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20102606120 = 2356164112853
BaseRepresentation
bin10010101110001101…
…010110110100101000
31220212222121012101102
4102232031112310220
5312132231343440
613122432340532
71311106222052
oct225615266450
956788535342
1020102606120
118586440573
123a903a4748
131b84a2170c
14d89b948d2
157c9c87b15
hex4ae356d28

20102606120 has 64 divisors (see below), whose sum is σ = 46047655440. Its totient is φ = 7896268800.

The previous prime is 20102606113. The next prime is 20102606137. The reversal of 20102606120 is 2160620102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4831084036 + 15271522084 = 69506^2 + 123578^2 .

It is a super-2 number, since 2×201026061202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20102606092 and 20102606101.

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, 1557614 + ... + 1570466.

Almost surely, 220102606120 is an apocalyptic number.

20102606120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102606120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23023827720).

20102606120 is an abundant number, since it is smaller than the sum of its proper divisors (25945049320).

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

20102606120 is a wasteful number, since it uses less digits than its factorization.

20102606120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13566 (or 13562 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 20102606120 in words is "twenty billion, one hundred two million, six hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 641 1220 1282 2440 2564 3205 5128 6410 12820 12853 25640 25706 39101 51412 64265 78202 102824 128530 156404 195505 257060 312808 391010 514120 782020 784033 1564040 1568066 3136132 3920165 6272264 7840330 8238773 15680660 16477546 31361320 32955092 41193865 65910184 82387730 164775460 329550920 502565153 1005130306 2010260612 2512825765 4020521224 5025651530 10051303060 20102606120