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102203043321340 = 2251319719311033337
BaseRepresentation
bin10111001111010000000000…
…000101111001010111111100
3111101212111220210222210210101
4113033100000011321113330
5101343443313042240330
61001211232510450444
730345632455330303
oct2717200005712774
9441774823883711
10102203043321340
112a624081588565
12b567774503a24
13450492336b230
141b34921a2543a
15bc3807ec14ca
hex5cf4001795fc

102203043321340 has 96 divisors (see below), whose sum is σ = 232429923278784. Its totient is φ = 37525472839680.

The previous prime is 102203043321289. The next prime is 102203043321359. The reversal of 102203043321340 is 43123340302201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102203043321299 and 102203043321308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98389152 + ... + 99422488.

It is an arithmetic number, because the mean of its divisors is an integer number (2421145034154).

Almost surely, 2102203043321340 is an apocalyptic number.

102203043321340 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 102203043321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116214961639392).

102203043321340 is an abundant number, since it is smaller than the sum of its proper divisors (130226879957444).

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

102203043321340 is a wasteful number, since it uses less digits than its factorization.

102203043321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035487 (or 1035485 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 102203043321340 its reverse (43123340302201), we get a palindrome (145326383623541).

The spelling of 102203043321340 in words is "one hundred two trillion, two hundred three billion, forty-three million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 985 1931 1970 2561 3862 3940 5122 7724 9655 10244 12805 19310 25103 25610 38620 50206 51220 100412 125515 251030 380407 502060 760814 1033337 1521628 1902035 2066674 3804070 4133348 4945291 5166685 7608140 9890582 10333370 13433381 19781164 20666740 24726455 26866762 49452910 53733524 67166905 98905820 134333810 203567389 268667620 407134778 814269556 1017836945 1995373747 2035673890 2646376057 3990747494 4071347780 5292752114 7981494988 9976868735 10585504228 13231880285 19953737470 25939858711 26463760570 39907474940 51879717422 52927521140 103759434844 129699293555 259398587110 393088628159 518797174220 786177256318 1572354512636 1965443140795 3930886281590 5110152166067 7861772563180 10220304332134 20440608664268 25550760830335 51101521660670 102203043321340