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10222022130000 = 24354340734071
BaseRepresentation
bin1001010010111111111111…
…1111110111100101010000
31100012012211022001001110020
42110233333333313211100
52314434200131130000
633423533201503440
72103342144330042
oct224577777674520
940165738031406
1010222022130000
11329115400645a
12119111a641b80
13591c17a77445
14274a69cb1a92
1512ad71917ba0
hex94bffff7950

10222022130000 has 100 divisors (see below), whose sum is σ = 32998050468768. Its totient is φ = 2725872560000.

The previous prime is 10222022129923. The next prime is 10222022130011. The reversal of 10222022130000 is 3122022201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-5 number, since 5×102220221300005 (a number of 66 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 170337036 + ... + 170397035.

Almost surely, 210222022130000 is an apocalyptic number.

10222022130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222022130000 is an abundant number, since it is smaller than the sum of its proper divisors (22776028338768).

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

10222022130000 is an equidigital number, since it uses as much as digits as its factorization.

10222022130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340734102 (or 340734081 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10222022130000 its reverse (3122022201), we get a palindrome (10225144152201).

The spelling of 10222022130000 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 340734071 681468142 1022202213 1362936284 1703670355 2044404426 2725872568 3407340710 4088808852 5111011065 5451745136 6814681420 8177617704 8518351775 10222022130 13629362840 16355235408 17036703550 20444044260 25555055325 27258725680 34073407100 40888088520 42591758875 51110110650 68146814200 81776177040 85183517750 102220221300 127775276625 136293628400 170367035500 204440442600 212958794375 255550553250 340734071000 408880885200 425917588750 511101106500 638876383125 681468142000 851835177500 1022202213000 1277752766250 1703670355000 2044404426000 2555505532500 3407340710000 5111011065000 10222022130000