Search a number
-
+
11312355210 = 23513377310739
BaseRepresentation
bin10101000100100010…
…01101011110001010
31002012101012012000220
422202101031132022
5141131430331320
65110303010510
7550221301302
oct124221153612
932171165026
1011312355210
1148855909a2
122238599a36
1310b3860010
1479457c602
154631dde40
hex2a244d78a

11312355210 has 128 divisors (see below), whose sum is σ = 30442487040. Its totient is φ = 2671958016.

The previous prime is 11312355191. The next prime is 11312355211. The reversal of 11312355210 is 1255321311.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11312355211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1048021 + ... + 1058759.

It is an arithmetic number, because the mean of its divisors is an integer number (237831930).

Almost surely, 211312355210 is an apocalyptic number.

11312355210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312355210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221243520).

11312355210 is an abundant number, since it is smaller than the sum of its proper divisors (19130131830).

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

11312355210 is a wasteful number, since it uses less digits than its factorization.

11312355210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11312355210 its reverse (1255321311), we get a palindrome (12567676521).

The spelling of 11312355210 in words is "eleven billion, three hundred twelve million, three hundred fifty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 73 74 78 111 130 146 185 195 219 222 365 370 390 438 481 555 730 949 962 1095 1110 1443 1898 2190 2405 2701 2847 2886 4745 4810 5402 5694 7215 8103 9490 10739 13505 14235 14430 16206 21478 27010 28470 32217 35113 40515 53695 64434 70226 81030 105339 107390 139607 161085 175565 210678 279214 322170 351130 397343 418821 526695 698035 783947 794686 837642 1053390 1192029 1396070 1567894 1986715 2094105 2351841 2384058 3919735 3973430 4188210 4703682 5165459 5960145 7839470 10191311 10330918 11759205 11920290 15496377 20382622 23518410 25827295 29006039 30573933 30992754 50956555 51654590 58012078 61147866 77481885 87018117 101913110 145030195 152869665 154963770 174036234 290060390 305739330 377078507 435090585 754157014 870181170 1131235521 1885392535 2262471042 3770785070 5656177605 11312355210