150 4000400 5000500 5759480 6137840 7199350 7672300 9590375 10001000 10511051 11518960 14398700 15344600 17998375 19180750 20002000 21022102 28797400 30689200 35996750 38361500 42044204 52555255 57594800 71993500 76723000 84088408 105110510 143987000 153446000 168176816 210221020 262776275 287974000 420442040 525552550 840884080 1051105100 1313881375 2102210200 2627762750 4204420400 5255525500 10511051000 21022102000