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102010320 = 2433583569
BaseRepresentation
bin1100001010010…
…00110111010000
321002221122212000
412011020313100
5202103312240
614042234000
72346034116
oct605106720
9232848760
10102010320
1152644955
122a1b5900
1318198849
14d795ab6
158e50430
hex6148dd0

102010320 has 160 divisors (see below), whose sum is σ = 356227200. Its totient is φ = 26827776.

The previous prime is 102010309. The next prime is 102010331. The reversal of 102010320 is 23010201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102010309) and next prime (102010331).

It is a super-2 number, since 2×1020103202 = 20812210773004800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178996 + ... + 179564.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2102010320 is an apocalyptic number.

102010320 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 102010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

102010320 is an abundant number, since it is smaller than the sum of its proper divisors (254216880).

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

102010320 is a wasteful number, since it uses less digits than its factorization.

102010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102010320 is about 10100.0158415717. The cubic root of 102010320 is about 467.2486299618.

Adding to 102010320 its reverse (23010201), we get a palindrome (125020521).

The spelling of 102010320 in words is "one hundred two million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 83 90 108 120 135 144 166 180 216 240 249 270 332 360 415 432 498 540 569 664 720 747 830 996 1080 1138 1245 1328 1494 1660 1707 1992 2160 2241 2276 2490 2845 2988 3320 3414 3735 3984 4482 4552 4980 5121 5690 5976 6640 6828 7470 8535 8964 9104 9960 10242 11205 11380 11952 13656 14940 15363 17070 17928 19920 20484 22410 22760 25605 27312 29880 30726 34140 35856 40968 44820 45520 47227 51210 59760 61452 68280 76815 81936 89640 94454 102420 122904 136560 141681 153630 179280 188908 204840 236135 245808 283362 307260 377816 409680 425043 472270 566724 614520 708405 755632 850086 944540 1133448 1229040 1275129 1416810 1700172 1889080 2125215 2266896 2550258 2833620 3400344 3778160 4250430 5100516 5667240 6375645 6800688 8500860 10201032 11334480 12751290 17001720 20402064 25502580 34003440 51005160 102010320