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1300123132031 = 23298959936563
BaseRepresentation
bin10010111010110101011…
…000001010000001111111
311121021211211001012121202
4102322311120022001333
5132300123010211111
62433133542450115
7162634156166033
oct22726530120177
94537754035552
101300123132031
114614196830a9
1218bb8073393b
13957a7779b29
1446cd7a7c1c3
1523c44b48b3b
hex12eb560a07f

1300123132031 has 32 divisors (see below), whose sum is σ = 1421608320000. Its totient is φ = 1185207831808.

The previous prime is 1300123132027. The next prime is 1300123132037. The reversal of 1300123132031 is 1302313210031.

It is not a de Polignac number, because 1300123132031 - 22 = 1300123132027 is a prime.

It is a super-2 number, since 2×13001231320312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1300123131994 and 1300123132012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300123132037) 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, 35540156 + ... + 35576718.

It is an arithmetic number, because the mean of its divisors is an integer number (44425260000).

Almost surely, 21300123132031 is an apocalyptic number.

1300123132031 is a deficient number, since it is larger than the sum of its proper divisors (121485187969).

1300123132031 is a wasteful number, since it uses less digits than its factorization.

1300123132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37303.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1300123132031 its reverse (1302313210031), we get a palindrome (2602436342062).

The spelling of 1300123132031 in words is "one trillion, three hundred billion, one hundred twenty-three million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 23 29 89 599 667 2047 2581 13777 17371 36563 53311 59363 399533 840949 1060327 1226153 1546019 3254107 21901237 24387521 35558437 74844461 94369103 503728451 635135873 1949210093 2170489369 14608125079 44831832139 56527092697 1300123132031