Search a number
-
+
102020515320 = 233510310777141
BaseRepresentation
bin101111100000011100…
…1011000010111111000
3100202022222121011012110
41133000321120113320
53132414222442240
6114511221412320
710241110033503
oct1370071302770
9322288534173
10102020515320
113a2a2a15179
121793256a0a0
13980b2ba939
144d1b53a13a
1529c1800c80
hex17c0e585f8

102020515320 has 128 divisors (see below), whose sum is σ = 311925219840. Its totient is φ = 26689205760.

The previous prime is 102020515319. The next prime is 102020515321. The reversal of 102020515320 is 23515020201.

It is an interprime number because it is at equal distance from previous prime (102020515319) and next prime (102020515321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020515321) 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 31 ways as a sum of consecutive naturals, for example, 1283950 + ... + 1361090.

It is an arithmetic number, because the mean of its divisors is an integer number (2436915780).

Almost surely, 2102020515320 is an apocalyptic number.

102020515320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020515320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155962609920).

102020515320 is an abundant number, since it is smaller than the sum of its proper divisors (209904704520).

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

102020515320 is a wasteful number, since it uses less digits than its factorization.

102020515320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77365 (or 77361 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 102020515320 its reverse (23515020201), we get a palindrome (125535535521).

The spelling of 102020515320 in words is "one hundred two billion, twenty million, five hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 107 120 206 214 309 321 412 428 515 535 618 642 824 856 1030 1070 1236 1284 1545 1605 2060 2140 2472 2568 3090 3210 4120 4280 6180 6420 11021 12360 12840 22042 33063 44084 55105 66126 77141 88168 110210 132252 154282 165315 220420 231423 264504 308564 330630 385705 440840 462846 617128 661260 771410 925692 1157115 1322520 1542820 1851384 2314230 3085640 4628460 7945523 8254087 9256920 15891046 16508174 23836569 24762261 31782092 33016348 39727615 41270435 47673138 49524522 63564184 66032696 79455230 82540870 95346276 99049044 119182845 123811305 158910460 165081740 190692552 198098088 238365690 247622610 317820920 330163480 476731380 495245220 850170961 953462760 990490440 1700341922 2550512883 3400683844 4250854805 5101025766 6801367688 8501709610 10202051532 12752564415 17003419220 20404103064 25505128830 34006838440 51010257660 102020515320