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2002110120 = 2332529191773
BaseRepresentation
bin111011101010101…
…1100011010101000
312011112022201202200
41313111130122220
513100020010440
6530400100200
7100420440513
oct16725343250
95145281680
102002110120
11938158a6a
1247a604660
1325ba3595a
1414dc87d7a
15bab7cc30
hex7755c6a8

2002110120 has 96 divisors (see below), whose sum is σ = 6731267400. Its totient is φ = 515483136.

The previous prime is 2002110119. The next prime is 2002110127. The reversal of 2002110120 is 210112002.

It can be written as a sum of positive squares in 4 ways, for example, as 1792844964 + 209265156 = 42342^2 + 14466^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2002110127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 85447 + ... + 106326.

Almost surely, 22002110120 is an apocalyptic number.

2002110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002110120 is an abundant number, since it is smaller than the sum of its proper divisors (4729157280).

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

2002110120 is a wasteful number, since it uses less digits than its factorization.

2002110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191819 (or 191812 counting only the distinct ones).

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

The square root of 2002110120 is about 44744.9451893731. The cubic root of 2002110120 is about 1260.3639915890.

Adding to 2002110120 its reverse (210112002), we get a palindrome (2212222122).

The spelling of 2002110120 in words is "two billion, two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 191773 383546 575319 767092 958865 1150638 1534184 1725957 1917730 2301276 2876595 3451914 3835460 4602552 5561417 5753190 6903828 7670920 8629785 11122834 11506380 13807656 16684251 17259570 22245668 23012760 27807085 33368502 34519140 44491336 50052753 55614170 66737004 69038280 83421255 100105506 111228340 133474008 166842510 200211012 222456680 250263765 333685020 400422024 500527530 667370040 1001055060 2002110120