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1313213121024 = 2937217448091
BaseRepresentation
bin10011000111000001100…
…110100000001000000000
311122112122002011112202220
4103013001212200020000
5133003430024333044
62443140510411040
7163606434232200
oct23070146401000
94575562145686
101313213121024
11466a26631622
12192614500a80
1396ab269874c
14477ba350400
152425de24019
hex131c19a0200

1313213121024 has 120 divisors (see below), whose sum is σ = 4069662770448. Its totient is φ = 375203727360.

The previous prime is 1313213120993. The next prime is 1313213121037. The reversal of 1313213121024 is 4201213123131.

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

It is a junction number, because it is equal to n+sod(n) for n = 1313213120985 and 1313213121003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8648782 + ... + 8799309.

Almost surely, 21313213121024 is an apocalyptic number.

1313213121024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1313213121024 is an abundant number, since it is smaller than the sum of its proper divisors (2756449649424).

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

1313213121024 is an equidigital number, since it uses as much as digits as its factorization.

1313213121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17448126 (or 17448103 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1313213121024 its reverse (4201213123131), we get a palindrome (5514426244155).

The spelling of 1313213121024 in words is "one trillion, three hundred thirteen billion, two hundred thirteen million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2688 3136 3584 4704 5376 6272 9408 10752 12544 18816 25088 37632 75264 17448091 34896182 52344273 69792364 104688546 122136637 139584728 209377092 244273274 279169456 366409911 418754184 488546548 558338912 732819822 837508368 854956459 977093096 1116677824 1465639644 1675016736 1709912918 1954186192 2233355648 2564869377 2931279288 3350033472 3419825836 3908372384 4466711296 5129738754 5862558576 6700066944 6839651672 7816744768 8933422592 10259477508 11725117152 13400133888 13679303344 15633489536 20518955016 23450234304 26800267776 27358606688 31266979072 41037910032 46900468608 54717213376 62533958144 82075820064 93800937216 109434426752 164151640128 187601874432 218868853504 328303280256 437737707008 656606560512 1313213121024