Search a number
-
+
1032130233000 = 233253114681137
BaseRepresentation
bin11110000010011111100…
…00011000001010101000
310122200002221010101011200
433001033300120022220
5113402300314424000
62110053140524200
7134366102140506
oct17011760301250
93580087111150
101032130233000
113687a6677569
1214804a3b0660
1376438aa5829
1437d5376b676
151bcac3ca500
hexf04fc182a8

1032130233000 has 96 divisors (see below), whose sum is σ = 3488600217960. Its totient is φ = 275234726400.

The previous prime is 1032130232929. The next prime is 1032130233031. The reversal of 1032130233000 is 3320312301.

1032130233000 is a `hidden beast` number, since 1 + 0 + 32 + 1 + 302 + 330 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164516227236 + 867614005764 = 405606^2 + 931458^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57331569 + ... + 57349568.

Almost surely, 21032130233000 is an apocalyptic number.

1032130233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032130233000 is an abundant number, since it is smaller than the sum of its proper divisors (2456469984960).

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

1032130233000 is a wasteful number, since it uses less digits than its factorization.

1032130233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114681164 (or 114681147 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1032130233000 its reverse (3320312301), we get a palindrome (1035450545301).

The spelling of 1032130233000 in words is "one trillion, thirty-two billion, one hundred thirty million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 114681137 229362274 344043411 458724548 573405685 688086822 917449096 1032130233 1146811370 1376173644 1720217055 2064260466 2293622740 2752347288 2867028425 3440434110 4128520932 4587245480 5160651165 5734056850 6880868220 8257041864 8601085275 10321302330 11468113700 13761736440 14335142125 17202170550 20642604660 22936227400 25803255825 28670284250 34404341100 41285209320 43005426375 51606511650 57340568500 68808682200 86010852750 103213023300 114681137000 129016279125 172021705500 206426046600 258032558250 344043411000 516065116500 1032130233000