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103320121201011 = 33111348757548843
BaseRepresentation
bin10111011111100000010111…
…000111110101000101110011
3111112211022021220002202021000
4113133200113013311011303
5102020244102011413021
61003424335230333043
730522426630541431
oct2737402707650563
9445738256082230
10103320121201011
112aa148a99602a0
12b70816b65a183
134586079306b40
141b72a13281d51
15be28d7dceb26
hex5df8171f5173

103320121201011 has 64 divisors (see below), whose sum is σ = 179830800253440. Its totient is φ = 57800175592320.

The previous prime is 103320121201001. The next prime is 103320121201061. The reversal of 103320121201011 is 110102121023301.

103320121201011 is a `hidden beast` number, since 1 + 0 + 332 + 0 + 121 + 201 + 0 + 11 = 666.

It is not a de Polignac number, because 103320121201011 - 226 = 103320054092147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103320121201001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187976356 + ... + 188525198.

It is an arithmetic number, because the mean of its divisors is an integer number (2809856253960).

Almost surely, 2103320121201011 is an apocalyptic number.

103320121201011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103320121201011 is a deficient number, since it is larger than the sum of its proper divisors (76510679052429).

103320121201011 is a wasteful number, since it uses less digits than its factorization.

103320121201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597633 (or 597627 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103320121201011 its reverse (110102121023301), we get a palindrome (213422242224312).

The spelling of 103320121201011 in words is "one hundred three trillion, three hundred twenty billion, one hundred twenty-one million, two hundred one thousand, eleven".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 429 1287 3861 48757 146271 438813 536327 548843 633841 1316439 1608981 1646529 1901523 4826943 4939587 5704569 6037273 6972251 7134959 14480829 14818761 17113707 18111819 20916753 21404877 54335457 62750259 64214631 78484549 163006371 188250777 192643893 235453647 706360941 2119082823 26759938151 80279814453 240839443359 294359319661 347879195963 722518330077 883077958983 1043637587889 2649233876949 3130912763667 3826671155593 7947701630847 9392738291001 11480013466779 34440040400337 103320121201011