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102323000032300 = 225217131493193179
BaseRepresentation
bin10111010000111111101110…
…000100011011110000101100
3111102021222112210201002220001
4113100333232010123300230
5101402430001002013200
61001342312015234044
730360410220465505
oct2720775604336054
9442258483632801
10102323000032300
112a66aa38a65a13
12b586a71818924
13451302c5a9988
141b3a6612ddbac
15bc69c927576a
hex5d0fee11bc2c

102323000032300 has 144 divisors (see below), whose sum is σ = 236947398145920. Its totient is φ = 38219379328000.

The previous prime is 102323000032219. The next prime is 102323000032343. The reversal of 102323000032300 is 3230000323201.

It is a happy number.

It is a super-2 number, since 2×1023230000323002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1098087111 + ... + 1098180289.

It is an arithmetic number, because the mean of its divisors is an integer number (1645468042680).

Almost surely, 2102323000032300 is an apocalyptic number.

102323000032300 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 102323000032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118473699072960).

102323000032300 is an abundant number, since it is smaller than the sum of its proper divisors (134624398113620).

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

102323000032300 is a wasteful number, since it uses less digits than its factorization.

102323000032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98272 (or 98265 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 102323000032300 its reverse (3230000323201), we get a palindrome (105553000355501).

The spelling of 102323000032300 in words is "one hundred two trillion, three hundred twenty-three billion, thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 131 170 262 340 425 524 655 850 1310 1700 2227 2620 3275 4454 4931 6550 8908 9862 11135 13100 19724 22270 24655 44540 49310 55675 83827 93179 98620 111350 123275 167654 186358 222700 246550 335308 372716 419135 465895 493100 645961 838270 931790 1291922 1584043 1676540 1863580 2095675 2329475 2583844 3168086 3229805 4191350 4658950 6336172 6459610 7920215 8382700 9317900 10981337 12206449 12919220 15840430 16149025 21962674 24412898 31680860 32298050 39601075 43925348 48825796 54906685 61032245 64596100 79202150 109813370 122064490 158404300 207509633 219626740 244128980 274533425 305161225 415019266 459465649 549066850 610322450 830038532 918931298 1037548165 1098133700 1220644900 1837862596 2075096330 2297328245 4150192660 4594656490 5187740825 7810916033 9189312980 10375481650 11486641225 15621832066 20750963300 22973282450 31243664132 39054580165 45946564900 60190000019 78109160330 120380000038 156218320660 195272900825 240760000076 300950000095 390545801650 601900000190 781091603300 1023230000323 1203800000380 1504750000475 2046460000646 3009500000950 4092920001292 5116150001615 6019000001900 10232300003230 20464600006460 25580750008075 51161500016150 102323000032300