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2130202022311 = 1125315112311787
BaseRepresentation
bin11110111111111001111…
…011110101000110100111
321112122102102220220002201
4132333321323311012213
5234400123204203221
64310333514115331
7306621251301526
oct36777173650647
97478372826081
102130202022311
11751460564300
122a4a2041bb47
13125b5325081c
1475160b064bd
153a628949891
hex1eff9ef51a7

2130202022311 has 48 divisors (see below), whose sum is σ = 2404734925824. Its totient is φ = 1884837240000.

The previous prime is 2130202022293. The next prime is 2130202022317. The reversal of 2130202022311 is 1132202020312.

It is not a de Polignac number, because 2130202022311 - 225 = 2130168467879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130202022317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1192053960 + ... + 1192055746.

It is an arithmetic number, because the mean of its divisors is an integer number (50098644288).

Almost surely, 22130202022311 is an apocalyptic number.

2130202022311 is a deficient number, since it is larger than the sum of its proper divisors (274532903513).

2130202022311 is a wasteful number, since it uses less digits than its factorization.

2130202022311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2130202022311 its reverse (1132202020312), we get a palindrome (3262404042623).

The spelling of 2130202022311 in words is "two trillion, one hundred thirty billion, two hundred two million, twenty-two thousand, three hundred eleven".

Divisors: 1 11 53 121 151 583 1231 1661 1787 6413 8003 13541 18271 19657 65243 88033 94711 148951 185881 216227 269837 717673 968363 1041821 2044691 2199797 2968207 7894403 9851693 11460031 14301361 22491601 24197767 32650277 108368623 116589241 157314971 266175437 332169347 1192054853 1282481651 1730464681 3653862817 14107298161 17604975391 40192490987 193654729301 2130202022311