Search a number
-
+
31020424240 = 24513157189983
BaseRepresentation
bin11100111000111101…
…100001110000110000
32222001212101211021111
4130320331201300300
51002012212033430
622130043203104
72145500153431
oct347075416060
988055354244
1031020424240
1112179247953
126018816494
132c04903820
141703b91488
15c184e1c2a
hex738f61c30

31020424240 has 80 divisors (see below), whose sum is σ = 78165497088. Its totient is φ = 11380681728.

The previous prime is 31020424217. The next prime is 31020424241. The reversal of 31020424240 is 4242402013.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (31020424241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68289 + ... + 258271.

Almost surely, 231020424240 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 31020424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39082748544).

31020424240 is an abundant number, since it is smaller than the sum of its proper divisors (47145072848).

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

31020424240 is a wasteful number, since it uses less digits than its factorization.

31020424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190166 (or 190160 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 31020424240 its reverse (4242402013), we get a palindrome (35262826253).

The spelling of 31020424240 in words is "thirty-one billion, twenty million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 157 208 260 314 520 628 785 1040 1256 1570 2041 2512 3140 4082 6280 8164 10205 12560 16328 20410 32656 40820 81640 163280 189983 379966 759932 949915 1519864 1899830 2469779 3039728 3799660 4939558 7599320 9879116 12348895 15198640 19758232 24697790 29827331 39516464 49395580 59654662 98791160 119309324 149136655 197582320 238618648 298273310 387755303 477237296 596546620 775510606 1193093240 1551021212 1938776515 2386186480 3102042424 3877553030 6204084848 7755106060 15510212120 31020424240