Search a number
-
+
10022655213315 = 385349987317
BaseRepresentation
bin1001000111011001010011…
…0011011011111100000011
31022111011020002000100000000
42101312110303123330003
52303202344213311230
633152202204531043
72053053511442013
oct221662463337403
938434202010000
1010022655213315
11321464763a108
12115a55ab50a83
135791949683a4
14269155d09c43
15125aa3d48b60
hex91d94cdbf03

10022655213315 has 72 divisors (see below), whose sum is σ = 18045225198000. Its totient is φ = 5343827214528.

The previous prime is 10022655213313. The next prime is 10022655213317. The reversal of 10022655213315 is 51331255622001.

10022655213315 is a `hidden beast` number, since 10 + 0 + 2 + 265 + 52 + 1 + 331 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10022655213313) and next prime (10022655213317).

It is not a de Polignac number, because 10022655213315 - 21 = 10022655213313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10022655213315.

It is not an unprimeable number, because it can be changed into a prime (10022655213313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114741037 + ... + 114828353.

It is an arithmetic number, because the mean of its divisors is an integer number (250628127750).

Almost surely, 210022655213315 is an apocalyptic number.

10022655213315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10022655213315 is a deficient number, since it is larger than the sum of its proper divisors (8022569984685).

10022655213315 is an frugal number, since it uses more digits than its factorization.

10022655213315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90845 (or 90824 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10022655213315 in words is "ten trillion, twenty-two billion, six hundred fifty-five million, two hundred thirteen thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 2187 3499 3645 6561 10497 10935 17495 31491 32805 52485 87317 94473 157455 261951 283419 436585 472365 785853 850257 1309755 1417095 2357559 2550771 3929265 4251285 7072677 7652313 11787795 12753855 21218031 22956939 35363385 38261565 63654093 106090155 114784695 190962279 305522183 318270465 572886837 916566549 954811395 1527610915 2749699647 2864434185 4582832745 8249098941 13748498235 24747296823 41245494705 74241890469 123736484115 222725671407 371209452345 668177014221 1113628357035 2004531042663 3340885071105 10022655213315