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13024114201120 = 255117400064887
BaseRepresentation
bin1011110110000110100110…
…1100110101001000100000
31201010002111220121212110111
42331201221230311020200
53201341341213413440
643411110115341104
72512650456051631
oct275415154651040
951102456555414
1013024114201120
11417154aa23a30
1215641b15b1794
1373622682b089
143305288ab888
15178bc16d54ea
hexbd869b35220

13024114201120 has 48 divisors (see below), whose sum is σ = 33566694331968. Its totient is φ = 4736041527040.

The previous prime is 13024114201103. The next prime is 13024114201123. The reversal of 13024114201120 is 2110241142031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13024114201091 and 13024114201100.

It is not an unprimeable number, because it can be changed into a prime (13024114201123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3700030684 + ... + 3700034203.

It is an arithmetic number, because the mean of its divisors is an integer number (699306131916).

Almost surely, 213024114201120 is an apocalyptic number.

13024114201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13024114201120 is an abundant number, since it is smaller than the sum of its proper divisors (20542580130848).

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

13024114201120 is a wasteful number, since it uses less digits than its factorization.

13024114201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400064913 (or 7400064905 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 13024114201120 its reverse (2110241142031), we get a palindrome (15134355343151).

It can be divided in two parts, 130241142011 and 20, that added together give a palindrome (130241142031).

The spelling of 13024114201120 in words is "thirteen trillion, twenty-four billion, one hundred fourteen million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 7400064887 14800129774 29600259548 37000324435 59200519096 74000648870 81400713757 118401038192 148001297740 162801427514 236802076384 296002595480 325602855028 407003568785 592005190960 651205710056 814007137570 1184010381920 1302411420112 1628014275140 2604822840224 3256028550280 6512057100560 13024114201120