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102111110212212 = 223217634326304307
BaseRepresentation
bin10111001101111010011000…
…011100111010101001110100
3111101112201121211121222110200
4113031322120130322221310
5101340442023203242322
61001101110233120500
730336166333646133
oct2715723034725164
9441481554558420
10102111110212212
112a599095757a22
12b551998259130
1344c9061bc21ca
141b302c00c191a
15bc12270968ac
hex5cde9873aa74

102111110212212 has 72 divisors (see below), whose sum is σ = 273340480061376. Its totient is φ = 32029806461184.

The previous prime is 102111110212171. The next prime is 102111110212213. The reversal of 102111110212212 is 212212011111201.

It is a happy number.

102111110212212 is a `hidden beast` number, since 10 + 211 + 11 + 10 + 212 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111110212213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9270238 + ... + 17034069.

It is an arithmetic number, because the mean of its divisors is an integer number (3796395556408).

Almost surely, 2102111110212212 is an apocalyptic number.

102111110212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102111110212212 is an abundant number, since it is smaller than the sum of its proper divisors (171229369849164).

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

102111110212212 is a wasteful number, since it uses less digits than its factorization.

102111110212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26310677 (or 26310672 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102111110212212 its reverse (212212011111201), we get a palindrome (314323121323413).

The spelling of 102111110212212 in words is "one hundred two trillion, one hundred eleven billion, one hundred ten million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 6343 12686 19029 25372 38058 57087 76116 107831 114174 215662 228348 323493 431324 646986 970479 1293972 1940958 3881916 26304307 52608614 78912921 105217228 157825842 236738763 315651684 447173219 473477526 894346438 946955052 1341519657 1788692876 2683039314 4024558971 5366078628 8049117942 16098235884 166848219301 333696438602 500544657903 667392877204 1001089315806 1501633973709 2002178631612 2836419728117 3003267947418 5672839456234 6006535894836 8509259184351 11345678912468 17018518368702 25527777553053 34037036737404 51055555106106 102111110212212