Search a number
-
+
13032302002300 = 22527192179449689
BaseRepresentation
bin1011110110100101000110…
…1110110100000001111100
31201010212122112102021011001
42331221101232310001330
53202010123303033200
643414542404340044
72513360410161250
oct275512156640174
951125575367131
1013032302002300
114174a71802169
1215658b76a4624
13736c2cc46b49
14330aa40a0260
1517900042a76a
hexbda51bb407c

13032302002300 has 144 divisors (see below), whose sum is σ = 34036856224000. Its totient is φ = 4231096404480.

The previous prime is 13032302002289. The next prime is 13032302002333. The reversal of 13032302002300 is 320020323031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28755856 + ... + 29205544.

Almost surely, 213032302002300 is an apocalyptic number.

13032302002300 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 13032302002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17018428112000).

13032302002300 is an abundant number, since it is smaller than the sum of its proper divisors (21004554221700).

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

13032302002300 is a wasteful number, since it uses less digits than its factorization.

13032302002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451908 (or 451901 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 13032302002300 its reverse (320020323031), we get a palindrome (13352322325331).

The spelling of 13032302002300 in words is "thirteen trillion, thirty-two billion, three hundred two million, two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2179 2660 3325 4358 6650 8716 10895 13300 15253 21790 30506 41401 43580 54475 61012 76265 82802 108950 152530 165604 207005 217900 289807 305060 381325 414010 449689 579614 762650 828020 899378 1035025 1159228 1449035 1525300 1798756 2070050 2248445 2898070 3147823 4140100 4496890 5796140 6295646 7245175 8544091 8993780 11242225 12591292 14490350 15739115 17088182 22484450 28980700 31478230 34176364 42720455 44968900 59808637 62956460 78695575 85440910 119617274 157391150 170881820 213602275 239234548 299043185 314782300 427204550 598086370 854409100 979872331 1196172740 1495215925 1959744662 2990431850 3919489324 4899361655 5980863700 6859106317 9798723310 13718212634 18617574289 19597446620 24496808275 27436425268 34295531585 37235148578 48993616550 68591063170 74470297156 93087871445 97987233100 130323020023 137182126340 171477657925 186175742890 260646040046 342955315850 372351485780 465439357225 521292080092 651615100115 685910631700 930878714450 1303230200230 1861757428900 2606460400460 3258075500575 6516151001150 13032302002300