Search a number
-
+
111413315112 = 23311799475641
BaseRepresentation
bin110011111000011000…
…0000100011000101000
3101122120120210211020020
41213300300010120220
53311133302040422
6123103234000440
711022632360451
oct1476060043050
9348516724206
10111413315112
1143282a03730
1219714116120
13a67725b138
14556cba0128
152d7121c95c
hex19f0c04628

111413315112 has 128 divisors (see below), whose sum is σ = 308080281600. Its totient is φ = 33293145600.

The previous prime is 111413315087. The next prime is 111413315141. The reversal of 111413315112 is 211513314111.

It is a happy number.

111413315112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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, 19747812 + ... + 19753452.

It is an arithmetic number, because the mean of its divisors is an integer number (2406877200).

Almost surely, 2111413315112 is an apocalyptic number.

111413315112 is a gapful number since it is divisible by the number (12) 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 111413315112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154040140800).

111413315112 is an abundant number, since it is smaller than the sum of its proper divisors (196666966488).

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

111413315112 is a wasteful number, since it uses less digits than its factorization.

111413315112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687 (or 6683 counting only the distinct ones).

The product of its digits is 360, while the sum is 24.

Adding to 111413315112 its reverse (211513314111), we get a palindrome (322926629223).

The spelling of 111413315112 in words is "one hundred eleven billion, four hundred thirteen million, three hundred fifteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 947 948 1738 1894 1896 2607 2841 3476 3788 5214 5641 5682 6952 7576 10417 10428 11282 11364 16923 20834 20856 22564 22728 31251 33846 41668 45128 62051 62502 67692 74813 83336 124102 125004 135384 149626 186153 224439 248204 250008 299252 372306 445639 448878 496408 598504 744612 822943 891278 897756 1336917 1489224 1645886 1782556 1795512 2468829 2673834 3291772 3565112 4902029 4937658 5342027 5347668 6583544 9804058 9875316 10684054 10695336 14706087 16026081 19608116 19750632 21368108 29412174 32052162 39216232 42736216 58762297 58824348 64104324 117524594 117648696 128208648 176286891 235049188 352573782 422020133 470098376 705147564 844040266 1266060399 1410295128 1688080532 2532120798 3376161064 4642221463 5064241596 9284442926 10128483192 13926664389 18568885852 27853328778 37137771704 55706657556 111413315112