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1111012120344 = 233747191736679
BaseRepresentation
bin10000001010101101011…
…110111001011100011000
310221012201100022102221210
4100022231132321130120
5121200323100322334
62210220353303120
7143160626130450
oct20125536713430
93835640272853
101111012120344
113991a5417aa5
1215b3a3864aa0
13809ca387609
143bab7c10d60
151dd776365e9
hex102ad7b9718

1111012120344 has 128 divisors (see below), whose sum is σ = 3258836582400. Its totient is φ = 309051154560.

The previous prime is 1111012120327. The next prime is 1111012120369. The reversal of 1111012120344 is 4430212101111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1111012120344.

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, 1139797 + ... + 1876475.

It is an arithmetic number, because the mean of its divisors is an integer number (25459660800).

Almost surely, 21111012120344 is an apocalyptic number.

1111012120344 is a gapful number since it is divisible by the number (14) 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 1111012120344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629418291200).

1111012120344 is an abundant number, since it is smaller than the sum of its proper divisors (2147824462056).

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

1111012120344 is a wasteful number, since it uses less digits than its factorization.

1111012120344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736933 (or 736929 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1111012120344 its reverse (4430212101111), we get a palindrome (5541224221455).

The spelling of 1111012120344 in words is "one trillion, one hundred eleven billion, twelve million, one hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 191 282 329 376 382 564 573 658 764 987 1128 1146 1316 1337 1528 1974 2292 2632 2674 3948 4011 4584 5348 7896 8022 8977 10696 16044 17954 26931 32088 35908 53862 62839 71816 107724 125678 188517 215448 251356 377034 502712 736679 754068 1473358 1508136 2210037 2946716 4420074 5156753 5893432 8840148 10313506 15470259 17680296 20627012 30940518 34623913 41254024 61881036 69247826 103871739 123762072 138495652 140705689 207743478 242367391 276991304 281411378 415486956 422117067 484734782 562822756 727102173 830973912 844234134 969469564 984939823 1125645512 1454204346 1688468268 1938939128 1969879646 2908408692 2954819469 3376936536 3939759292 5816817384 5909638938 6613167383 7879518584 11819277876 13226334766 19839502149 23638555752 26452669532 39679004298 46292171681 52905339064 79358008596 92584343362 138876515043 158716017192 185168686724 277753030086 370337373448 555506060172 1111012120344