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1121342000 = 245319231283
BaseRepresentation
bin100001011010110…
…0101001000110000
32220011000002001012
41002311211020300
54244030421000
6303134130052
736534151442
oct10265451060
92804002035
101121342000
11525a71929
12273650928
1314b413b9c
14a8cd6492
156869e735
hex42d65230

1121342000 has 160 divisors (see below), whose sum is σ = 2980523520. Its totient is φ = 406137600.

The previous prime is 1121341999. The next prime is 1121342011. The reversal of 1121342000 is 2431211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873359 + ... + 874641.

It is an arithmetic number, because the mean of its divisors is an integer number (18628272).

Almost surely, 21121342000 is an apocalyptic number.

1121342000 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 1121342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490261760).

1121342000 is an abundant number, since it is smaller than the sum of its proper divisors (1859181520).

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

1121342000 is a wasteful number, since it uses less digits than its factorization.

1121342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1121342000 is about 33486.4450188431. The cubic root of 1121342000 is about 1038.9134361888.

Adding to 1121342000 its reverse (2431211), we get a palindrome (1123773211).

The spelling of 1121342000 in words is "one billion, one hundred twenty-one million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 23 25 38 40 46 50 76 80 92 95 100 115 125 152 184 190 200 230 250 304 368 380 400 437 460 475 500 575 760 874 920 950 1000 1150 1283 1520 1748 1840 1900 2000 2185 2300 2375 2566 2875 3496 3800 4370 4600 4750 5132 5750 6415 6992 7600 8740 9200 9500 10264 10925 11500 12830 17480 19000 20528 21850 23000 24377 25660 29509 32075 34960 38000 43700 46000 48754 51320 54625 59018 64150 87400 97508 102640 109250 118036 121885 128300 147545 160375 174800 195016 218500 236072 243770 256600 295090 320750 390032 437000 472144 487540 513200 560671 590180 609425 641500 737725 874000 975080 1121342 1180360 1218850 1283000 1475450 1950160 2242684 2360720 2437700 2566000 2803355 2950900 3047125 3688625 4485368 4875400 5606710 5901800 6094250 7377250 8970736 9750800 11213420 11803600 12188500 14016775 14754500 22426840 24377000 28033550 29509000 44853680 48754000 56067100 59018000 70083875 112134200 140167750 224268400 280335500 560671000 1121342000