Search a number
-
+
1031101213100 = 2252721911075201
BaseRepresentation
bin11110000000100100110…
…10111110100110101100
310122120110012211202020112
433000102122332212230
5113343143402304400
62105403101235152
7134331435462500
oct17002232764654
93576405752215
101031101213100
113683188326a2
12147a01862ab8
137630384780a
1437c96c28300
151bc4bdb5835
hexf0126be9ac

1031101213100 has 108 divisors (see below), whose sum is σ = 2739783470760. Its totient is φ = 334914048000.

The previous prime is 1031101213049. The next prime is 1031101213117. The reversal of 1031101213100 is 13121011301.

It is a happy number.

1031101213100 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 2×10311012131002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5444501 + ... + 5630700.

It is an arithmetic number, because the mean of its divisors is an integer number (25368365470).

Almost surely, 21031101213100 is an apocalyptic number.

1031101213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031101213100 is an abundant number, since it is smaller than the sum of its proper divisors (1708682257660).

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

1031101213100 is a wasteful number, since it uses less digits than its factorization.

1031101213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075248 (or 11075234 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1031101213100 its reverse (13121011301), we get a palindrome (1044222224401).

The spelling of 1031101213100 in words is "one trillion, thirty-one billion, one hundred one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 49 50 70 76 95 98 100 133 140 175 190 196 245 266 350 380 475 490 532 665 700 931 950 980 1225 1330 1862 1900 2450 2660 3325 3724 4655 4900 6650 9310 13300 18620 23275 46550 93100 11075201 22150402 44300804 55376005 77526407 110752010 155052814 210428819 221504020 276880025 310105628 387632035 420857638 542684849 553760050 775264070 841715276 1052144095 1085369698 1107520100 1473001733 1550528140 1938160175 2104288190 2170739396 2713424245 2946003466 3876320350 4208576380 5260720475 5426848490 5892006932 7365008665 7752640700 10311012131 10521440950 10853696980 13567121225 14730017330 20622024262 21042881900 27134242450 29460034660 36825043325 41244048524 51555060655 54268484900 73650086650 103110121310 147300173300 206220242620 257775303275 515550606550 1031101213100