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1110023031120 = 243559250331319
BaseRepresentation
bin10000001001110010100…
…001110100100101010000
310221010011102011111121120
4100021302201310211100
5121141311343443440
62205534301522240
7143124256041423
oct20116241644520
93833142144546
101110023031120
11398838076693
1215b168573380
13808a049a713
143ba227039ba
151dd1a8acdd0
hex10272874950

1110023031120 has 160 divisors (see below), whose sum is σ = 3500904499200. Its totient is φ = 290863544832.

The previous prime is 1110023031079. The next prime is 1110023031133. The reversal of 1110023031120 is 211303200111.

It is a happy number.

It is a super-2 number, since 2×11100230311202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1110023031120.

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, 35426821 + ... + 35458139.

It is an arithmetic number, because the mean of its divisors is an integer number (21880653120).

Almost surely, 21110023031120 is an apocalyptic number.

1110023031120 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 1110023031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750452249600).

1110023031120 is an abundant number, since it is smaller than the sum of its proper divisors (2390881468080).

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

1110023031120 is a wasteful number, since it uses less digits than its factorization.

1110023031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33897 (or 33891 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1110023031120 its reverse (211303200111), we get a palindrome (1321326231231).

The spelling of 1110023031120 in words is "one trillion, one hundred ten billion, twenty-three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2503 2832 3540 4720 5006 7080 7509 10012 12515 14160 15018 20024 25030 30036 31319 37545 40048 50060 60072 62638 75090 93957 100120 120144 125276 147677 150180 156595 187914 200240 250552 295354 300360 313190 375828 443031 469785 501104 590708 600720 626380 738385 751656 886062 939570 1181416 1252760 1476770 1503312 1772124 1847821 1879140 2215155 2362832 2505520 2953540 3544248 3695642 3758280 4430310 5543463 5907080 7088496 7391284 7516560 8860620 9239105 11086926 11814160 14782568 17721240 18478210 22173852 27717315 29565136 35442480 36956420 44347704 55434630 73912840 78391457 88695408 110869260 147825680 156782914 221738520 235174371 313565828 391957285 443477040 470348742 627131656 783914570 940697484 1175871855 1254263312 1567829140 1881394968 2351743710 3135658280 3762789936 4625095963 4703487420 6271316560 9250191926 9406974840 13875287889 18500383852 18813949680 23125479815 27750575778 37000767704 46250959630 55501151556 69376439445 74001535408 92501919260 111002303112 138752878890 185003838520 222004606224 277505757780 370007677040 555011515560 1110023031120