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1121132000 = 25532411163
BaseRepresentation
bin100001011010011…
…0001110111100000
32220010121101222102
41002310301313200
54244002211000
6303125425532
736532315262
oct10264616740
92803541872
101121132000
1152593907a
1227356b2a8
1314b36c421
14a8c7db32
156865c3d5
hex42d31de0

1121132000 has 96 divisors (see below), whose sum is σ = 2768429664. Its totient is φ = 446208000.

The previous prime is 1121131981. The next prime is 1121132027. The reversal of 1121132000 is 2311211.

It is a super-2 number, since 2×11211320002 = 2513873922848000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963419 + ... + 964581.

It is an arithmetic number, because the mean of its divisors is an integer number (28837809).

Almost surely, 21121132000 is an apocalyptic number.

1121132000 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 1121132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384214832).

1121132000 is an abundant number, since it is smaller than the sum of its proper divisors (1647297664).

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

1121132000 is a wasteful number, since it uses less digits than its factorization.

1121132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1121132000 is about 33483.3092749208. The cubic root of 1121132000 is about 1038.8485777596.

Adding to 1121132000 its reverse (2311211), we get a palindrome (1123443211).

The spelling of 1121132000 in words is "one billion, one hundred twenty-one million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 241 250 400 482 500 800 964 1000 1163 1205 1928 2000 2326 2410 3856 4000 4652 4820 5815 6025 7712 9304 9640 11630 12050 18608 19280 23260 24100 29075 30125 37216 38560 46520 48200 58150 60250 93040 96400 116300 120500 145375 186080 192800 232600 241000 280283 290750 465200 482000 560566 581500 930400 964000 1121132 1163000 1401415 2242264 2326000 2802830 4484528 4652000 5605660 7007075 8969056 11211320 14014150 22422640 28028300 35035375 44845280 56056600 70070750 112113200 140141500 224226400 280283000 560566000 1121132000