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13211203000 = 2353167239331
BaseRepresentation
bin11000100110111001…
…01111010110111000
31021002201012122111211
430103130233112320
5204024031444000
610022533532504
7645246241552
oct142334572670
937081178454
1013211203000
11566a41a396
1226884a4134
13132707c2a8
148d48264d2
15524c707ba
hex31372f5b8

13211203000 has 128 divisors (see below), whose sum is σ = 31323801600. Its totient is φ = 5215056000.

The previous prime is 13211202989. The next prime is 13211203001. The reversal of 13211203000 is 30211231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211203001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39912835 + ... + 39913165.

It is an arithmetic number, because the mean of its divisors is an integer number (244717200).

Almost surely, 213211203000 is an apocalyptic number.

13211203000 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 13211203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15661900800).

13211203000 is an abundant number, since it is smaller than the sum of its proper divisors (18112598600).

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

13211203000 is a wasteful number, since it uses less digits than its factorization.

13211203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13211203000 its reverse (30211231), we get a palindrome (13241414231).

The spelling of 13211203000 in words is "thirteen billion, two hundred eleven million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 167 200 239 250 331 334 478 500 662 668 835 956 1000 1195 1324 1336 1655 1670 1912 2390 2648 3310 3340 4175 4780 5975 6620 6680 8275 8350 9560 11950 13240 16550 16700 20875 23900 29875 33100 33400 39913 41375 41750 47800 55277 59750 66200 79109 79826 82750 83500 110554 119500 158218 159652 165500 167000 199565 221108 239000 276385 316436 319304 331000 395545 399130 442216 552770 632872 791090 798260 997825 1105540 1381925 1582180 1596520 1977725 1995650 2211080 2763850 3164360 3955450 3991300 4989125 5527700 6909625 7910900 7982600 9888625 9978250 11055400 13211203 13819250 15821800 19777250 19956500 26422406 27638500 39554500 39913000 52844812 55277000 66056015 79109000 105689624 132112030 264224060 330280075 528448120 660560150 1321120300 1651400375 2642240600 3302800750 6605601500 13211203000