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1013220103311 = 331310128580861
BaseRepresentation
bin11101011111010001001…
…11111101010010001111
310120212022001101020221000
432233220213331102033
5113100033321301221
62053244503111343
7133126352530203
oct16575047752217
93525261336830
101013220103311
11360782374209
12144451442553
1374714142c90
143707c108b03
151b552193e26
hexebe89fd48f

1013220103311 has 32 divisors (see below), whose sum is σ = 1632538837440. Its totient is φ = 617346576000.

The previous prime is 1013220103307. The next prime is 1013220103349. The reversal of 1013220103311 is 1133010223101.

1013220103311 is a `hidden beast` number, since 1 + 0 + 1 + 322 + 0 + 10 + 331 + 1 = 666.

It is not a de Polignac number, because 1013220103311 - 22 = 1013220103307 is a prime.

It is a super-2 number, since 2×10132201033112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013220103711) 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, 14254980 + ... + 14325881.

It is an arithmetic number, because the mean of its divisors is an integer number (51016838670).

Almost surely, 21013220103311 is an apocalyptic number.

1013220103311 is a deficient number, since it is larger than the sum of its proper divisors (619318734129).

1013220103311 is a wasteful number, since it uses less digits than its factorization.

1013220103311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28580984 (or 28580978 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1013220103311 its reverse (1133010223101), we get a palindrome (2146230326412).

The spelling of 1013220103311 in words is "one trillion, thirteen billion, two hundred twenty million, one hundred three thousand, three hundred eleven".

Divisors: 1 3 9 13 27 39 101 117 303 351 909 1313 2727 3939 11817 35451 28580861 85742583 257227749 371551193 771683247 1114653579 2886666961 3343960737 8660000883 10031882211 25980002649 37526670493 77940007947 112580011479 337740034437 1013220103311