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13213111213104 = 24311216741135893
BaseRepresentation
bin1100000001000110101011…
…0011001101110000110000
31201210011100102211211221020
43000101222303031300300
53212440422432304404
644034004113255440
72532421133126445
oct300215263156060
951704312754836
1013213111213104
1142347158a6400
121594958264580
1374acb641784a
143397375419cc
1517da83bc9ed9
hexc046accdc30

13213111213104 has 120 divisors (see below), whose sum is σ = 37521565143216. Its totient is φ = 4003704460800.

The previous prime is 13213111213103. The next prime is 13213111213157. The reversal of 13213111213104 is 40131211131231.

It is a super-4 number, since 4×132131112131044 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13213111213103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97163782 + ... + 97299674.

Almost surely, 213213111213104 is an apocalyptic number.

It is an amenable number.

13213111213104 is an abundant number, since it is smaller than the sum of its proper divisors (24308453930112).

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

13213111213104 is a wasteful number, since it uses less digits than its factorization.

13213111213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152667 (or 152650 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 13213111213104 its reverse (40131211131231), we get a palindrome (53344322344335).

The spelling of 13213111213104 in words is "thirteen trillion, two hundred thirteen billion, one hundred eleven million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 16741 33482 50223 66964 100446 133928 135893 184151 200892 267856 271786 368302 401784 407679 543572 552453 736604 803568 815358 1087144 1104906 1473208 1494823 1630716 2025661 2174288 2209812 2946416 2989646 3261432 4051322 4419624 4484469 5979292 6076983 6522864 8102644 8839248 8968938 11958584 12153966 16205288 16443053 17937876 23917168 24307932 32410576 32886106 35875752 48615864 49329159 65772212 71751504 97231728 98658318 131544424 197316636 263088848 394633272 789266544 2274984713 4549969426 6824954139 9099938852 13649908278 18199877704 25024831843 27299816556 36399755408 50049663686 54599633112 75074495529 100099327372 109199266224 150148991058 200198654744 275273150273 300297982116 400397309488 550546300546 600595964232 825819450819 1101092601092 1201191928464 1651638901638 2202185202184 3303277803276 4404370404368 6606555606552 13213111213104