Search a number
-
+
31121302440 = 23352954716349
BaseRepresentation
bin11100111110111110…
…010110001110101000
32222022220012222011010
4130332332112032220
51002214023134230
622144045303520
72151133464114
oct347676261650
988286188133
1031121302440
1112220189168
126046564ba0
132c1c793c77
141713330744
15c222bb9b0
hex73ef963a8

31121302440 has 128 divisors (see below), whose sum is σ = 96765840000. Its totient is φ = 7997703168.

The previous prime is 31121302439. The next prime is 31121302441. The reversal of 31121302440 is 4420312113.

It is an interprime number because it is at equal distance from previous prime (31121302439) and next prime (31121302441).

It is not an unprimeable number, because it can be changed into a prime (31121302441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1895386 + ... + 1911734.

It is an arithmetic number, because the mean of its divisors is an integer number (755983125).

Almost surely, 231121302440 is an apocalyptic number.

31121302440 is a gapful number since it is divisible by the number (30) 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 31121302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48382920000).

31121302440 is an abundant number, since it is smaller than the sum of its proper divisors (65644537560).

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

31121302440 is a wasteful number, since it uses less digits than its factorization.

31121302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16939 (or 16935 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31121302440 its reverse (4420312113), we get a palindrome (35541614553).

The spelling of 31121302440 in words is "thirty-one billion, one hundred twenty-one million, three hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 547 580 696 870 1094 1160 1641 1740 2188 2735 3282 3480 4376 5470 6564 8205 10940 13128 15863 16349 16410 21880 31726 32698 32820 47589 49047 63452 65396 65640 79315 81745 95178 98094 126904 130792 158630 163490 190356 196188 237945 245235 317260 326980 380712 392376 474121 475890 490470 634520 653960 948242 951780 980940 1422363 1896484 1903560 1961880 2370605 2844726 3792968 4741210 5689452 7111815 8942903 9482420 11378904 14223630 17885806 18964840 26828709 28447260 35771612 44714515 53657418 56894520 71543224 89429030 107314836 134143545 178858060 214629672 259344187 268287090 357716120 518688374 536574180 778032561 1037376748 1073148360 1296720935 1556065122 2074753496 2593441870 3112130244 3890162805 5186883740 6224260488 7780325610 10373767480 15560651220 31121302440