Search a number
-
+
1120101123012 = 2236179131147859
BaseRepresentation
bin10000010011001011001…
…110101100001111000100
310222002011202212121200020
4100103023032230033010
5121322431341414022
62214322314215140
7143632102311504
oct20231316541704
93862152777606
101120101123012
113a2039979253
121610bb7244b0
13818183ca8c1
143c2dad93a04
151e20a54435c
hex104cb3ac3c4

1120101123012 has 96 divisors (see below), whose sum is σ = 2710593177600. Its totient is φ = 359827228800.

The previous prime is 1120101123007. The next prime is 1120101123013. The reversal of 1120101123012 is 2103211010211.

It is a junction number, because it is equal to n+sod(n) for n = 1120101122982 and 1120101123000.

It is not an unprimeable number, because it can be changed into a prime (1120101123013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7501539 + ... + 7649397.

It is an arithmetic number, because the mean of its divisors is an integer number (28235345600).

Almost surely, 21120101123012 is an apocalyptic number.

1120101123012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1120101123012 is an abundant number, since it is smaller than the sum of its proper divisors (1590492054588).

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

1120101123012 is a wasteful number, since it uses less digits than its factorization.

1120101123012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148137 (or 148135 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1120101123012 its reverse (2103211010211), we get a palindrome (3223312133223).

The spelling of 1120101123012 in words is "one trillion, one hundred twenty billion, one hundred one million, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 61 79 122 131 158 183 237 244 262 316 366 393 474 524 732 786 948 1572 4819 7991 9638 10349 14457 15982 19276 20698 23973 28914 31047 31964 41396 47946 57828 62094 95892 124188 147859 295718 443577 591436 631289 887154 1262578 1774308 1893867 2525156 3787734 7575468 9019399 11680861 18038798 19369529 23361722 27058197 35042583 36077596 38739058 46723444 54116394 58108587 70085166 77478116 108232788 116217174 140170332 232434348 712532521 1181541269 1425065042 1530192791 2137597563 2363082538 2850130084 3060385582 3544623807 4275195126 4590578373 4726165076 6120771164 7089247614 8550390252 9181156746 14178495228 18362313492 93341760251 186683520502 280025280753 373367041004 560050561506 1120101123012