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312101121310 = 251122391912203
BaseRepresentation
bin1001000101010101010…
…11010010110100011110
31002211120212022200110021
410202222223102310132
520103140341340220
6355213254102354
731356104521366
oct4425253226436
91084525280407
10312101121310
111103a7a45900
12505a204a9ba
132357ac0a414
141116a3639a6
1581b9c564aa
hex48aaad2d1e

312101121310 has 96 divisors (see below), whose sum is σ = 645097582080. Its totient is φ = 108429900480.

The previous prime is 312101121271. The next prime is 312101121329. The reversal of 312101121310 is 13121101213.

It is a happy number.

It is a super-4 number, since 4×3121011213104 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 25569669 + ... + 25581871.

It is an arithmetic number, because the mean of its divisors is an integer number (6719766480).

Almost surely, 2312101121310 is an apocalyptic number.

312101121310 is an abundant number, since it is smaller than the sum of its proper divisors (332996460770).

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

312101121310 is a wasteful number, since it uses less digits than its factorization.

312101121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13174 (or 13163 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 312101121310 its reverse (13121101213), we get a palindrome (325222222523).

The spelling of 312101121310 in words is "three hundred twelve billion, one hundred one million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 121 230 242 253 506 605 919 1210 1265 1838 2530 2783 4595 5566 9190 10109 12203 13915 20218 21137 24406 27830 42274 50545 61015 101090 105685 111199 122030 134233 211370 222398 232507 268466 280669 465014 555995 561338 671165 1111990 1162535 1342330 1403345 1476563 2325070 2557577 2806690 2953126 3087359 5115154 6174718 7382815 11214557 12787885 14765630 15436795 22429114 25575770 30873590 33960949 56072785 67921898 112145570 123360127 169804745 246720254 257934811 339609490 515869622 616800635 1233601270 1289674055 1356961397 2579348110 2713922794 2837282921 5674565842 6784806985 13569613970 14186414605 28372829210 31210112131 62420224262 156050560655 312101121310