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1145111000 = 235311195479
BaseRepresentation
bin100010001000001…
…0000000111011000
32221210201122222112
41010100100013120
54321122023000
6305343411452
740243166015
oct10420200730
92853648875
101145111000
11538426930
1227b5b3b88
13153316997
14ac12270c
156a7e7235
hex444101d8

1145111000 has 128 divisors (see below), whose sum is σ = 3077568000. Its totient is φ = 394416000.

The previous prime is 1145110991. The next prime is 1145111029. The reversal of 1145111000 is 1115411.

It is a super-2 number, since 2×11451110002 = 2622558404642000000, 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 31 ways as a sum of consecutive naturals, for example, 206261 + ... + 211739.

It is an arithmetic number, because the mean of its divisors is an integer number (24043500).

Almost surely, 21145111000 is an apocalyptic number.

1145111000 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 1145111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538784000).

1145111000 is an abundant number, since it is smaller than the sum of its proper divisors (1932457000).

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

1145111000 is a wasteful number, since it uses less digits than its factorization.

1145111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 14.

The square root of 1145111000 is about 33839.4887668239. The cubic root of 1145111000 is about 1046.2027618586.

Adding to 1145111000 its reverse (1115411), we get a palindrome (1146226411).

It can be divided in two parts, 114511 and 1000, that added together give a palindrome (115511).

The spelling of 1145111000 in words is "one billion, one hundred forty-five million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 550 760 836 950 1000 1045 1100 1375 1672 1900 2090 2200 2375 2750 3800 4180 4750 5225 5479 5500 8360 9500 10450 10958 11000 19000 20900 21916 26125 27395 41800 43832 52250 54790 60269 104101 104500 109580 120538 136975 208202 209000 219160 241076 273950 301345 416404 482152 520505 547900 602690 684875 832808 1041010 1095800 1145111 1205380 1369750 1506725 2082020 2290222 2410760 2602525 2739500 3013450 4164040 4580444 5205050 5479000 5725555 6026900 7533625 9160888 10410100 11451110 12053800 13012625 15067250 20820200 22902220 26025250 28627775 30134500 45804440 52050500 57255550 60269000 104101000 114511100 143138875 229022200 286277750 572555500 1145111000