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13032442123312 = 24411031133474919
BaseRepresentation
bin1011110110100101101000…
…0101010101010000110000
31201010220000022002011001011
42331221122011111100300
53202010420140421222
643415004331520304
72513364031164313
oct275513205252060
951126008064034
1013032442123312
114175033907157
1215659365b9094
13736c52c972a1
14330ab893697a
1517900c8a7c77
hexbda5a155430

13032442123312 has 160 divisors (see below), whose sum is σ = 26429778385920. Its totient is φ = 6220607447040.

The previous prime is 13032442123303. The next prime is 13032442123313. The reversal of 13032442123312 is 21332124423031.

It is not an unprimeable number, because it can be changed into a prime (13032442123313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2649406389 + ... + 2649411307.

It is an arithmetic number, because the mean of its divisors is an integer number (165186114912).

Almost surely, 213032442123312 is an apocalyptic number.

It is an amenable number.

13032442123312 is an abundant number, since it is smaller than the sum of its proper divisors (13397336262608).

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

13032442123312 is a wasteful number, since it uses less digits than its factorization.

13032442123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 13032442123312 its reverse (21332124423031), we get a palindrome (34364566546343).

The spelling of 13032442123312 in words is "thirteen trillion, thirty-two billion, four hundred forty-two million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 41 82 103 113 164 206 226 328 347 412 452 656 694 824 904 1388 1648 1808 2776 4223 4633 4919 5552 8446 9266 9838 11639 14227 16892 18532 19676 23278 28454 33784 35741 37064 39211 39352 46556 56908 67568 71482 74128 78422 78704 93112 113816 142964 156844 186224 201679 227632 285928 313688 403358 477199 506657 555847 571856 627376 806716 954398 1013314 1111694 1465381 1607651 1613432 1706893 1908796 2026628 2223388 2930762 3215302 3226864 3413786 3817592 4038733 4053256 4446776 5861524 6430604 6827572 7635184 8077466 8106512 8893552 11723048 12861208 13655144 16154932 20772937 22789727 23446096 25722416 27310288 32309864 41545874 45579454 57252241 64619728 69982613 83091748 91158908 114504482 139965226 165588053 166183496 175809979 182317816 192878909 229008964 279930452 331176106 332366992 351619958 364635632 385757818 458017928 559860904 662352212 703239916 771515636 916035856 1119721808 1324704424 1406479832 1543031272 2347341881 2649408848 2812959664 3086062544 4694683762 7208209139 7908035269 9389367524 14416418278 15816070538 18778735048 19866527627 28832836556 31632141076 37557470096 39733055254 57665673112 63264282152 79466110508 115331346224 126528564304 158932221016 317864442032 814527632707 1629055265414 3258110530828 6516221061656 13032442123312