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13044001202320 = 2451128361318543
BaseRepresentation
bin1011110111010000101100…
…0011101110000010010000
31201011222211212112012111111
42331310023003232002100
53202203103301433240
643424155331023104
72514253336554154
oct275641303560220
951158755465444
1013044001202320
114179a25693310
12156802173aa94
137380759906ca
14331493b7b064
151794875801ea
hexbdd0b0ee090

13044001202320 has 160 divisors (see below), whose sum is σ = 33210538389504. Its totient is φ = 4725188390400.

The previous prime is 13044001202317. The next prime is 13044001202327. The reversal of 13044001202320 is 2320210044031.

It is a super-2 number, since 2×130440012023202 (a number of 27 digits) contains 22 as substring.

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 = 13044001202291 and 13044001202300.

It is not an unprimeable number, because it can be changed into a prime (13044001202327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1526859969 + ... + 1526868511.

Almost surely, 213044001202320 is an apocalyptic number.

13044001202320 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 13044001202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16605269194752).

13044001202320 is an abundant number, since it is smaller than the sum of its proper divisors (20166537187184).

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

13044001202320 is a wasteful number, since it uses less digits than its factorization.

13044001202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14981 (or 14975 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13044001202320 its reverse (2320210044031), we get a palindrome (15364211246351).

The spelling of 13044001202320 in words is "thirteen trillion, forty-four billion, one million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 283 440 566 880 1132 1415 2264 2830 3113 4528 5660 6131 6226 8543 11320 12262 12452 15565 17086 22640 24524 24904 30655 31130 34172 42715 49048 49808 61310 62260 67441 68344 85430 93973 98096 122620 124520 134882 136688 170860 187946 245240 249040 269764 337205 341720 375892 469865 490480 539528 674410 683440 751784 939730 1079056 1348820 1503568 1735073 1879460 2417669 2697640 3470146 3758920 4835338 5395280 6940292 7517840 8675365 9670676 12088345 13880584 17350730 19085803 19341352 24176690 26594359 27761168 34701460 38171606 38682704 48353380 52377133 53188718 69402920 76343212 95429015 96706760 104754266 106377436 132971795 138805840 152686424 190858030 193413520 209508532 212754872 261885665 265943590 305372848 381716060 419017064 425509744 523771330 531887180 576148463 763432120 838034128 1047542660 1063774360 1152296926 1526864240 2095085320 2127548720 2304593852 2880742315 4190170640 4609187704 5761484630 9218375408 11522969260 14822728639 23045938520 29645457278 46091877040 59290914556 74113643195 118581829112 148227286390 163050015029 237163658224 296454572780 326100030058 592909145560 652200060116 815250075145 1185818291120 1304400120232 1630500150290 2608800240464 3261000300580 6522000601160 13044001202320