Search a number
-
+
1112242234400 = 255211126391163
BaseRepresentation
bin10000001011110110110…
…011011010010000100000
310221022220001222201012122
4100023312303122100200
5121210333003000100
62210542415043412
7143233254001013
oct20136663322040
93838801881178
101112242234400
11399776821990
1215b687810568
1380b6519395b
143bb9333d37a
151ddea61e985
hex102f6cda420

1112242234400 has 72 divisors (see below), whose sum is σ = 2962103319504. Its totient is φ = 404451718400.

The previous prime is 1112242234349. The next prime is 1112242234409. The reversal of 1112242234400 is 44322422111.

It is a self number, because there is not a number n which added to its sum of digits gives 1112242234400.

It is not an unprimeable number, because it can be changed into a prime (1112242234409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63186782 + ... + 63204381.

It is an arithmetic number, because the mean of its divisors is an integer number (41140323882).

Almost surely, 21112242234400 is an apocalyptic number.

1112242234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112242234400 is an abundant number, since it is smaller than the sum of its proper divisors (1849861085104).

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

1112242234400 is a wasteful number, since it uses less digits than its factorization.

1112242234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126391194 (or 126391181 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1112242234400 its reverse (44322422111), we get a palindrome (1156564656511).

The spelling of 1112242234400 in words is "one trillion, one hundred twelve billion, two hundred forty-two million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 126391163 252782326 505564652 631955815 1011129304 1263911630 1390302793 2022258608 2527823260 2780605586 3159779075 4044517216 5055646520 5561211172 6319558150 6951513965 10111293040 11122422344 12639116300 13903027930 20222586080 22244844688 25278232600 27806055860 34757569825 44489689376 50556465200 55612111720 69515139650 101112930400 111224223440 139030279300 222448446880 278060558600 556121117200 1112242234400