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2102145192 = 2332719321611
BaseRepresentation
bin111110101001100…
…0011000010101000
312102111120001002100
41331103003002220
513301122121232
6544332133400
7103043640120
oct17523030250
95374501070
102102145192
11989673884
124a8007260
1327668c3c4
1415d287c80
15c483cc7c
hex7d4c30a8

2102145192 has 96 divisors (see below), whose sum is σ = 6540655680. Its totient is φ = 597473280.

The previous prime is 2102145187. The next prime is 2102145203. The reversal of 2102145192 is 2915412012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86467 + ... + 108077.

It is an arithmetic number, because the mean of its divisors is an integer number (68131830).

Almost surely, 22102145192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102145192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270327840).

2102145192 is an abundant number, since it is smaller than the sum of its proper divisors (4438510488).

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

2102145192 is a wasteful number, since it uses less digits than its factorization.

2102145192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21823 (or 21816 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2102145192 is about 45849.1569388140. The cubic root of 2102145192 is about 1281.0150623381.

The spelling of 2102145192 in words is "two billion, one hundred two million, one hundred forty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 193 252 386 504 579 772 1158 1351 1544 1737 2316 2702 3474 4053 4632 5404 6948 8106 10808 12159 13896 16212 21611 24318 32424 43222 48636 64833 86444 97272 129666 151277 172888 194499 259332 302554 388998 453831 518664 605108 777996 907662 1210216 1361493 1555992 1815324 2722986 3630648 4170923 5445972 8341846 10891944 12512769 16683692 25025538 29196461 33367384 37538307 50051076 58392922 75076614 87589383 100102152 116785844 150153228 175178766 233571688 262768149 300306456 350357532 525536298 700715064 1051072596 2102145192