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212003131320 = 233253715916151
BaseRepresentation
bin1100010101110001011…
…1110000111110111000
3202021012212021221012200
43011130113300332320
511433140300200240
6241220510510200
721213430611651
oct3053427607670
9667185257180
10212003131320
1181a01271442
1235107505360
1316cb800c046
14a3922b6528
1557ac112930
hex315c5f0fb8

212003131320 has 96 divisors (see below), whose sum is σ = 707632117920. Its totient is φ = 55006214400.

The previous prime is 212003131303. The next prime is 212003131349. The reversal of 212003131320 is 23131300212.

212003131320 is a `hidden beast` number, since 21 + 200 + 313 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212003131293 and 212003131302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7944756 + ... + 7971395.

It is an arithmetic number, because the mean of its divisors is an integer number (7371167895).

Almost surely, 2212003131320 is an apocalyptic number.

212003131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212003131320 is an abundant number, since it is smaller than the sum of its proper divisors (495628986600).

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

212003131320 is a wasteful number, since it uses less digits than its factorization.

212003131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15916205 (or 15916198 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212003131320 its reverse (23131300212), we get a palindrome (235134431532).

The spelling of 212003131320 in words is "two hundred twelve billion, three million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 15916151 31832302 47748453 63664604 79580755 95496906 127329208 143245359 159161510 190993812 238742265 286490718 318323020 381987624 477484530 572981436 588897587 636646040 716226795 954969060 1145962872 1177795174 1432453590 1766692761 1909938120 2355590348 2864907180 2944487935 3533385522 4711180696 5300078283 5729814360 5888975870 7066771044 8833463805 10600156566 11777951740 14133542088 17666927610 21200313132 23555903480 26500391415 35333855220 42400626264 53000782830 70667710440 106001565660 212003131320