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1201100012010 = 234511231320427
BaseRepresentation
bin10001011110100111001…
…000111011100111101010
311020211020201120111210000
4101132213020323213222
5124134323100341020
62315435553403430
7152530243436103
oct21364710734752
94224221514700
101201100012010
1142342470a428
12174945b69576
1389356470ca2
14421c266b3aa
152139b575090
hex117a723b9ea

1201100012010 has 80 divisors (see below), whose sum is σ = 3232502814816. Its totient is φ = 320007881952.

The previous prime is 1201100012009. The next prime is 1201100012039. The reversal of 1201100012010 is 102100011021.

It is a happy number.

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 = 1201100011983 and 1201100012001.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 249417 + ... + 1569843.

Almost surely, 21201100012010 is an apocalyptic number.

1201100012010 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 1201100012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616251407408).

1201100012010 is an abundant number, since it is smaller than the sum of its proper divisors (2031402802806).

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

1201100012010 is a wasteful number, since it uses less digits than its factorization.

1201100012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321569 (or 1321560 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1201100012010 its reverse (102100011021), we get a palindrome (1303200023031).

The spelling of 1201100012010 in words is "one trillion, two hundred one billion, one hundred million, twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1123 2246 3369 5615 6738 10107 11230 16845 20214 30321 33690 50535 60642 90963 101070 151605 181926 303210 454815 909630 1320427 2640854 3961281 6602135 7922562 11883843 13204270 19806405 23767686 35651529 39612810 59419215 71303058 106954587 118838430 178257645 213909174 356515290 534772935 1069545870 1482839521 2965679042 4448518563 7414197605 8897037126 13345555689 14828395210 22242592815 26691111378 40036667067 44485185630 66727778445 80073334134 120110001201 133455556890 200183335335 240220002402 400366670670 600550006005 1201100012010