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1323102323103 = 311223245715077
BaseRepresentation
bin10011010000001111000…
…010110100000110011111
311200111011021110001201120
4103100033002310012133
5133134203143314403
62451454054342023
7164406465120141
oct23201702640637
94614137401646
101323102323103
1147014084a500
1219451435a913
13979ca431602
14480778b0c91
152463c1e7e53
hex1340f0b419f

1323102323103 has 72 divisors (see below), whose sum is σ = 2031636377904. Its totient is φ = 765286705920.

The previous prime is 1323102323029. The next prime is 1323102323117. The reversal of 1323102323103 is 3013232013231.

It is not a de Polignac number, because 1323102323103 - 210 = 1323102322079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323102323203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87748801 + ... + 87763877.

Almost surely, 21323102323103 is an apocalyptic number.

1323102323103 is a deficient number, since it is larger than the sum of its proper divisors (708534054801).

1323102323103 is a wasteful number, since it uses less digits than its factorization.

1323102323103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15605 (or 15571 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1323102323103 its reverse (3013232013231), we get a palindrome (4336334336334).

It can be divided in two parts, 1323102 and 323103, that added together give a triangular number (1646205 = T1814).

The spelling of 1323102323103 in words is "one trillion, three hundred twenty-three billion, one hundred two million, three hundred twenty-three thousand, one hundred three".

Divisors: 1 3 11 23 33 69 121 253 363 457 529 759 1371 1587 2783 5027 5819 8349 10511 15077 15081 17457 31533 45231 55297 64009 115621 165847 165891 192027 241753 346771 346863 497541 725259 1040313 1271831 1824317 2659283 3814481 3815493 5472951 6890189 7975733 7977849 11443443 20670567 23927199 29252113 41959291 75792079 87733063 87756339 125877873 158474347 227376237 263199189 475423041 833712869 965063693 1743217817 2501138607 2895191079 3644909981 5229653451 10934729943 19175395987 40094009791 57526187961 120282029373 441034107701 1323102323103