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1121204340 = 2232537792131
BaseRepresentation
bin100001011010100…
…0011100001110100
32220010202002012200
41002311003201310
54244012014330
6303131144500
736533036214
oct10265034164
92803662180
101121204340
11525988463
122735a5130
1314b396329
14a8c9c244
1568673a60
hex42d43874

1121204340 has 144 divisors (see below), whose sum is σ = 3538778880. Its totient is φ = 287089920.

The previous prime is 1121204309. The next prime is 1121204389. The reversal of 1121204340 is 434021211.

1121204340 is a `hidden beast` number, since 1 + 121 + 204 + 340 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525075 + ... + 527205.

Almost surely, 21121204340 is an apocalyptic number.

1121204340 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 1121204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769389440).

1121204340 is an abundant number, since it is smaller than the sum of its proper divisors (2417574540).

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

1121204340 is a wasteful number, since it uses less digits than its factorization.

1121204340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2257 counting only the distinct ones).

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

The square root of 1121204340 is about 33484.3894971970. The cubic root of 1121204340 is about 1038.8709208586.

Adding to 1121204340 its reverse (434021211), we get a palindrome (1555225551).

The spelling of 1121204340 in words is "one billion, one hundred twenty-one million, two hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 79 90 111 148 158 180 185 222 237 316 333 370 395 444 474 555 666 711 740 790 948 1110 1185 1332 1422 1580 1665 2131 2220 2370 2844 2923 3330 3555 4262 4740 5846 6393 6660 7110 8524 8769 10655 11692 12786 14220 14615 17538 19179 21310 25572 26307 29230 31965 35076 38358 42620 43845 52614 58460 63930 76716 78847 87690 95895 105228 127860 131535 157694 168349 175380 191790 236541 263070 315388 336698 383580 394235 473082 505047 526140 673396 709623 788470 841745 946164 1010094 1182705 1419246 1515141 1576940 1683490 2020188 2365410 2525235 2838492 3030282 3366980 3548115 4730820 5050470 6060564 6228913 7096230 7575705 10100940 12457826 14192460 15151410 18686739 24915652 30302820 31144565 37373478 56060217 62289130 74746956 93433695 112120434 124578260 186867390 224240868 280301085 373734780 560602170 1121204340