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1132102000 = 245329131149
BaseRepresentation
bin100001101111010…
…1000000101110000
32220220020201222201
41003132220011300
54304304231000
6304200512544
740024464631
oct10336500560
92826221881
101132102000
11531050a97
1227717b754
13150710653
14aa4d7888
15695c796a
hex437a8170

1132102000 has 160 divisors (see below), whose sum is σ = 2872584000. Its totient is φ = 430976000.

The previous prime is 1132101991. The next prime is 1132102007. The reversal of 1132102000 is 2012311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132102007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7597926 + ... + 7598074.

It is an arithmetic number, because the mean of its divisors is an integer number (17953650).

Almost surely, 21132102000 is an apocalyptic number.

1132102000 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 1132102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436292000).

1132102000 is an abundant number, since it is smaller than the sum of its proper divisors (1740482000).

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

1132102000 is a wasteful number, since it uses less digits than its factorization.

1132102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1132102000 is about 33646.7234660375. The cubic root of 1132102000 is about 1042.2258785815.

Adding to 1132102000 its reverse (2012311), we get a palindrome (1134114311).

The spelling of 1132102000 in words is "one billion, one hundred thirty-two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 131 145 149 200 232 250 262 290 298 400 464 500 524 580 596 655 725 745 1000 1048 1160 1192 1310 1450 1490 2000 2096 2320 2384 2620 2900 2980 3275 3625 3725 3799 4321 5240 5800 5960 6550 7250 7450 7598 8642 10480 11600 11920 13100 14500 14900 15196 16375 17284 18625 18995 19519 21605 26200 29000 29800 30392 32750 34568 37250 37990 39038 43210 52400 58000 59600 60784 65500 69136 74500 75980 78076 86420 94975 97595 108025 131000 149000 151960 156152 172840 189950 195190 216050 262000 298000 303920 312304 345680 379900 390380 432100 474875 487975 540125 566051 759800 780760 864200 949750 975950 1080250 1132102 1519600 1561520 1728400 1899500 1951900 2160500 2264204 2439875 2830255 3799000 3903800 4321000 4528408 4879750 5660510 7598000 7807600 8642000 9056816 9759500 11321020 14151275 19519000 22642040 28302550 39038000 45284080 56605100 70756375 113210200 141512750 226420400 283025500 566051000 1132102000