Search a number
-
+
1020011130120 = 233525013339827
BaseRepresentation
bin11101101011111010110…
…01101010110100001000
310121111211022220011101110
432311331121222310020
5113202440322130440
62100330414250320
7133456553360163
oct16657531526410
93544738804343
101020011130120
11363647767164
121458277b69a0
137525706c538
1437523dc8ada
151b7ed480080
hexed7d66ad08

1020011130120 has 64 divisors (see below), whose sum is σ = 3060164733120. Its totient is φ = 271991293184.

The previous prime is 1020011130077. The next prime is 1020011130169. The reversal of 1020011130120 is 210311100201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1020011130096 and 1020011130105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2831647 + ... + 3171473.

It is an arithmetic number, because the mean of its divisors is an integer number (47815073955).

Almost surely, 21020011130120 is an apocalyptic number.

1020011130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020011130120 is an abundant number, since it is smaller than the sum of its proper divisors (2040153603000).

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

1020011130120 is a wasteful number, since it uses less digits than its factorization.

1020011130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364854 (or 364850 counting only the distinct ones).

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

Adding to 1020011130120 its reverse (210311100201), we get a palindrome (1230322230321).

The spelling of 1020011130120 in words is "one trillion, twenty billion, eleven million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 25013 50026 75039 100052 125065 150078 200104 250130 300156 339827 375195 500260 600312 679654 750390 1000520 1019481 1359308 1500780 1699135 2038962 2718616 3001560 3398270 4077924 5097405 6796540 8155848 10194810 13593080 20389620 40779240 8500092751 17000185502 25500278253 34000371004 42500463755 51000556506 68000742008 85000927510 102001113012 127501391265 170001855020 204002226024 255002782530 340003710040 510005565060 1020011130120