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120220100010 = 232523292002667
BaseRepresentation
bin110111111110110101…
…1010010010110101010
3102111022100022211221200
41233331223102112222
53432202321200020
6131121153545030
711454110663253
oct1577553222652
9374270284850
10120220100010
1146a9212655a
121b371575176
13b44b98b46a
145b6667bb2a
1531d9480590
hex1bfdad25aa

120220100010 has 96 divisors (see below), whose sum is σ = 337409504640. Its totient is φ = 29607414144.

The previous prime is 120220099999. The next prime is 120220100023. The reversal of 120220100010 is 10001022021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120220099965 and 120220100001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 941304 + ... + 1061363.

It is an arithmetic number, because the mean of its divisors is an integer number (3514682340).

Almost surely, 2120220100010 is an apocalyptic number.

120220100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120220100010 is an abundant number, since it is smaller than the sum of its proper divisors (217189404630).

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

120220100010 is a wasteful number, since it uses less digits than its factorization.

120220100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002732 (or 2002729 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120220100010 its reverse (10001022021), we get a palindrome (130221122031).

The spelling of 120220100010 in words is "one hundred twenty billion, two hundred twenty million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 29 30 45 46 58 69 87 90 115 138 145 174 207 230 261 290 345 414 435 522 667 690 870 1035 1305 1334 2001 2070 2610 3335 4002 6003 6670 10005 12006 20010 30015 60030 2002667 4005334 6008001 10013335 12016002 18024003 20026670 30040005 36048006 46061341 58077343 60080010 90120015 92122682 116154686 138184023 174232029 180240030 230306705 276368046 290386715 348464058 414552069 460613410 522696087 580773430 690920115 829104138 871160145 1045392174 1335778889 1381840230 1742320290 2072760345 2613480435 2671557778 4007336667 4145520690 5226960870 6678894445 8014673334 12022010001 13357788890 20036683335 24044020002 40073366670 60110050005 120220100010