Search a number
-
+
112302003211002 = 232116114096599051
BaseRepresentation
bin11001100010001101011001…
…000000100100101011111010
3112201121222002200201022201100
4121202031121000210223322
5104204424000310223002
61034502454505432230
732440360221124503
oct3142153100445372
9481558080638640
10112302003211002
1132868015118360
1210718a6979b676
134a88058694187
141da36359c5baa
15ceb375b9811c
hex662359024afa

112302003211002 has 96 divisors (see below), whose sum is σ = 269984110893120. Its totient is φ = 33449264640000.

The previous prime is 112302003210961. The next prime is 112302003211037. The reversal of 112302003211002 is 200112300203211.

112302003211002 is a `hidden beast` number, since 1 + 12 + 30 + 200 + 321 + 100 + 2 = 666.

It is a super-2 number, since 2×1123020032110022 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13718377 + ... + 20317427.

It is an arithmetic number, because the mean of its divisors is an integer number (2812334488470).

Almost surely, 2112302003211002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112302003211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134992055446560).

112302003211002 is an abundant number, since it is smaller than the sum of its proper divisors (157682107682118).

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

112302003211002 is a wasteful number, since it uses less digits than its factorization.

112302003211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600540 (or 6600537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112302003211002 its reverse (200112300203211), we get a palindrome (312414303414213).

The spelling of 112302003211002 in words is "one hundred twelve trillion, three hundred two billion, three million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 122 183 198 366 549 671 1098 1342 1409 2013 2818 4026 4227 6039 8454 12078 12681 15499 25362 30998 46497 85949 92994 139491 171898 257847 278982 515694 773541 945439 1547082 1890878 2836317 5672634 6599051 8508951 13198102 17017902 19797153 39594306 59391459 72589561 118782918 145179122 217768683 402542111 435537366 653306049 805084222 1207626333 1306612098 2415252666 3622878999 4427963221 7245757998 8855926442 9298062859 13283889663 18596125718 26567779326 27894188577 39851668989 55788377154 79703337978 83682565731 102278691449 167365131462 204557382898 306836074347 567181834399 613672148694 920508223041 1134363668798 1701545503197 1841016446082 3403091006394 5104636509591 6239000178389 10209273019182 12478000356778 18717000535167 37434001070334 56151001605501 112302003211002