Search a number
-
+
1202112021100 = 2252137264733149
BaseRepresentation
bin10001011111100011011…
…101011100001001101100
311020220212020211220021011
4101133203131130021230
5124143411134133400
62320124224315004
7152564312404654
oct21374335341154
94226766756234
101202112021100
114238a3995881
12174b88a72a64
1389488024333
144227ac23364
152140a3298ba
hex117e375c26c

1202112021100 has 72 divisors (see below), whose sum is σ = 2628695815200. Its totient is φ = 477140267520.

The previous prime is 1202112021013. The next prime is 1202112021101. The reversal of 1202112021100 is 11202112021.

It is a super-2 number, since 2×12021120211002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1202112021101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36247326 + ... + 36280474.

It is an arithmetic number, because the mean of its divisors is an integer number (36509664100).

Almost surely, 21202112021100 is an apocalyptic number.

1202112021100 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 1202112021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314347907600).

1202112021100 is an abundant number, since it is smaller than the sum of its proper divisors (1426583794100).

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

1202112021100 is a wasteful number, since it uses less digits than its factorization.

1202112021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35947 (or 35940 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1202112021100 its reverse (11202112021), we get a palindrome (1213314133121).

The spelling of 1202112021100 in words is "one trillion, two hundred two billion, one hundred twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2647 2740 3425 5294 6850 10588 13235 13700 26470 33149 52940 66175 66298 132350 132596 165745 264700 331490 362639 662980 725278 828725 1450556 1657450 1813195 3314900 3626390 4541413 7252780 9065975 9082826 18131950 18165652 22707065 36263900 45414130 87745403 90828260 113535325 175490806 227070650 350981612 438727015 454141300 877454030 1754908060 2193635075 4387270150 8774540300 12021120211 24042240422 48084480844 60105601055 120211202110 240422404220 300528005275 601056010550 1202112021100