Search a number
-
+
1130131331000 = 23537186186753
BaseRepresentation
bin10000011100100001000…
…100111001011110111000
311000001001210110222100222
4100130201010321132320
5122004002110043000
62223101500315212
7144435464546420
oct20344104713670
94001053428328
101130131331000
113a6316745a41
1216303a842b08
1382756433909
143c9ad13b480
151e5e5dbca85
hex107211397b8

1130131331000 has 128 divisors (see below), whose sum is σ = 3023952946560. Its totient is φ = 387260928000.

The previous prime is 1130131330969. The next prime is 1130131331003. The reversal of 1130131331000 is 1331310311.

It is a super-2 number, since 2×11301313310002 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1130131331000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130131331003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12983624 + ... + 13070376.

It is an arithmetic number, because the mean of its divisors is an integer number (23624632395).

Almost surely, 21130131331000 is an apocalyptic number.

1130131331000 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 1130131331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511976473280).

1130131331000 is an abundant number, since it is smaller than the sum of its proper divisors (1893821615560).

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

1130131331000 is a wasteful number, since it uses less digits than its factorization.

1130131331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88642 (or 88628 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1130131331000 its reverse (1331310311), we get a palindrome (1131462641311).

The spelling of 1130131331000 in words is "one trillion, one hundred thirty billion, one hundred thirty-one million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 1861 3500 3722 7000 7444 9305 13027 14888 18610 26054 37220 46525 52108 65135 74440 86753 93050 104216 130270 173506 186100 232625 260540 325675 347012 372200 433765 465250 521080 607271 651350 694024 867530 930500 1214542 1302700 1628375 1735060 1861000 2168825 2429084 2605400 3036355 3256750 3470120 4337650 4858168 6072710 6513500 8675300 10844125 12145420 13027000 15181775 17350600 21688250 24290840 30363550 43376500 60727100 75908875 86753000 121454200 151817750 161447333 303635500 322894666 607271000 645789332 807236665 1130131331 1291578664 1614473330 2260262662 3228946660 4036183325 4520525324 5650656655 6457893320 8072366650 9041050648 11301313310 16144733300 20180916625 22602626620 28253283275 32289466600 40361833250 45205253240 56506566550 80723666500 113013133100 141266416375 161447333000 226026266200 282532832750 565065665500 1130131331000