Search a number
-
+
10031122130310 = 2325193157719789
BaseRepresentation
bin1001000111111000110101…
…1110001010010110000110
31022111222002011000021121100
42101332031132022112012
52303322214231132220
633200122304200530
72053503362160141
oct221761536122606
938458064007540
1010031122130310
1132181a1a28176
121160122609146
13579c13b4c248
1426971a5d7058
15125dec324d90
hex91f8d78a586

10031122130310 has 48 divisors (see below), whose sum is σ = 26094424421520. Its totient is φ = 2673580580160.

The previous prime is 10031122130221. The next prime is 10031122130333. The reversal of 10031122130310 is 1303122113001.

10031122130310 is a `hidden beast` number, since 10 + 0 + 311 + 2 + 2 + 1 + 30 + 310 = 666.

10031122130310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100311221303102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28686105 + ... + 29033684.

It is an arithmetic number, because the mean of its divisors is an integer number (543633842115).

Almost surely, 210031122130310 is an apocalyptic number.

10031122130310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10031122130310 is an abundant number, since it is smaller than the sum of its proper divisors (16063302291210).

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

10031122130310 is a wasteful number, since it uses less digits than its factorization.

10031122130310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57721733 (or 57721730 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10031122130310 its reverse (1303122113001), we get a palindrome (11334244243311).

The spelling of 10031122130310 in words is "ten trillion, thirty-one billion, one hundred twenty-two million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1931 3862 5793 9655 11586 17379 19310 28965 34758 57930 86895 173790 57719789 115439578 173159367 288598945 346318734 519478101 577197890 865796835 1038956202 1731593670 2597390505 5194781010 111456912559 222913825118 334370737677 557284562795 668741475354 1003112213031 1114569125590 1671853688385 2006224426062 3343707376770 5015561065155 10031122130310