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1201124340 = 22325133713873
BaseRepresentation
bin100011110010111…
…1011001111110100
310002201010102211200
41013211323033310
54424441434330
6315104132500
741523250143
oct10745731764
93081112750
101201124340
11567004549
12296307130
13161ac9180
14b574375a
15706ada60
hex4797b3f4

1201124340 has 144 divisors (see below), whose sum is σ = 4030008528. Its totient is φ = 287649792.

The previous prime is 1201124329. The next prime is 1201124359. The reversal of 1201124340 is 434211021.

1201124340 is a `hidden beast` number, since 1 + 201 + 124 + 340 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3825936 + 1197298404 = 1956^2 + 34602^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79644 + ... + 93516.

Almost surely, 21201124340 is an apocalyptic number.

1201124340 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 1201124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015004264).

1201124340 is an abundant number, since it is smaller than the sum of its proper divisors (2828884188).

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

1201124340 is a wasteful number, since it uses less digits than its factorization.

1201124340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13938 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1201124340 is about 34657.2408018873. The cubic root of 1201124340 is about 1062.9903515651.

Adding to 1201124340 its reverse (434211021), we get a palindrome (1635335361).

The spelling of 1201124340 in words is "one billion, two hundred one million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 666 740 780 962 1110 1170 1332 1443 1665 1924 2220 2340 2405 2886 3330 4329 4810 5772 6660 7215 8658 9620 13873 14430 17316 21645 27746 28860 41619 43290 55492 69365 83238 86580 124857 138730 166476 180349 208095 249714 277460 360698 416190 499428 513301 541047 624285 721396 832380 901745 1026602 1082094 1248570 1539903 1623141 1803490 2053204 2164188 2497140 2566505 2705235 3079806 3246282 3606980 4619709 5133010 5410470 6159612 6492564 6672913 7699515 8115705 9239418 10266020 10820940 13345826 15399030 16231410 18478836 20018739 23098545 26691652 30798060 32462820 33364565 40037478 46197090 60056217 66729130 80074956 92394180 100093695 120112434 133458260 200187390 240224868 300281085 400374780 600562170 1201124340