Search a number
-
+
31030233500 = 2253765313577
BaseRepresentation
bin11100111001100010…
…111100100110011100
32222002112212012001102
4130321202330212130
51002022214433000
622131033332232
72145646430030
oct347142744634
988075765042
1031030233500
1112183837782
12601bb67078
132c06959616
1417051c61c0
15c192cd3d5
hex7398bc99c

31030233500 has 96 divisors (see below), whose sum is σ = 77575784832. Its totient is φ = 10621862400.

The previous prime is 31030233473. The next prime is 31030233503. The reversal of 31030233500 is 533203013.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31030233503) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2278712 + ... + 2292288.

It is an arithmetic number, because the mean of its divisors is an integer number (808081092).

Almost surely, 231030233500 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 31030233500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38787892416).

31030233500 is an abundant number, since it is smaller than the sum of its proper divisors (46545551332).

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

31030233500 is a wasteful number, since it uses less digits than its factorization.

31030233500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14256 (or 14244 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

Adding to 31030233500 its reverse (533203013), we get a palindrome (31563436513).

The spelling of 31030233500 in words is "thirty-one billion, thirty million, two hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 653 700 875 1306 1750 2612 3265 3500 4571 6530 9142 13060 13577 16325 18284 22855 27154 32650 45710 54308 65300 67885 81625 91420 95039 114275 135770 163250 190078 228550 271540 326500 339425 380156 457100 475195 571375 678850 950390 1142750 1357700 1697125 1900780 2285500 2375975 3394250 4751950 6788500 8865781 9503900 11879875 17731562 23759750 35463124 44328905 47519500 62060467 88657810 124120934 177315620 221644525 248241868 310302335 443289050 620604670 886578100 1108222625 1241209340 1551511675 2216445250 3103023350 4432890500 6206046700 7757558375 15515116750 31030233500