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10130020120 = 2351128198167
BaseRepresentation
bin10010110111100101…
…11101011100011000
3222010222102100012101
421123302331130120
5131221241120440
64353105253144
7506013515233
oct113362753430
928128370171
1010130020120
114329150060
121b686341b4
13c5591215c
146c152a41a
153e44e269a
hex25bcbd718

10130020120 has 64 divisors (see below), whose sum is σ = 24876460800. Its totient is φ = 3681886080.

The previous prime is 10130020093. The next prime is 10130020213. The reversal of 10130020120 is 2102003101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10130020097 and 10130020106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236277 + ... + 1244443.

It is an arithmetic number, because the mean of its divisors is an integer number (388694700).

Almost surely, 210130020120 is an apocalyptic number.

10130020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130020120 is an abundant number, since it is smaller than the sum of its proper divisors (14746440680).

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

10130020120 is a wasteful number, since it uses less digits than its factorization.

10130020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11008 (or 11004 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10130020120 its reverse (2102003101), we get a palindrome (12232023221).

The spelling of 10130020120 in words is "ten billion, one hundred thirty million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2819 5638 8167 11276 14095 16334 22552 28190 31009 32668 40835 56380 62018 65336 81670 89837 112760 124036 155045 163340 179674 248072 310090 326680 359348 449185 620180 718696 898370 1240360 1796740 3593480 23022773 46045546 92091092 115113865 184182184 230227730 253250503 460455460 506501006 920910920 1013002012 1266252515 2026004024 2532505030 5065010060 10130020120