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1114112141120 = 26511551957349
BaseRepresentation
bin10000001101100110010…
…000100010011101000000
310221111201101112211000002
4100031212100202131000
5121223200202003440
62211452133415132
7143330510643056
oct20154620423500
93844641484002
101114112141120
1139a546293540
1215bb09a9a4a8
13810a26bbc34
143bccd8121d6
151dea9886115
hex10366422740

1114112141120 has 112 divisors (see below), whose sum is σ = 2894734368000. Its totient is φ = 405051217920.

The previous prime is 1114112141099. The next prime is 1114112141159. The reversal of 1114112141120 is 211412114111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1114112141092 and 1114112141101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19398206 + ... + 19455554.

Almost surely, 21114112141120 is an apocalyptic number.

1114112141120 is a gapful number since it is divisible by the number (10) 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 1114112141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447367184000).

1114112141120 is an abundant number, since it is smaller than the sum of its proper divisors (1780622226880).

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

1114112141120 is a wasteful number, since it uses less digits than its factorization.

1114112141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62896 (or 62886 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 1114112141120 its reverse (211412114111), we get a palindrome (1325524255231).

The spelling of 1114112141120 in words is "one trillion, one hundred fourteen billion, one hundred twelve million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 5519 11038 22076 27595 44152 55190 57349 60709 88304 110380 114698 121418 176608 220760 229396 242836 286745 303545 353216 441520 458792 485672 573490 607090 630839 883040 917584 971344 1146980 1214180 1261678 1766080 1835168 1942688 2293960 2428360 2523356 3154195 3670336 3885376 4587920 4856720 5046712 6308390 9175840 9713440 10093424 12616780 18351680 19426880 20186848 25233560 40373696 50467120 100934240 201868480 316509131 633018262 1266036524 1582545655 2532073048 3165091310 3481600441 5064146096 6330182620 6963200882 10128292192 12660365240 13926401764 17408002205 20256584384 25320730480 27852803528 34816004410 50641460960 55705607056 69632008820 101282921920 111411214112 139264017640 222822428224 278528035280 557056070560 1114112141120