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13120041032 = 2372953313487
BaseRepresentation
bin11000011100000001…
…11111000001001000
31020212100200010210122
430032000333001020
5203332212303112
610005520002412
7643061336330
oct141600770110
936770603718
1013120041032
115622a1501a
122661a60408
1313112114b7
148c66960c0
1551bc64872
hex30e03f048

13120041032 has 128 divisors (see below), whose sum is σ = 29788300800. Its totient is φ = 5298628608.

The previous prime is 13120041031. The next prime is 13120041071. The reversal of 13120041032 is 23014002131.

It is a self number, because there is not a number n which added to its sum of digits gives 13120041032.

It is not an unprimeable number, because it can be changed into a prime (13120041031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26940293 + ... + 26940779.

It is an arithmetic number, because the mean of its divisors is an integer number (232721100).

Almost surely, 213120041032 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 13120041032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894150400).

13120041032 is an abundant number, since it is smaller than the sum of its proper divisors (16668259768).

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

13120041032 is a wasteful number, since it uses less digits than its factorization.

13120041032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13120041032 its reverse (23014002131), we get a palindrome (36134043163).

The spelling of 13120041032 in words is "thirteen billion, one hundred twenty million, forty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 29 53 56 58 106 116 203 212 232 313 371 406 424 487 626 742 812 974 1252 1484 1537 1624 1948 2191 2504 2968 3074 3409 3896 4382 6148 6818 8764 9077 10759 12296 13636 14123 16589 17528 18154 21518 25811 27272 28246 33178 36308 43036 51622 56492 63539 66356 72616 86072 98861 103244 112984 116123 127078 132712 152431 180677 197722 206488 232246 254156 304862 361354 395444 464492 481081 508312 609724 722708 748519 790888 928984 962162 1067017 1219448 1445416 1497038 1924324 2134034 2994076 3367567 3848648 4268068 4420499 5239633 5988152 6735134 8078843 8536136 8840998 10479266 13470268 16157686 17681996 20958532 26940536 30943493 32315372 35363992 41917064 56551901 61886986 64630744 113103802 123773972 226207604 234286447 247547944 452415208 468572894 937145788 1640005129 1874291576 3280010258 6560020516 13120041032