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1301312112309 = 3211137289733119
BaseRepresentation
bin10010111011111100001…
…111110000011010110101
311121101220200022122221100
4102323330033300122311
5132310041400043214
62433451534440313
7163005504306606
oct22737417603265
94541820278840
101301312112309
11461979842630
12190252963099
1395936bb3561
1446dab93ddad
1523cb4209309
hex12efc3f06b5

1301312112309 has 48 divisors (see below), whose sum is σ = 2066295329280. Its totient is φ = 782623380480.

The previous prime is 1301312112259. The next prime is 1301312112313. The reversal of 1301312112309 is 9032112131031.

1301312112309 is a `hidden beast` number, since 1 + 30 + 1 + 312 + 1 + 12 + 309 = 666.

It is not a de Polignac number, because 1301312112309 - 28 = 1301312112053 is a prime.

It is a super-2 number, since 2×13013121123092 (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 (1301312110309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39275452 + ... + 39308570.

It is an arithmetic number, because the mean of its divisors is an integer number (43047819360).

Almost surely, 21301312112309 is an apocalyptic number.

It is an amenable number.

1301312112309 is a deficient number, since it is larger than the sum of its proper divisors (764983216971).

1301312112309 is a wasteful number, since it uses less digits than its factorization.

1301312112309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36170 (or 36167 counting only the distinct ones).

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

The spelling of 1301312112309 in words is "one trillion, three hundred one billion, three hundred twelve million, one hundred twelve thousand, three hundred nine".

Divisors: 1 3 9 11 33 99 137 411 1233 1507 2897 4521 8691 13563 26073 31867 33119 95601 99357 286803 298071 364309 396889 1092927 1190667 3278781 3572001 4365779 4537303 13097337 13611909 39292011 40835727 49910333 95945743 149730999 287837229 449192997 863511687 1055403173 3166209519 9498628557 13144566791 39433700373 118301101119 144590234701 433770704103 1301312112309