Search a number
-
+
1121200112100 = 2235233717896199
BaseRepresentation
bin10000010100001100101…
…111000000000111100100
310222012000100211001021210
4100110030233000013210
5121332204212041400
62215023333311420
7144001245464355
oct20241457000744
93865010731253
101121200112100
113a2553262aa2
12161367795570
1381961cb63c3
143c3a2d0bd2c
151e271c7a950
hex1050cbc01e4

1121200112100 has 144 divisors (see below), whose sum is σ = 3255975632000. Its totient is φ = 297884805120.

The previous prime is 1121200112069. The next prime is 1121200112113. The reversal of 1121200112100 is 12110021211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180864801 + ... + 180870999.

Almost surely, 21121200112100 is an apocalyptic number.

1121200112100 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 1121200112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627987816000).

1121200112100 is an abundant number, since it is smaller than the sum of its proper divisors (2134775519900).

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

1121200112100 is a wasteful number, since it uses less digits than its factorization.

1121200112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8342 (or 8335 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1121200112100 its reverse (12110021211), we get a palindrome (1133310133311).

The spelling of 1121200112100 in words is "one trillion, one hundred twenty-one billion, two hundred million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 337 674 1011 1348 1685 1789 2022 3370 3578 4044 5055 5367 6199 6740 7156 8425 8945 10110 10734 12398 16850 17890 18597 20220 21468 24796 25275 26835 30995 33700 35780 37194 44725 50550 53670 61990 74388 89450 92985 101100 107340 123980 134175 154975 178900 185970 268350 309950 371940 464925 536700 602893 619900 929850 1205786 1808679 1859700 2089063 2411572 3014465 3617358 4178126 6028930 6267189 7234716 8356252 9043395 10445315 11090011 12057860 12534378 15072325 18086790 20890630 22180022 25068756 30144650 31335945 33270033 36173580 41781260 44360044 45216975 52226575 55450055 60289300 62671890 66540066 90433950 104453150 110900110 125343780 133080132 156679725 166350165 180867900 208906300 221800220 277250275 313359450 332700330 554500550 626718900 665400660 831750825 1109001100 1663501650 3327003300 3737333707 7474667414 11212001121 14949334828 18686668535 22424002242 37373337070 44848004484 56060005605 74746674140 93433342675 112120011210 186866685350 224240022420 280300028025 373733370700 560600056050 1121200112100