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10202130300012 = 22371313112981123
BaseRepresentation
bin1001010001110101111001…
…0110100011110001101100
31100010022111000001101120020
42110131132112203301230
52314122430324100022
633410443254522140
72102036204503440
oct224353626436154
940108430041506
1010202130300012
113283776649142
1211892a8966350
13590097913c41
14273b00106820
1512a5aa41735c
hex9475e5a3c6c

10202130300012 has 96 divisors (see below), whose sum is σ = 27501512822784. Its totient is φ = 2883341198400.

The previous prime is 10202130299983. The next prime is 10202130300017. The reversal of 10202130300012 is 21000303120201.

It is a super-2 number, since 2×102021303000122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202130299964 and 10202130300000.

It is not an unprimeable number, because it can be changed into a prime (10202130300017) by changing a digit.

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, 1931683 + ... + 4912805.

It is an arithmetic number, because the mean of its divisors is an integer number (286474091904).

Almost surely, 210202130300012 is an apocalyptic number.

10202130300012 is a gapful number since it is divisible by the number (12) 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 10202130300012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13750756411392).

10202130300012 is an abundant number, since it is smaller than the sum of its proper divisors (17299382522772).

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

10202130300012 is a wasteful number, since it uses less digits than its factorization.

10202130300012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981579 (or 2981577 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10202130300012 its reverse (21000303120201), we get a palindrome (31202433420213).

The spelling of 10202130300012 in words is "ten trillion, two hundred two billion, one hundred thirty million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 311 393 524 622 786 917 933 1244 1572 1834 1866 2177 2751 3668 3732 4354 5502 6531 8708 11004 13062 26124 40741 81482 122223 162964 244446 285187 488892 570374 855561 1140748 1711122 2981123 3422244 5962246 8943369 11924492 17886738 20867861 35773476 41735722 62603583 83471444 125207166 250414332 390527113 781054226 927129253 1171581339 1562108452 1854258506 2343162678 2733689791 2781387759 3708517012 4686325356 5467379582 5562775518 6489904771 8201069373 10934759164 11125551036 12979809542 16402138746 19469714313 25959619084 32804277492 38939428626 77878857252 121453932143 242907864286 364361796429 485815728572 728723592858 850177525001 1457447185716 1700355050002 2550532575003 3400710100004 5101065150006 10202130300012