Search a number
-
+
130233115000 = 2354223271431
BaseRepresentation
bin111100101001001111…
…1111010000101111000
3110110011011120201021201
41321102133322011320
54113204134140000
6135454523343544
712260204132632
oct1712237720570
9413134521251
10130233115000
115026021a95a
12212a6981bb4
13c3862848c1
14643642ba52
1535c355e96a
hex1e527fa178

130233115000 has 160 divisors (see below), whose sum is σ = 308349296640. Its totient is φ = 51548400000.

The previous prime is 130233114967. The next prime is 130233115021. The reversal of 130233115000 is 511332031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 302164785 + ... + 302165215.

It is an arithmetic number, because the mean of its divisors is an integer number (1927183104).

Almost surely, 2130233115000 is an apocalyptic number.

130233115000 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 130233115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154174648320).

130233115000 is an abundant number, since it is smaller than the sum of its proper divisors (178116181640).

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

130233115000 is a wasteful number, since it uses less digits than its factorization.

130233115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

Adding to 130233115000 its reverse (511332031), we get a palindrome (130744447031).

The spelling of 130233115000 in words is "one hundred thirty billion, two hundred thirty-three million, one hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 223 250 271 431 446 500 542 625 862 892 1000 1084 1115 1250 1355 1724 1784 2155 2168 2230 2500 2710 3448 4310 4460 5000 5420 5575 6775 8620 8920 10775 10840 11150 13550 17240 21550 22300 27100 27875 33875 43100 44600 53875 54200 55750 60433 67750 86200 96113 107750 111500 116801 120866 135500 139375 169375 192226 215500 223000 233602 241732 269375 271000 278750 302165 338750 384452 431000 467204 480565 483464 538750 557500 584005 604330 677500 768904 934408 961130 1077500 1115000 1168010 1208660 1355000 1510825 1922260 2155000 2336020 2402825 2417320 2920025 3021650 3844520 4672040 4805650 5840050 6043300 7554125 9611300 11680100 12014125 12086600 14600125 15108250 19222600 23360200 24028250 26046623 29200250 30216500 37770625 48056500 52093246 58400500 60070625 60433000 73000625 75541250 96113000 104186492 116801000 120141250 130233115 146001250 151082500 208372984 240282500 260466230 292002500 302165000 480565000 520932460 584005000 651165575 1041864920 1302331150 2604662300 3255827875 5209324600 6511655750 13023311500 16279139375 26046623000 32558278750 65116557500 130233115000