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1114011510120 = 23345635354121
BaseRepresentation
bin10000001101100000010…
…000101010010101101000
310221111110101012020020000
4100031200100222111220
5121222443421310440
62211434140503000
7143325146412165
oct20154020522550
93844411166200
101114011510120
1139a4a4500a23
1215baa024aa60
13810878b7172
143bcc02d906c
151dea0b09730
hex1036042a568

1114011510120 has 160 divisors (see below), whose sum is σ = 3744975037320. Its totient is φ = 297017487360.

The previous prime is 1114011510113. The next prime is 1114011510133. The reversal of 1114011510120 is 210151104111.

1114011510120 is a `hidden beast` number, since 1 + 1 + 140 + 1 + 1 + 510 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 459106525476 + 654904984644 = 677574^2 + 809262^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1114011510093 and 1114011510102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20556660 + ... + 20610780.

Almost surely, 21114011510120 is an apocalyptic number.

1114011510120 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 1114011510120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872487518660).

1114011510120 is an abundant number, since it is smaller than the sum of its proper divisors (2630963527200).

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

1114011510120 is a wasteful number, since it uses less digits than its factorization.

1114011510120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60497 (or 60484 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 18.

Adding to 1114011510120 its reverse (210151104111), we get a palindrome (1324162614231).

The spelling of 1114011510120 in words is "one trillion, one hundred fourteen billion, eleven million, five hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6353 12706 19059 25412 31765 38118 50824 54121 57177 63530 76236 95295 108242 114354 127060 152472 162363 171531 190590 216484 228708 254120 270605 285885 324726 343062 381180 432968 457416 487089 514593 541210 571770 649452 686124 762360 811815 857655 974178 1029186 1082420 1143540 1298904 1372248 1461267 1623630 1715310 1948356 2058372 2164840 2287080 2435445 2572965 2922534 3247260 3430620 3896712 4116744 4383801 4870890 5145930 5845068 6494520 6861240 7306335 8767602 9741780 10291860 11690136 14612670 17535204 19483560 20583720 21919005 29225340 35070408 43838010 58450680 87676020 175352040 343830713 687661426 1031492139 1375322852 1719153565 2062984278 2750645704 3094476417 3438307130 4125968556 5157460695 6188952834 6876614260 8251937112 9283429251 10314921390 12377905668 13753228520 15472382085 18566858502 20629842780 24755811336 27850287753 30944764170 37133717004 41259685560 46417146255 55700575506 61889528340 74267434008 92834292510 111401151012 123779056680 139251438765 185668585020 222802302024 278502877530 371337170040 557005755060 1114011510120