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13002200120 = 2357137734621
BaseRepresentation
bin11000001101111110…
…11101010000111000
31020120010221012110102
430012333131100320
5203112030400440
65550110134532
7640130606660
oct140677352070
936503835412
1013002200120
115572448438
12262a4b1448
1312c2992250
148b4b7d1a0
15511738b15
hex306fdd438

13002200120 has 128 divisors (see below), whose sum is σ = 36060474240. Its totient is φ = 4108769280.

The previous prime is 13002200087. The next prime is 13002200147. The reversal of 13002200120 is 2100220031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2811410 + ... + 2816030.

It is an arithmetic number, because the mean of its divisors is an integer number (281722455).

Almost surely, 213002200120 is an apocalyptic number.

13002200120 is a gapful number since it is divisible by the number (10) 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 13002200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030237120).

13002200120 is an abundant number, since it is smaller than the sum of its proper divisors (23058274120).

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

13002200120 is a wasteful number, since it uses less digits than its factorization.

13002200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 13002200120 its reverse (2100220031), we get a palindrome (15102420151).

The spelling of 13002200120 in words is "thirteen billion, two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 773 910 1546 1820 3092 3640 3865 4621 5411 6184 7730 9242 10049 10822 15460 18484 20098 21644 23105 27055 30920 32347 36968 40196 43288 46210 50245 54110 60073 64694 70343 80392 92420 100490 108220 120146 129388 140686 161735 184840 200980 216440 240292 258776 281372 300365 323470 351715 401960 420511 480584 562744 600730 646940 703430 841022 1201460 1293880 1406860 1682044 2102555 2402920 2813720 3364088 3572033 4205110 7144066 8410220 14288132 16820440 17860165 25004231 28576264 35720330 46436429 50008462 71440660 92872858 100016924 125021155 142881320 185745716 200033848 232182145 250042310 325055003 371491432 464364290 500084620 650110006 928728580 1000169240 1300220012 1625275015 1857457160 2600440024 3250550030 6501100060 13002200120