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2132216412116 = 22710733712131741
BaseRepresentation
bin11111000001110010000…
…000000111011111010100
321112211121211100111102112
4133001302000013133110
5234413234400141431
64311305433330152
7310022211315230
oct37016200073724
97484554314375
102132216412116
117522a463a16a
122a52a2b66958
131260b469585b
14752b24695c0
153a6e5700c2b
hex1f0720077d4

2132216412116 has 96 divisors (see below), whose sum is σ = 4323100384512. Its totient is φ = 901318440960.

The previous prime is 2132216412101. The next prime is 2132216412119. The reversal of 2132216412116 is 6112146122312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132216412119) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1224707006 + ... + 1224708746.

It is an arithmetic number, because the mean of its divisors is an integer number (45032295672).

Almost surely, 22132216412116 is an apocalyptic number.

It is an amenable number.

2132216412116 is an abundant number, since it is smaller than the sum of its proper divisors (2190883972396).

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

2132216412116 is a wasteful number, since it uses less digits than its factorization.

2132216412116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3407 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The spelling of 2132216412116 in words is "two trillion, one hundred thirty-two billion, two hundred sixteen million, four hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 107 214 337 428 674 749 1213 1348 1498 1741 2359 2426 2996 3482 4718 4852 6964 8491 9436 12187 16982 24374 33964 36059 48748 72118 129791 144236 186287 252413 259582 372574 408781 504826 519164 586717 745148 817562 908537 1009652 1173434 1304009 1635124 1817074 2111833 2346868 2608018 2861467 3634148 4107019 4223666 5216036 5722934 8214038 8447332 11445868 14782831 16428076 29565662 43739567 59131324 62778719 87479134 125557438 174958268 225966131 251114876 306176969 439451033 451932262 612353938 711687721 878902066 903864524 1224707876 1423375442 1581762917 1757804132 2846750884 3163525834 4981814047 6327051668 9963628094 19927256188 76150586147 152301172294 304602344588 533054103029 1066108206058 2132216412116