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31321101212320 = 2553494011398773
BaseRepresentation
bin1110001111100100000110…
…00111001001101010100000
311002220021020101200212021111
413013302003013021222200
513101131103402243240
6150340414255033104
76411606041410213
oct707620307115240
9132807211625244
1031321101212320
119a86228105397
12361a2a550b794
13146274b0c7a2a
147a3d4119377a
15394b014901ea
hex1c7c831c9aa0

31321101212320 has 96 divisors (see below), whose sum is σ = 74393235680400. Its totient is φ = 12461379993600.

The previous prime is 31321101212281. The next prime is 31321101212333. The reversal of 31321101212320 is 2321210112313.

It can be written as a sum of positive squares in 8 ways, for example, as 26964881043984 + 4356220168336 = 5192772^2 + 2087156^2 .

It is a super-2 number, since 2×313211012123202 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31321101212291 and 31321101212300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21692454 + ... + 23091226.

Almost surely, 231321101212320 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 31321101212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37196617840200).

31321101212320 is an abundant number, since it is smaller than the sum of its proper divisors (43072134468080).

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

31321101212320 is a wasteful number, since it uses less digits than its factorization.

31321101212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399538 (or 1399530 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 31321101212320 its reverse (2321210112313), we get a palindrome (33642311324633).

The spelling of 31321101212320 in words is "thirty-one trillion, three hundred twenty-one billion, one hundred one million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 349 401 698 802 1396 1604 1745 2005 2792 3208 3490 4010 5584 6416 6980 8020 11168 12832 13960 16040 27920 32080 55840 64160 139949 279898 559796 699745 1119592 1398773 1399490 2239184 2797546 2798980 4478368 5595092 5597960 6993865 11190184 11195920 13987730 22380368 22391840 27975460 44760736 55950920 111901840 223803680 488171777 560907973 976343554 1121815946 1952687108 2243631892 2440858885 2804539865 3905374216 4487263784 4881717770 5609079730 7810748432 8974527568 9763435540 11218159460 15621496864 17949055136 19526871080 22436318920 39053742160 44872637840 78107484320 89745275680 195756882577 391513765154 783027530308 978784412885 1566055060616 1957568825770 3132110121232 3915137651540 6264220242464 7830275303080 15660550606160 31321101212320