Search a number
-
+
31030010320 = 2454126333593
BaseRepresentation
bin11100111001100010…
…000110000111010000
32222002112102211220111
4130321202012013100
51002022140312240
622131024451104
72145644510251
oct347142060720
988075384814
1031030010320
11121836a5031
12601ba79a94
132c068abb6a
141705168b28
15c192871ea
hex7398861d0

31030010320 has 80 divisors (see below), whose sum is σ = 73953047952. Its totient is φ = 12101304320.

The previous prime is 31030010311. The next prime is 31030010351. The reversal of 31030010320 is 2301003013.

It can be written as a sum of positive squares in 8 ways, for example, as 10794378816 + 20235631504 = 103896^2 + 142252^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 31030010320.

It is a congruent number.

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, 8634444 + ... + 8638036.

Almost surely, 231030010320 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 31030010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36976523976).

31030010320 is an abundant number, since it is smaller than the sum of its proper divisors (42923037632).

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

31030010320 is a wasteful number, since it uses less digits than its factorization.

31030010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280 (or 6274 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 31030010320 its reverse (2301003013), we get a palindrome (33331013333).

The spelling of 31030010320 in words is "thirty-one billion, thirty million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 2633 3280 3593 5266 7186 10532 13165 14372 17965 21064 26330 28744 35930 42128 52660 57488 71860 105320 107953 143720 147313 210640 215906 287440 294626 431812 539765 589252 736565 863624 1079530 1178504 1473130 1727248 2159060 2357008 2946260 4318120 5892520 8636240 9460369 11785040 18920738 37841476 47301845 75682952 94603690 151365904 189207380 378414760 387875129 756829520 775750258 1551500516 1939375645 3103001032 3878751290 6206002064 7757502580 15515005160 31030010320