Search a number
-
+
1213140213240 = 2335101498720071
BaseRepresentation
bin10001101001110100110…
…010101001110111111000
311021222022211100002211220
4101221310302221313320
5124334002343310430
62325150420552040
7153434513446434
oct21516462516770
94258284302756
101213140213240
1142854302985a
12177146252620
138a524a3cb07
1442a057519c4
15218535d7110
hex11a74ca9df8

1213140213240 has 128 divisors (see below), whose sum is σ = 3676374673920. Its totient is φ = 320220864000.

The previous prime is 1213140213217. The next prime is 1213140213281. The reversal of 1213140213240 is 423120413121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1213140213240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60432405 + ... + 60452475.

It is an arithmetic number, because the mean of its divisors is an integer number (28721677140).

Almost surely, 21213140213240 is an apocalyptic number.

1213140213240 is a gapful number since it is divisible by the number (10) 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 1213140213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838187336960).

1213140213240 is an abundant number, since it is smaller than the sum of its proper divisors (2463234460680).

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

1213140213240 is a wasteful number, since it uses less digits than its factorization.

1213140213240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25173 (or 25169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1213140213240 its reverse (423120413121), we get a palindrome (1636260626361).

The spelling of 1213140213240 in words is "one trillion, two hundred thirteen billion, one hundred forty million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 4987 6060 9974 12120 14961 19948 20071 24935 29922 39896 40142 49870 59844 60213 74805 80284 99740 100355 119688 120426 149610 160568 199480 200710 240852 299220 301065 401420 481704 503687 598440 602130 802840 1007374 1204260 1511061 2014748 2027171 2408520 2518435 3022122 4029496 4054342 5036870 6044244 6081513 7555305 8108684 10073740 10135855 12088488 12163026 15110610 16217368 20147480 20271710 24326052 30221220 30407565 40543420 48652104 60442440 60815130 81086840 100094077 121630260 200188154 243260520 300282231 400376308 500470385 600564462 800752616 1000940770 1201128924 1501411155 2001881540 2402257848 3002822310 4003763080 6005644620 10109501777 12011289240 20219003554 30328505331 40438007108 50547508885 60657010662 80876014216 101095017770 121314021324 151642526655 202190035540 242628042648 303285053310 404380071080 606570106620 1213140213240