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102003023100 = 223521131997097
BaseRepresentation
bin101111011111111011…
…0101001110011111100
3100202021202200110101110
41132333312221303330
53132400233214400
6114505354442020
710240505250666
oct1367766516374
9322252613343
10102003023100
113a294057aa0
1217928733310
1398077a4b04
144d190a5536
1529beee7e50
hex17bfda9cfc

102003023100 has 144 divisors (see below), whose sum is σ = 332344728576. Its totient is φ = 23930304000.

The previous prime is 102003023041. The next prime is 102003023107. The reversal of 102003023100 is 1320300201.

It is a happy number.

It is a super-2 number, since 2×1020030231002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003023107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396249 + ... + 600848.

It is an arithmetic number, because the mean of its divisors is an integer number (2307949504).

Almost surely, 2102003023100 is an apocalyptic number.

102003023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003023100 is an abundant number, since it is smaller than the sum of its proper divisors (230341705476).

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

102003023100 is a wasteful number, since it uses less digits than its factorization.

102003023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997156 (or 997149 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 102003023100 its reverse (1320300201), we get a palindrome (103323323301).

The spelling of 102003023100 in words is "one hundred two billion, three million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20460 25575 34100 51150 102300 997097 1994194 2991291 3988388 4985485 5982582 9970970 10968067 11965164 14956455 19941940 21936134 24927425 29912910 30910007 32904201 43872268 49854850 54840335 59825820 61820014 65808402 74782275 92730021 99709700 109680670 123640028 131616804 149564550 154550035 164521005 185460042 219361340 274201675 299129100 309100070 329042010 340010077 370920084 463650105 548403350 618200140 658084020 680020154 772750175 822605025 927300210 1020030231 1096806700 1360040308 1545500350 1645210050 1700050385 1854600420 2040060462 2318250525 3091000700 3290420100 3400100770 4080120924 4636501050 5100151155 6800201540 8500251925 9273002100 10200302310 17000503850 20400604620 25500755775 34001007700 51001511550 102003023100