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2131214324211 = 3271723791095173
BaseRepresentation
bin11111000000110110010…
…001011101000111110011
321112202000222202011020200
4133000312101131013303
5234404211331333321
64311022155210243
7306655322600160
oct37006621350763
97482028664220
102131214324211
1175192aa1a745
122a5063446983
13125c84ba722b
1475219337067
153a68775ad26
hex1f03645d1f3

2131214324211 has 96 divisors (see below), whose sum is σ = 3936318197760. Its totient is φ = 1082485527552.

The previous prime is 2131214324087. The next prime is 2131214324227. The reversal of 2131214324211 is 1124234121312.

2131214324211 is a `hidden beast` number, since 2 + 1 + 3 + 12 + 1 + 432 + 4 + 211 = 666.

It is not a de Polignac number, because 2131214324211 - 211 = 2131214322163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2131214324251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1398421 + ... + 2493593.

It is an arithmetic number, because the mean of its divisors is an integer number (41003314560).

Almost surely, 22131214324211 is an apocalyptic number.

2131214324211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2131214324211 is a deficient number, since it is larger than the sum of its proper divisors (1805103873549).

2131214324211 is a wasteful number, since it uses less digits than its factorization.

2131214324211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095305 (or 1095302 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 2131214324211 its reverse (1124234121312), we get a palindrome (3255448445523).

The spelling of 2131214324211 in words is "two trillion, one hundred thirty-one billion, two hundred fourteen million, three hundred twenty-four thousand, two hundred eleven".

Divisors: 1 3 7 9 17 21 23 51 63 69 79 119 153 161 207 237 357 391 483 553 711 1071 1173 1343 1449 1659 1817 2737 3519 4029 4977 5451 8211 9401 12087 12719 16353 24633 28203 30889 38157 84609 92667 114471 216223 278001 648669 1095173 1946007 3285519 7666211 9856557 18617941 22998633 25188979 55853823 68995899 75566937 86518667 130325587 167561469 176322853 226700811 259556001 390976761 428212643 528968559 605630669 778668003 1172930283 1284637929 1470817339 1586905677 1816892007 1989929341 2997488501 3853913787 4412452017 5450676021 5969788023 8992465503 10295721373 13237356051 13929505387 17909364069 26977396509 30887164119 33828798797 41788516161 92661492357 101486396391 125365548483 236801591579 304459189173 710404774737 2131214324211