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10202332311332 = 22743115313075623
BaseRepresentation
bin1001010001110110101001…
…1001001010111100100100
31100010100000002011121222222
42110131222121022330210
52314123334032430312
633410515312411512
72102044206535640
oct224355231127444
940110002147888
1010202332311332
11328386a685247
121189344546b98
135900ca723875
14273b1cc8dc20
1512a5bd01c672
hex9476a64af24

10202332311332 has 96 divisors (see below), whose sum is σ = 20917008279552. Its totient is φ = 4263016697856.

The previous prime is 10202332311323. The next prime is 10202332311359. The reversal of 10202332311332 is 23311323320201.

It is a super-2 number, since 2×102023323113322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1814390273 + ... + 1814395895.

It is an arithmetic number, because the mean of its divisors is an integer number (217885502912).

Almost surely, 210202332311332 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 10202332311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458504139776).

10202332311332 is an abundant number, since it is smaller than the sum of its proper divisors (10714675968220).

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

10202332311332 is a wasteful number, since it uses less digits than its factorization.

10202332311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 10202332311332 its reverse (23311323320201), we get a palindrome (33513655631533).

The spelling of 10202332311332 in words is "ten trillion, two hundred two billion, three hundred thirty-two million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1153 1204 1307 2306 2614 4612 5228 5623 8071 9149 11246 16142 18298 22492 32284 36596 39361 49579 56201 78722 99158 112402 157444 198316 224804 241789 347053 393407 483578 694106 786814 967156 1388212 1506971 1573628 1692523 3013942 3385046 6027884 6483319 6770092 7349261 10548797 12966638 14698522 21097594 25933276 29397044 42195188 45383233 51444827 64799753 90766466 102889654 129599506 181532932 205779308 259199012 278782717 316018223 453598271 557565434 632036446 907196542 1115130868 1264072892 1814393084 1951479019 2212127561 3902958038 4424255122 7805916076 8473697933 8848510244 16947395866 33894791732 59315885531 118631771062 237263542124 364369011119 728738022238 1457476044476 2550583077833 5101166155666 10202332311332