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10202122000 = 24537728723
BaseRepresentation
bin10011000000001100…
…00000011100010000
3222100000002111101101
421200012000130100
5131343220401000
64404202514144
7510550414630
oct114006003420
928300074341
1010202122000
114365917294
121b88805954
13c678385a5
146cad386c0
153ea9d5e6a
hex260180710

10202122000 has 80 divisors (see below), whose sum is σ = 28192874112. Its totient is φ = 3497865600.

The previous prime is 10202121967. The next prime is 10202122037. The reversal of 10202122000 is 22120201.

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 (10).

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, 350362 + ... + 378361.

Almost surely, 210202122000 is an apocalyptic number.

10202122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202122000 is an abundant number, since it is smaller than the sum of its proper divisors (17990752112).

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

10202122000 is an equidigital number, since it uses as much as digits as its factorization.

10202122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728753 (or 728737 counting only the distinct ones).

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

Adding to 10202122000 its reverse (22120201), we get a palindrome (10224242201).

The spelling of 10202122000 in words is "ten billion, two hundred two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 728723 1457446 2914892 3643615 5101061 5829784 7287230 10202122 11659568 14574460 18218075 20404244 25505305 29148920 36436150 40808488 51010610 58297840 72872300 81616976 91090375 102021220 127526525 145744600 182180750 204042440 255053050 291489200 364361500 408084880 510106100 637632625 728723000 1020212200 1275265250 1457446000 2040424400 2550530500 5101061000 10202122000