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10210022000 = 245323221957
BaseRepresentation
bin10011000001001000…
…01001001001110000
3222100112221212010222
421200210021021300
5131402231201000
64405044112212
7511004516663
oct114044111160
928315855128
1010210022000
11436a322712
121b8b395668
13c69373349
146cbdd36da
153eb546a85
hex260909270

10210022000 has 80 divisors (see below), whose sum is σ = 25761333312. Its totient is φ = 3906425600.

The previous prime is 10210021999. The next prime is 10210022003. The reversal of 10210022000 is 22001201.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64979 + ... + 156978.

Almost surely, 210210022000 is an apocalyptic number.

10210022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210022000 is an abundant number, since it is smaller than the sum of its proper divisors (15551311312).

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

10210022000 is a wasteful number, since it uses less digits than its factorization.

10210022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222003 (or 221987 counting only the distinct ones).

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

Adding to 10210022000 its reverse (22001201), we get a palindrome (10232023201).

The spelling of 10210022000 in words is "ten billion, two hundred ten million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 221957 443914 887828 1109785 1775656 2219570 3551312 4439140 5105011 5548925 8878280 10210022 11097850 17756560 20420044 22195700 25525055 27744625 40840088 44391400 51050110 55489250 81680176 88782800 102100220 110978500 127625275 204200440 221957000 255250550 408400880 443914000 510501100 638126375 1021002200 1276252750 2042004400 2552505500 5105011000 10210022000