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1201111100010 = 23251091131083517
BaseRepresentation
bin10001011110100111110…
…011001110101001101010
311020211021111102211122200
4101132213303032221222
5124134333420200020
62315441031201030
7152530436616453
oct21364763165152
94224244384580
101201111100010
1142342a9a2a68
12174949816176
1389358853b33
14421c3d1612a
152139c515590
hex117a7ccea6a

1201111100010 has 96 divisors (see below), whose sum is σ = 3179431878480. Its totient is φ = 314549028864.

The previous prime is 1201111099999. The next prime is 1201111100017. The reversal of 1201111100010 is 100011111021.

It can be written as a sum of positive squares in 8 ways, for example, as 361683162801 + 839427937209 = 601401^2 + 916203^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1201111099965 and 1201111100001.

It is not an unprimeable number, because it can be changed into a prime (1201111100017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566772 + ... + 1650288.

Almost surely, 21201111100010 is an apocalyptic number.

1201111100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201111100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589715939240).

1201111100010 is an abundant number, since it is smaller than the sum of its proper divisors (1978320778470).

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

1201111100010 is a wasteful number, since it uses less digits than its factorization.

1201111100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083752 (or 1083749 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1201111100010 its reverse (100011111021), we get a palindrome (1301122211031).

The spelling of 1201111100010 in words is "one trillion, two hundred one billion, one hundred eleven million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 113 218 226 327 339 545 565 654 678 981 1017 1090 1130 1635 1695 1962 2034 3270 3390 4905 5085 9810 10170 12317 24634 36951 61585 73902 110853 123170 184755 221706 369510 554265 1083517 1108530 2167034 3250551 5417585 6501102 9751653 10835170 16252755 19503306 32505510 48758265 97516530 118103353 122437421 236206706 244874842 354310059 367312263 590516765 612187105 708620118 734624526 1062930177 1101936789 1181033530 1224374210 1771550295 1836561315 2125860354 2203873578 3543100590 3673122630 5314650885 5509683945 10629301770 11019367890 13345678889 26691357778 40037036667 66728394445 80074073334 120111110001 133456788890 200185183335 240222220002 400370366670 600555550005 1201111100010