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111013240032344 = 231329371317593997
BaseRepresentation
bin11001001111011101001000…
…101111001100110001011000
3112120001202120120102112112102
4121033131020233030301120
5104022320103422013334
61032034440050102532
732245304401632146
oct3117351057146130
9476052516375472
10111013240032344
11324104a5986381
121054b13957aa48
1349c36715a1460
141d5b0d8956596
15cc7a984e167e
hex64f748bccc58

111013240032344 has 128 divisors (see below), whose sum is σ = 239976411998400. Its totient is φ = 47765627320320.

The previous prime is 111013240032187. The next prime is 111013240032347. The reversal of 111013240032344 is 443230042310111.

It is a super-2 number, since 2×1110132400323442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111013240032347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10821554 + ... + 18415550.

Almost surely, 2111013240032344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111013240032344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119988205999200).

111013240032344 is an abundant number, since it is smaller than the sum of its proper divisors (128963171966056).

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

111013240032344 is a wasteful number, since it uses less digits than its factorization.

111013240032344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7594213 (or 7594209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 111013240032344 its reverse (443230042310111), we get a palindrome (554243282342455).

The spelling of 111013240032344 in words is "one hundred eleven trillion, thirteen billion, two hundred forty million, thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 29 37 52 58 74 104 116 131 148 232 262 296 377 481 524 754 962 1048 1073 1508 1703 1924 2146 3016 3406 3799 3848 4292 4847 6812 7598 8584 9694 13624 13949 15196 19388 27898 30392 38776 49387 55796 63011 98774 111592 126022 140563 197548 252044 281126 395096 504088 562252 1124504 1827319 3654638 7309276 7593997 14618552 15187994 30375988 60751976 98721961 197443922 220225913 280977889 394887844 440451826 561955778 789775688 880903652 994813607 1123911556 1761807304 1989627214 2247823112 2862936869 3652712557 3979254428 5725873738 7305425114 7958508856 8148358781 11451747476 12932576891 14610850228 16296717562 22903494952 25865153782 28849594603 29221700456 32593435124 36808103459 51730307564 57699189206 65186870248 73616206918 103460615128 105928664153 115398378412 147232413836 211857328306 230796756824 294464827672 375044729839 423714656612 478505344967 750089459678 847429313224 957010689934 1067435000311 1500178919356 1914021379868 2134870000622 3000357838712 3828042759736 4269740001244 8539480002488 13876655004043 27753310008086 55506620016172 111013240032344