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1300213123119 = 33237140972101
BaseRepresentation
bin10010111010111010101…
…111011100100000101111
311121022002002101020012000
4102322322233130200233
5132300314024414434
62433150515343343
7162636331123521
oct22727257344057
94538062336160
101300213123119
114614654587a9
1218bba68b1b53
13957c02c79b1
1446d059c5a11
1523c4c9c2b99
hex12ebabdc82f

1300213123119 has 64 divisors (see below), whose sum is σ = 2043312998400. Its totient is φ = 815433696000.

The previous prime is 1300213123109. The next prime is 1300213123123. The reversal of 1300213123119 is 9113213120031.

1300213123119 is a `hidden beast` number, since 1 + 30 + 0 + 2 + 1 + 312 + 311 + 9 = 666.

It is not a de Polignac number, because 1300213123119 - 213 = 1300213114927 is a prime.

It is a super-2 number, since 2×13002131231192 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1300213123092 and 1300213123101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300213123109) 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, 17997169 + ... + 18069269.

It is an arithmetic number, because the mean of its divisors is an integer number (31926765600).

Almost surely, 21300213123119 is an apocalyptic number.

1300213123119 is a deficient number, since it is larger than the sum of its proper divisors (743099875281).

1300213123119 is a wasteful number, since it uses less digits than its factorization.

1300213123119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72613 (or 72607 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 1300213123119 in words is "one trillion, three hundred billion, two hundred thirteen million, one hundred twenty-three thousand, one hundred nineteen".

Divisors: 1 3 9 23 27 69 71 207 213 409 621 639 1227 1633 1917 3681 4899 9407 11043 14697 28221 29039 44091 72101 84663 87117 216303 253989 261351 648909 667897 784053 1658323 1946727 2003691 4974969 5119171 6011073 14924907 15357513 18033219 29489309 44774721 46072539 88467927 117740933 138217617 265403781 353222799 678254107 796211343 1059668397 2034762321 2093740939 3179005191 6104286963 6281222817 18312860889 18843668451 48156041597 56531005353 144468124791 433404374373 1300213123119