Search a number
-
+
1201003131000 = 233531723549081
BaseRepresentation
bin10001011110100001010…
…111010111000001111000
311020210222222021110000110
4101132201113113001320
5124134123300143000
62315422213104320
7152524656114141
oct21364127270170
94223888243013
101201003131000
11423384a59282
121749196280a0
138933c38004a
14421b384cac8
1521392cd9850
hex117a15d7078

1201003131000 has 128 divisors (see below), whose sum is σ = 3967549335360. Its totient is φ = 301428224000.

The previous prime is 1201003130993. The next prime is 1201003131011. The reversal of 1201003131000 is 1313001021.

It is a super-2 number, since 2×12010031310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 11723541 + ... + 11825540.

Almost surely, 21201003131000 is an apocalyptic number.

1201003131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201003131000 is an abundant number, since it is smaller than the sum of its proper divisors (2766546204360).

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

1201003131000 is a wasteful number, since it uses less digits than its factorization.

1201003131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23549122 (or 23549108 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1201003131000 its reverse (1313001021), we get a palindrome (1202316132021).

The spelling of 1201003131000 in words is "one trillion, two hundred one billion, three million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 23549081 47098162 70647243 94196324 117745405 141294486 188392648 235490810 282588972 353236215 400334377 470981620 565177944 588727025 706472430 800668754 941963240 1177454050 1201003131 1412944860 1601337508 1766181075 2001671885 2354908100 2402006262 2825889720 2943635125 3202675016 3532362150 4003343770 4709816200 4804012524 5887270250 6005015655 7064724300 8006687540 8830905375 9608025048 10008359425 11774540500 12010031310 14129448600 16013375080 17661810750 20016718850 23549081000 24020062620 30025078275 35323621500 40033437700 48040125240 50041797125 60050156550 70647243000 80066875400 100083594250 120100313100 150125391375 200167188500 240200626200 300250782750 400334377000 600501565500 1201003131000