Search a number
-
+
1011030131100 = 2235211863355009
BaseRepresentation
bin11101011011001100001…
…01111000000110011100
310120122122102120010211010
432231212011320012130
5113031042203143400
62052243312255220
7133021161214443
oct16554605700634
93518572503733
101011030131100
1135a859173720
12143b3bb41510
1374455512a32
1436d1131bd5a
151b474ca8450
hexeb6617819c

1011030131100 has 144 divisors (see below), whose sum is σ = 3194885514240. Its totient is φ = 244813516800.

The previous prime is 1011030131081. The next prime is 1011030131129. The reversal of 1011030131100 is 11310301101.

1011030131100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 2670396 + ... + 3025404.

It is an arithmetic number, because the mean of its divisors is an integer number (22186704960).

Almost surely, 21011030131100 is an apocalyptic number.

1011030131100 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 1011030131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597442757120).

1011030131100 is an abundant number, since it is smaller than the sum of its proper divisors (2183855383140).

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

1011030131100 is a wasteful number, since it uses less digits than its factorization.

1011030131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355900 (or 355893 counting only the distinct ones).

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

Adding to 1011030131100 its reverse (11310301101), we get a palindrome (1022340432201).

The spelling of 1011030131100 in words is "one trillion, eleven billion, thirty million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 863 1100 1650 1726 2589 3300 3452 4315 5178 8630 9493 10356 12945 17260 18986 21575 25890 28479 37972 43150 47465 51780 56958 64725 86300 94930 113916 129450 142395 189860 237325 258900 284790 355009 474650 569580 710018 711975 949300 1065027 1420036 1423950 1775045 2130054 2847900 3550090 3905099 4260108 5325135 7100180 7810198 8875225 10650270 11715297 15620396 17750450 19525495 21300540 23430594 26625675 35500900 39050990 46861188 53251350 58576485 78101980 97627475 106502700 117152970 195254950 234305940 292882425 306372767 390509900 585764850 612745534 919118301 1171529700 1225491068 1531863835 1838236602 3063727670 3370100437 3676473204 4595591505 6127455340 6740200874 7659319175 9191183010 10110301311 13480401748 15318638350 16850502185 18382366020 20220602622 22977957525 30637276700 33701004370 40441205244 45955915050 50551506555 67402008740 84252510925 91911830100 101103013110 168505021850 202206026220 252757532775 337010043700 505515065550 1011030131100