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10222122000 = 243531703687
BaseRepresentation
bin10011000010100100…
…10011010000010000
3222101101201121020010
421201102103100100
5131413330401000
64410155314520
7511212413646
oct114122232020
928341647203
1010222122000
114376137612
121b9344ba40
13c6ba1b9cc
146cd863196
153ec636d50
hex261493410

10222122000 has 80 divisors (see below), whose sum is σ = 32956140672. Its totient is φ = 2725897600.

The previous prime is 10222121993. The next prime is 10222122017. The reversal of 10222122000 is 22122201.

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 (12).

It is an unprimeable number.

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, 845844 + ... + 857843.

Almost surely, 210222122000 is an apocalyptic number.

10222122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222122000 is an abundant number, since it is smaller than the sum of its proper divisors (22734018672).

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

10222122000 is a wasteful number, since it uses less digits than its factorization.

10222122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703713 (or 1703697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10222122000 its reverse (22122201), we get a palindrome (10244244201).

The spelling of 10222122000 in words is "ten billion, two hundred twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 1703687 3407374 5111061 6814748 8518435 10222122 13629496 17036870 20444244 25555305 27258992 34073740 40888488 42592175 51110610 68147480 81776976 85184350 102221220 127776525 136294960 170368700 204442440 212960875 255553050 340737400 408884880 425921750 511106100 638882625 681474800 851843500 1022212200 1277765250 1703687000 2044424400 2555530500 3407374000 5111061000 10222122000