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2120001001131 = 3131741173450809
BaseRepresentation
bin11110110110011001111…
…010000001011010101011
321111200002111220022202110
4132312121322001122223
5234213230224014011
64301525350533403
7306110413120146
oct36663172013253
97450074808673
102120001001131
117480a632a092
122a2a54067263
13124bb8a0c310
1474873db705d
153a22d0ceba6
hex1ed99e816ab

2120001001131 has 64 divisors (see below), whose sum is σ = 3320875635840. Its totient is φ = 1190998671360.

The previous prime is 2120001001099. The next prime is 2120001001189. The reversal of 2120001001131 is 1311001000212.

It is not a de Polignac number, because 2120001001131 - 25 = 2120001001099 is a prime.

It is a super-2 number, since 2×21200010011312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120001001331) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4477255 + ... + 4928063.

It is an arithmetic number, because the mean of its divisors is an integer number (51888681810).

Almost surely, 22120001001131 is an apocalyptic number.

2120001001131 is a deficient number, since it is larger than the sum of its proper divisors (1200874634709).

2120001001131 is a wasteful number, since it uses less digits than its factorization.

2120001001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451056.

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

Adding to 2120001001131 its reverse (1311001000212), we get a palindrome (3431002001343).

The spelling of 2120001001131 in words is "two trillion, one hundred twenty billion, one million, one thousand, one hundred thirty-one".

Divisors: 1 3 13 17 39 41 51 123 173 221 519 533 663 697 1599 2091 2249 2941 6747 7093 8823 9061 21279 27183 38233 92209 114699 120581 276627 361743 450809 1352427 1567553 4702659 5860517 7663753 17581551 18483169 22991259 55449507 77989957 99628789 233969871 240281197 298886367 314213873 720843591 942641619 1013869441 1325829269 3041608323 3197588237 3977487807 4084780349 9592764711 12254341047 17235780497 41568647081 51707341491 54359000029 124705941243 163077000087 706667000377 2120001001131