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103011211023311 = 4797277463176179
BaseRepresentation
bin10111011011000000101010…
…101001000001001111001111
3111111201202221102002210112102
4113123000222221001033033
5102000213430010221221
61003030410321225315
730461212560420443
oct2733005251011717
9444652842083472
10103011211023311
112a90589a142678
12b67831a19223b
134562bb9517046
141b61aaaa2a823
15bd985838830b
hex5db02aa413cf

103011211023311 has 32 divisors (see below), whose sum is σ = 106902212874240. Its totient is φ = 99204597144576.

The previous prime is 103011211023277. The next prime is 103011211023317. The reversal of 103011211023311 is 113320112110301.

It is a cyclic number.

It is not a de Polignac number, because 103011211023311 - 246 = 32642466845647 is a prime.

It is a super-2 number, since 2×1030112110233112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011211023317) 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 31 ways as a sum of consecutive naturals, for example, 584608220 + ... + 584784398.

It is an arithmetic number, because the mean of its divisors is an integer number (3340694152320).

Almost surely, 2103011211023311 is an apocalyptic number.

103011211023311 is a deficient number, since it is larger than the sum of its proper divisors (3891001850929).

103011211023311 is a wasteful number, since it uses less digits than its factorization.

103011211023311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177063.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 103011211023311 its reverse (113320112110301), we get a palindrome (216331323133612).

The spelling of 103011211023311 in words is "one hundred three trillion, eleven billion, two hundred eleven million, twenty-three thousand, three hundred eleven".

Divisors: 1 47 97 277 463 4559 13019 21761 26869 44911 128251 176179 1262843 2110817 6027797 8280413 12440347 17089363 48801583 81570877 584696309 803200061 2293674401 3833831219 4733753551 7912375069 22595132929 222486416897 371881628243 1061971247663 2191727894113 103011211023311