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1031010130000 = 2454127811819
BaseRepresentation
bin11110000000011001111…
…11100001100001010000
310122120012212110020201101
433000030333201201100
5113343002043130000
62105350045114144
7134326251336214
oct17001477414120
93576185406641
101031010130000
11368281381604
12147997258954
13762baa068a6
1437c88ab8944
151bc43dc2e6a
hexf00cfe1850

1031010130000 has 100 divisors (see below), whose sum is σ = 2515836674560. Its totient is φ = 409156272000.

The previous prime is 1031010129997. The next prime is 1031010130057. The reversal of 1031010130000 is 310101301.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×10310101300003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 864091 + ... + 1675909.

Almost surely, 21031010130000 is an apocalyptic number.

1031010130000 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 1031010130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257918337280).

1031010130000 is an abundant number, since it is smaller than the sum of its proper divisors (1484826544560).

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

1031010130000 is an equidigital number, since it uses as much as digits as its factorization.

1031010130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811974 (or 811953 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 1031010130000 its reverse (310101301), we get a palindrome (1031320231301).

The spelling of 1031010130000 in words is "one trillion, thirty-one billion, ten million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 127 200 250 254 400 500 508 625 635 1000 1016 1250 1270 2000 2032 2500 2540 3175 5000 5080 6350 10000 10160 12700 15875 25400 31750 50800 63500 79375 127000 158750 254000 317500 635000 811819 1270000 1623638 3247276 4059095 6494552 8118190 12989104 16236380 20295475 32472760 40590950 64945520 81181900 101477375 103101013 162363800 202954750 206202026 324727600 405909500 412404052 507386875 515505065 811819000 824808104 1014773750 1031010130 1623638000 1649616208 2029547500 2062020260 2577525325 4059095000 4124040520 5155050650 8118190000 8248081040 10310101300 12887626625 20620202600 25775253250 41240405200 51550506500 64438133125 103101013000 128876266250 206202026000 257752532500 515505065000 1031010130000