Search a number
-
+
31230203243100 = 223521014332380369
BaseRepresentation
bin1110001100111010110010…
…01010111010101001011100
311002120120121120010120221220
413012131121022322221130
513043133424012234400
6150230542440053340
76402210356413461
oct706353112725134
9132516546116856
1031230203243100
119a50722619784
123604757a64250
131456cc3240524
1479d79ad07668
153925813887a0
hex1c67592baa5c

31230203243100 has 144 divisors (see below), whose sum is σ = 91464822230880. Its totient is φ = 8226551808000.

The previous prime is 31230203243027. The next prime is 31230203243131. The reversal of 31230203243100 is 134230203213.

It is a super-3 number, since 3×312302032431003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11929716 + ... + 14310084.

Almost surely, 231230203243100 is an apocalyptic number.

31230203243100 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 31230203243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45732411115440).

31230203243100 is an abundant number, since it is smaller than the sum of its proper divisors (60234618987780).

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

31230203243100 is a wasteful number, since it uses less digits than its factorization.

31230203243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380920 (or 2380913 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31230203243100 its reverse (134230203213), we get a palindrome (31364433446313).

The spelling of 31230203243100 in words is "thirty-one trillion, two hundred thirty billion, two hundred three million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 433 505 606 866 1010 1212 1299 1515 1732 2020 2165 2525 2598 3030 4330 5050 5196 6060 6495 7575 8660 10100 10825 12990 15150 21650 25980 30300 32475 43300 43733 64950 87466 129900 131199 174932 218665 262398 437330 524796 655995 874660 1093325 1311990 2186650 2380369 2623980 3279975 4373300 4760738 6559950 7141107 9521476 11901845 13119900 14282214 23803690 28564428 35705535 47607380 59509225 71411070 119018450 142822140 178527675 238036900 240417269 357055350 480834538 714110700 721251807 961669076 1030699777 1202086345 1442503614 2061399554 2404172690 2885007228 3092099331 3606259035 4122799108 4808345380 5153498885 6010431725 6184198662 7212518070 10306997770 12020863450 12368397324 14425036140 15460496655 18031295175 20613995540 24041726900 25767494425 30920993310 36062590350 51534988850 61841986620 72125180700 77302483275 103069977700 104100677477 154604966550 208201354954 309209933100 312302032431 416402709908 520503387385 624604064862 1041006774770 1249208129724 1561510162155 2082013549540 2602516936925 3123020324310 5205033873850 6246040648620 7807550810775 10410067747700 15615101621550 31230203243100