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315212311420 = 22537718297237
BaseRepresentation
bin1001001011001000001…
…11100010101101111100
31010010121200120111221121
410211210013202231330
520131023322431140
6400450113440324
731526153303446
oct4454407425574
91103550514847
10315212311420
1111175414aaa6
125110bb700a4
1323955652906
1411383631496
1582ece6064a
hex49641e2b7c

315212311420 has 96 divisors (see below), whose sum is σ = 690338436480. Its totient is φ = 120786785280.

The previous prime is 315212311399. The next prime is 315212311489. The reversal of 315212311420 is 24113212513.

It is a congruent number.

It is an unprimeable number.

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, 43552042 + ... + 43559278.

It is an arithmetic number, because the mean of its divisors is an integer number (7191025380).

Almost surely, 2315212311420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315212311420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345169218240).

315212311420 is an abundant number, since it is smaller than the sum of its proper divisors (375126125060).

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

315212311420 is a wasteful number, since it uses less digits than its factorization.

315212311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8183 (or 8181 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 315212311420 its reverse (24113212513), we get a palindrome (339325523933).

The spelling of 315212311420 in words is "three hundred fifteen billion, two hundred twelve million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 71 74 142 148 185 284 355 370 710 740 829 1420 1658 2627 3316 4145 5254 7237 8290 10508 13135 14474 16580 26270 28948 30673 36185 52540 58859 61346 72370 117718 122692 144740 153365 235436 267769 294295 306730 513827 535538 588590 613460 1027654 1071076 1177180 1338845 2055308 2177783 2569135 2677690 4355566 5138270 5355380 5999473 8711132 10276540 10888915 11998946 19011599 21777830 23997892 29997365 38023198 43555660 59994730 76046396 95057995 119989460 190115990 221980501 380231980 425962583 443961002 851925166 887922004 1109902505 1703850332 2129812915 2219805010 4259625830 4439610020 8519251660 15760615571 31521231142 63042462284 78803077855 157606155710 315212311420