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10000100220 = 22351115151667
BaseRepresentation
bin10010101000000110…
…10110101101111100
3221210220221201121020
421110003112231330
5130440011201340
64332144504140
7502545310065
oct112403265574
927726851536
1010000100220
114271883340
121b3101b050
13c34a23c86
146ac18b56c
153d7dcc9d0
hex2540d6b7c

10000100220 has 48 divisors (see below), whose sum is σ = 30545762688. Its totient is φ = 2424266560.

The previous prime is 10000100207. The next prime is 10000100237. The reversal of 10000100220 is 2200100001.

It is a happy number.

10000100220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10000100199 and 10000100208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7575174 + ... + 7576493.

It is an arithmetic number, because the mean of its divisors is an integer number (636370056).

Almost surely, 210000100220 is an apocalyptic number.

10000100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000100220 is an abundant number, since it is smaller than the sum of its proper divisors (20545662468).

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

10000100220 is a wasteful number, since it uses less digits than its factorization.

10000100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15151690 (or 15151688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10000100220 its reverse (2200100001), we get a palindrome (12200200221).

The spelling of 10000100220 in words is "ten billion, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15151667 30303334 45455001 60606668 75758335 90910002 151516670 166668337 181820004 227275005 303033340 333336674 454550010 500005011 666673348 833341685 909100020 1000010022 1666683370 2000020044 2500025055 3333366740 5000050110 10000100220