Search a number
-
+
12315501270402 = 2311232653540181
BaseRepresentation
bin1011001100110110110100…
…0101000001010110000010
31121121100110110101020221120
42303031231011001112002
53103234121311123102
642105355125133110
72410523413402131
oct263155505012602
947540413336846
1012315501270402
113a18a7a447a80
12146a9b055a196
136b4467b75935
1430810574b918
1516554b40d6bc
hexb336d141582

12315501270402 has 96 divisors (see below), whose sum is σ = 28132315557696. Its totient is φ = 3564237283200.

The previous prime is 12315501270367. The next prime is 12315501270403. The reversal of 12315501270402 is 20407210551321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12315501270403) 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 47 ways as a sum of consecutive naturals, for example, 22528752 + ... + 23068932.

It is an arithmetic number, because the mean of its divisors is an integer number (293044953726).

Almost surely, 212315501270402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12315501270402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14066157778848).

12315501270402 is an abundant number, since it is smaller than the sum of its proper divisors (15816814287294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12315501270402 is a wasteful number, since it uses less digits than its factorization.

12315501270402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540896 (or 540873 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 12315501270402 in words is "twelve trillion, three hundred fifteen billion, five hundred one million, two hundred seventy thousand, four hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 653 759 1058 1306 1518 1587 1959 3174 3918 5819 7183 11638 14366 15019 17457 21549 30038 34914 43098 45057 90114 165209 330418 345437 495627 540181 690874 991254 1036311 1080362 1620543 2072622 3241086 3799807 5941991 7599614 11399421 11883982 12424163 17825973 22798842 24848326 35651946 37272489 74544978 136665793 273331586 285755749 352738193 409997379 571511498 705476386 819994758 857267247 1058214579 1714534494 2116429158 3143313239 3880120123 6286626478 7760240246 8112978439 9429939717 11640360369 16225956878 18859879434 23280720738 24338935317 48677870634 89242762829 178485525658 186598504097 267728288487 373197008194 535456576974 559795512291 1119591024582 2052583545067 4105167090134 6157750635201 12315501270402