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102214341141 = 311231109167499
BaseRepresentation
bin101111100110001110…
…0110001001000010101
3100202211111022112020120
41133030130301020111
53133313332404031
6114542344022153
710245652364403
oct1371434611025
9322744275216
10102214341141
113a392370400
1217987461959
13983c4c2883
144d39192473
1529d383aa96
hex17cc731215

102214341141 has 96 divisors (see below), whose sum is σ = 157301760000. Its totient is φ = 58925750400.

The previous prime is 102214341133. The next prime is 102214341169. The reversal of 102214341141 is 141143412201.

It is a happy number.

It is not a de Polignac number, because 102214341141 - 23 = 102214341133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102214341241) 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, 204838110 + ... + 204838608.

It is an arithmetic number, because the mean of its divisors is an integer number (1638560000).

Almost surely, 2102214341141 is an apocalyptic number.

102214341141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102214341141 is a deficient number, since it is larger than the sum of its proper divisors (55087418859).

102214341141 is a wasteful number, since it uses less digits than its factorization.

102214341141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102214341141 its reverse (141143412201), we get a palindrome (243357753342).

The spelling of 102214341141 in words is "one hundred two billion, two hundred fourteen million, three hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 11 31 33 93 109 121 167 327 341 363 499 501 1023 1199 1497 1837 3379 3597 3751 5177 5489 5511 10137 11253 13189 15469 15531 16467 18203 20207 37169 39567 46407 54391 54609 56947 60379 60621 83333 111507 163173 170159 170841 181137 200233 249999 408859 510477 564293 598301 600699 626417 916663 1226577 1686121 1692879 1794903 1871749 1879251 2202563 2583323 2749989 5058363 5615247 6207223 6581311 6607689 7749969 9083297 10083293 18547331 18621669 19743933 27249891 28416553 30249879 55641993 68279453 85249659 99916267 204020641 204838359 281582207 299748801 312582083 612061923 844746621 937746249 1099078937 3097404277 3297236811 9292212831 34071447047 102214341141