Search a number
-
+
10331110011012 = 2237547760329573
BaseRepresentation
bin1001011001010110011000…
…1001000111000010000100
31100120122101211010120210120
42112111212021013002010
52323231103130323022
633550014005421540
72114253352115340
oct226254611070204
940518354116716
1010331110011012
1133234432a701a
1211aa2a3a0a8b0
1359c2b12c676b
1427a057ca2620
1512db088dcd5c
hex96566247084

10331110011012 has 96 divisors (see below), whose sum is σ = 27604555195392. Its totient is φ = 2945862331776.

The previous prime is 10331110010927. The next prime is 10331110011049. The reversal of 10331110011012 is 21011001113301.

It is a super-2 number, since 2×103311100110122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10331110010982 and 10331110011000.

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 31 ways as a sum of consecutive naturals, for example, 349327858 + ... + 349357430.

It is an arithmetic number, because the mean of its divisors is an integer number (287547449952).

Almost surely, 210331110011012 is an apocalyptic number.

10331110011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10331110011012 is an abundant number, since it is smaller than the sum of its proper divisors (17273445184380).

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

10331110011012 is a wasteful number, since it uses less digits than its factorization.

10331110011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37737 (or 37735 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10331110011012 its reverse (21011001113301), we get a palindrome (31342111124313).

The spelling of 10331110011012 in words is "ten trillion, three hundred thirty-one billion, one hundred ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 547 1094 1641 2188 3282 3829 6564 7603 7658 11487 15206 15316 22809 22974 29573 30412 45618 45948 53221 59146 88719 91236 106442 118292 159663 177438 207011 212884 319326 354876 414022 621033 638652 828044 1242066 2484132 4158841 8317682 12476523 16176431 16635364 24953046 29111887 32352862 48529293 49906092 58223774 64705724 87335661 97058586 113235017 116447548 174671322 194117172 224843519 226470034 339705051 349342644 449687038 452940068 674530557 679410102 899374076 1349061114 1358820204 1573904633 2698122228 3147809266 4721713899 6295618532 9443427798 18886855596 122989404893 245978809786 368968214679 491957619572 737936429358 860925834251 1475872858716 1721851668502 2582777502753 3443703337004 5165555005506 10331110011012