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1120403230224 = 243671499232411
BaseRepresentation
bin10000010011011101001…
…111001000111000010000
310222002221211100020212020
4100103131033020320100
5121324041211331344
62214412305331440
7143642431215525
oct20233517107020
93862854306766
101120403230224
113a2184461933
12161184936b80
1381865b85875
143c32915514c
151e226d1c719
hex104dd3c8e10

1120403230224 has 80 divisors (see below), whose sum is σ = 2939546976000. Its totient is φ = 367646590080.

The previous prime is 1120403230223. The next prime is 1120403230253. The reversal of 1120403230224 is 4220323040211.

It is a happy number.

It is a super-3 number, since 3×11204032302243 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1120403230194 and 1120403230203.

It is not an unprimeable number, because it can be changed into a prime (1120403230223) 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 15 ways as a sum of consecutive naturals, for example, 4704579 + ... + 4936989.

It is an arithmetic number, because the mean of its divisors is an integer number (36744337200).

Almost surely, 21120403230224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120403230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469773488000).

1120403230224 is an abundant number, since it is smaller than the sum of its proper divisors (1819143745776).

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

1120403230224 is a wasteful number, since it uses less digits than its factorization.

1120403230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233988 (or 233982 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1120403230224 its reverse (4220323040211), we get a palindrome (5340726270435).

The spelling of 1120403230224 in words is "one trillion, one hundred twenty billion, four hundred three million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1499 1608 2998 3216 4497 5996 8994 11992 17988 23984 35976 71952 100433 200866 232411 301299 401732 464822 602598 697233 803464 929644 1205196 1394466 1606928 1859288 2410392 2788932 3718576 4820784 5577864 11155728 15571537 31143074 46714611 62286148 93429222 124572296 186858444 249144592 348384089 373716888 696768178 747433776 1045152267 1393536356 2090304534 2787072712 4180609068 5574145424 8361218136 16722436272 23341733963 46683467926 70025201889 93366935852 140050403778 186733871704 280100807556 373467743408 560201615112 1120403230224