Search a number
-
+
313321401101434 = 21123194144383687
BaseRepresentation
bin100011100111101101101001…
…0110100000010110001111010
31112002101020022011022201222011
41013033123102310002301322
5312031424212140221214
63030213510425520134
7122665503255521635
oct10717332264026172
91462336264281864
10313321401101434
1190919950716800
122b18395334304a
13105aa10993c65b
145752b9dda2c1c
15263531e431ac4
hex11cf6d2d02c7a

313321401101434 has 48 divisors (see below), whose sum is σ = 533822854537728. Its totient is φ = 137678193972000.

The previous prime is 313321401101431. The next prime is 313321401101437. The reversal of 313321401101434 is 434101104123313.

It is an interprime number because it is at equal distance from previous prime (313321401101431) and next prime (313321401101437).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 313321401101396 and 313321401101405.

It is not an unprimeable number, because it can be changed into a prime (313321401101431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15132462 + ... + 29251225.

It is an arithmetic number, because the mean of its divisors is an integer number (11121309469536).

Almost surely, 2313321401101434 is an apocalyptic number.

313321401101434 is a deficient number, since it is larger than the sum of its proper divisors (220501453436294).

313321401101434 is a wasteful number, since it uses less digits than its factorization.

313321401101434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44384683 (or 44384672 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 313321401101434 its reverse (434101104123313), we get a palindrome (747422505224747).

The spelling of 313321401101434 in words is "three hundred thirteen trillion, three hundred twenty-one billion, four hundred one million, one hundred one thousand, four hundred thirty-four".

Divisors: 1 2 11 22 31 62 121 242 341 682 941 1882 3751 7502 10351 20702 29171 58342 113861 227722 320881 641762 3529691 7059382 44383687 88767374 488220557 976441114 1375894297 2751788594 5370426127 10740852254 15134837267 30269674534 41765049467 83530098934 166483209937 332966419874 459415544137 918831088274 1294716533477 2589433066954 5053570985507 10107141971014 14241881868247 28483763736494 156660700550717 313321401101434