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23311102332132 = 223231831092308841
BaseRepresentation
bin1010100110011100010011…
…11110010100110011100100
310001112112000210122201101100
411103032021332110303210
511023412114144112012
6121324550024200100
74624112563331526
oct523161176246344
9101475023581340
1023311102332132
11747820160250a
122745a21009030
1310012c5b19024
145a83989a3a16
152a65967dd8dc
hex153389f94ce4

23311102332132 has 144 divisors (see below), whose sum is σ = 62123734632960. Its totient is φ = 7360951334400.

The previous prime is 23311102332121. The next prime is 23311102332137. The reversal of 23311102332132 is 23123320111332.

23311102332132 is a `hidden beast` number, since 2 + 3 + 311 + 1 + 0 + 2 + 332 + 13 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23311102332096 and 23311102332105.

It is not an unprimeable number, because it can be changed into a prime (23311102332137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8942032 + ... + 11250872.

It is an arithmetic number, because the mean of its divisors is an integer number (431414823840).

Almost surely, 223311102332132 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 23311102332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31061867316480).

23311102332132 is an abundant number, since it is smaller than the sum of its proper divisors (38812632300828).

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

23311102332132 is a wasteful number, since it uses less digits than its factorization.

23311102332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309074 (or 2309069 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 23311102332132 its reverse (23123320111332), we get a palindrome (46434422443464).

The spelling of 23311102332132 in words is "twenty-three trillion, three hundred eleven billion, one hundred two million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 83 93 109 124 166 186 218 249 279 327 332 372 436 498 558 654 747 981 996 1116 1308 1494 1962 2573 2988 3379 3924 5146 6758 7719 9047 10137 10292 13516 15438 18094 20274 23157 27141 30411 30876 36188 40548 46314 54282 60822 81423 92628 108564 121644 162846 280457 325692 560914 841371 1121828 1682742 2308841 2524113 3365484 4617682 5048226 6926523 9235364 10096452 13853046 20779569 27706092 41559138 71574071 83118276 143148142 191633803 214722213 251663669 286296284 383267606 429444426 503327338 574901409 644166639 754991007 766535212 858888852 1006654676 1149802818 1288333278 1509982014 1724704227 2264973021 2299605636 2576666556 3019964028 3449408454 4529946042 5940647893 6898816908 7801573739 9059892084 11881295786 15603147478 17821943679 20888084527 23404721217 23762591572 31206294956 35643887358 41776169054 46809442434 53465831037 62664253581 70214163651 71287774716 83552338108 93618884868 106931662074 125328507162 140428327302 187992760743 213863324148 250657014324 280856654604 375985521486 647530620337 751971042972 1295061240674 1942591861011 2590122481348 3885183722022 5827775583033 7770367444044 11655551166066 23311102332132