Search a number
-
+
1310101131000 = 233531698125717
BaseRepresentation
bin10011000100001000000…
…111001100111011111000
311122020121012102002000010
4103010020013030323320
5132431041342143000
62441504021541520
7163436345606034
oct23041007147370
94566535362003
101310101131000
11465679a30442
12191aa62748a0
1396707a3312c
14475a2d151c4
152412ab0cd50
hex131081ccef8

1310101131000 has 128 divisors (see below), whose sum is σ = 4087915191360. Its totient is φ = 349326144000.

The previous prime is 1310101130983. The next prime is 1310101131011. The reversal of 1310101131000 is 1311010131.

It is a super-2 number, since 2×13101011310002 (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, 50930142 + ... + 50955858.

Almost surely, 21310101131000 is an apocalyptic number.

1310101131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310101131000 is an abundant number, since it is smaller than the sum of its proper divisors (2777814060360).

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

1310101131000 is a wasteful number, since it uses less digits than its factorization.

1310101131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42722 (or 42708 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1310101131000 its reverse (1311010131), we get a palindrome (1311412141131).

The spelling of 1310101131000 in words is "one trillion, three hundred ten billion, one hundred one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 16981 25717 33962 50943 51434 67924 77151 84905 101886 102868 128585 135848 154302 169810 203772 205736 254715 257170 308604 339620 385755 407544 424525 509430 514340 617208 642925 679240 771510 849050 1018860 1028680 1273575 1285850 1543020 1698100 1928775 2037720 2122625 2547150 2571700 3086040 3214625 3396200 3857550 4245250 5094300 5143400 6367875 6429250 7715100 8490500 9643875 10188600 12735750 12858500 15430200 16981000 19287750 25471500 25717000 38575500 50943000 77151000 436700377 873400754 1310101131 1746801508 2183501885 2620202262 3493603016 4367003770 5240404524 6550505655 8734007540 10480809048 10917509425 13101011310 17468015080 21835018850 26202022620 32752528275 43670037700 52404045240 54587547125 65505056550 87340075400 109175094250 131010113100 163762641375 218350188500 262020226200 327525282750 436700377000 655050565500 1310101131000