Search a number
-
+
102320243213016 = 233197101603212999
BaseRepresentation
bin10111010000111101001001…
…110000000000001011011000
3111102021201102200021011210010
4113100331021300000023120
5101402403324230304031
61001341134255121520
730360252004063503
oct2720751160001330
9442251380234703
10102320243213016
112a6698538a0874
12b5864225132a0
1345129b03bac6a
141b3a47d11a13a
15bc68b721a246
hex5d0f49c002d8

102320243213016 has 64 divisors (see below), whose sum is σ = 257102825760000. Its totient is φ = 33933123744128.

The previous prime is 102320243213011. The next prime is 102320243213059. The reversal of 102320243213016 is 610312342023201.

It is a super-2 number, since 2×1023202432130162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320243213011) 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 15 ways as a sum of consecutive naturals, for example, 480272485 + ... + 480485483.

It is an arithmetic number, because the mean of its divisors is an integer number (4017231652500).

Almost surely, 2102320243213016 is an apocalyptic number.

It is an amenable number.

102320243213016 is an abundant number, since it is smaller than the sum of its proper divisors (154782582546984).

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

102320243213016 is a wasteful number, since it uses less digits than its factorization.

102320243213016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314808 (or 314804 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 102320243213016 its reverse (610312342023201), we get a palindrome (712632585236217).

The spelling of 102320243213016 in words is "one hundred two trillion, three hundred twenty billion, two hundred forty-three million, two hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 197 394 591 788 1182 1576 2364 4728 101603 203206 212999 304809 406412 425998 609618 638997 812824 851996 1219236 1277994 1703992 2438472 2555988 5111976 20015791 40031582 41960803 60047373 80063164 83921606 120094746 125882409 160126328 167843212 240189492 251764818 335686424 480378984 503529636 1007059272 21641337397 43282674794 64924012191 86565349588 129848024382 173130699176 259696048764 519392097528 4263343467209 8526686934418 12790030401627 17053373868836 25580060803254 34106747737672 51160121606508 102320243213016