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23133033132 = 223112101233677
BaseRepresentation
bin10101100010110101…
…100001001010101100
32012201011212211201220
4111202311201022230
5334334024030012
614343245103340
71446154352166
oct254265411254
965634784656
1023133033132
1198a0aa3200
124597257b50
1322487ca3b1
14119643b936
15905d3c08c
hex562d612ac

23133033132 has 144 divisors (see below), whose sum is σ = 60263644896. Its totient is φ = 6900608000.

The previous prime is 23133033089. The next prime is 23133033151.

23133033132 is nontrivially palindromic in base 10.

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, 34169578 + ... + 34170254.

It is an arithmetic number, because the mean of its divisors is an integer number (418497534).

Almost surely, 223133033132 is an apocalyptic number.

23133033132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23133033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30131822448).

23133033132 is an abundant number, since it is smaller than the sum of its proper divisors (37130611764).

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

23133033132 is a wasteful number, since it uses less digits than its factorization.

23133033132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 231330 and 33132, that added together give a palindrome (264462).

The spelling of 23133033132 in words is "twenty-three billion, one hundred thirty-three million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 233 242 303 363 404 466 484 606 677 699 726 932 1111 1212 1354 1398 1452 2031 2222 2563 2708 2796 3333 4062 4444 5126 6666 7447 7689 8124 10252 12221 13332 14894 15378 22341 23533 24442 28193 29788 30756 36663 44682 47066 48884 56386 68377 70599 73326 81917 84579 89364 94132 112772 136754 141198 146652 157741 163834 169158 205131 245751 258863 273508 282396 315482 327668 338316 410262 473223 491502 517726 630964 752147 776589 820524 946446 983004 1035452 1504294 1553178 1735151 1892892 2256441 2847493 3008588 3106356 3470302 4512882 5205453 5694986 6940604 8273617 8542479 9025764 10410906 11389972 15931841 16547234 17084958 19086661 20821812 24820851 31863682 33094468 34169916 38173322 47795523 49641702 57259983 63727364 76346644 95591046 99283404 114519966 175250251 191182092 229039932 350500502 525750753 701001004 1051501506 1927752761 2103003012 3855505522 5783258283 7711011044 11566516566 23133033132