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231311320110 = 23451332296803
BaseRepresentation
bin1101011101101100111…
…0101010010000101110
3211010001111001112220000
43113123032222100232
512242211144220420
6254132444205130
722466052531363
oct3273316522056
9733044045800
10231311320110
118a10a234462
12389b58397a6
1318a74283920
14b2a475646a
15603c277690
hex35db3aa42e

231311320110 has 160 divisors (see below), whose sum is σ = 670120244640. Its totient is φ = 56912170752.

The previous prime is 231311320109. The next prime is 231311320117. The reversal of 231311320110 is 11023113132.

231311320110 is a `hidden beast` number, since 2 + 31 + 311 + 320 + 1 + 1 + 0 = 666.

It is a super-2 number, since 2×2313113201102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231311320117) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33997969 + ... + 34004771.

It is an arithmetic number, because the mean of its divisors is an integer number (4188251529).

Almost surely, 2231311320110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231311320110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335060122320).

231311320110 is an abundant number, since it is smaller than the sum of its proper divisors (438808924530).

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

231311320110 is a wasteful number, since it uses less digits than its factorization.

231311320110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10064 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 231311320110 its reverse (11023113132), we get a palindrome (242334433242).

The spelling of 231311320110 in words is "two hundred thirty-one billion, three hundred eleven million, three hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3229 3510 5265 6458 6803 9687 10530 13606 16145 19374 20409 29061 32290 34015 40818 41977 48435 58122 61227 68030 83954 87183 88439 96870 102045 122454 125931 145305 174366 176878 183681 204090 209885 251862 261549 265317 290610 306135 367362 377793 419770 435915 442195 523098 530634 551043 612270 629655 755586 795951 871830 884390 918405 1102086 1133379 1259310 1307745 1326585 1591902 1836810 1888965 2266758 2387853 2615490 2653170 2755215 3400137 3777930 3979755 4775706 5510430 5666895 6800274 7163559 7959510 11333790 11939265 14327118 17000685 21966887 23878530 34001370 35817795 43933774 65900661 71635590 109834435 131801322 197701983 219668870 285569531 329503305 395403966 571139062 593105949 659006610 856708593 988509915 1186211898 1427847655 1713417186 1779317847 1977019830 2570125779 2855695310 2965529745 3558635694 4283542965 5140251558 5931059490 7710377337 8567085930 8896589235 12850628895 15420754674 17793178470 23131132011 25701257790 38551886685 46262264022 77103773370 115655660055 231311320110