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2120120100 = 2232527336527
BaseRepresentation
bin111111001011110…
…0111011100100100
312110202101021000200
41332113213130210
513320222320400
6550213310500
7103352503110
oct17627473444
95422337020
102120120100
1199883067a
124b2035430
1327a313b47
14161806740
15c61ddb00
hex7e5e7724

2120120100 has 108 divisors (see below), whose sum is σ = 7594763904. Its totient is φ = 484597440.

The previous prime is 2120120071. The next prime is 2120120147. The reversal of 2120120100 is 10210212.

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

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 35 ways as a sum of consecutive naturals, for example, 161964 + ... + 174563.

It is an arithmetic number, because the mean of its divisors is an integer number (70321888).

Almost surely, 22120120100 is an apocalyptic number.

2120120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120120100 is an abundant number, since it is smaller than the sum of its proper divisors (5474643804).

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

2120120100 is a wasteful number, since it uses less digits than its factorization.

2120120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336554 (or 336544 counting only the distinct ones).

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

The square root of 2120120100 is about 46044.7619170737. The cubic root of 2120120100 is about 1284.6559157862.

Adding to 2120120100 its reverse (10210212), we get a palindrome (2130330312).

The spelling of 2120120100 in words is "two billion, one hundred twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 336527 673054 1009581 1346108 1682635 2019162 2355689 3028743 3365270 4038324 4711378 5047905 6057486 6730540 7067067 8413175 9422756 10095810 11778445 12114972 14134134 15143715 16826350 20191620 21201201 23556890 25239525 28268268 30287430 33652700 35335335 42402402 47113780 50479050 58892225 60574860 70670670 75718575 84804804 100958100 106006005 117784450 141341340 151437150 176676675 212012010 235568900 302874300 353353350 424024020 530030025 706706700 1060060050 2120120100