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10200020000001 = 313261747936803
BaseRepresentation
bin1001010001101110000010…
…0100011001110100000001
31100010010000221011001011120
42110123200210121310001
52314104120110000001
633405454031502453
72101633001320326
oct224334044316401
940103027131146
1010200020000001
113282893415547
1211889ba087a29
1358cb1c65ab00
1427397db38b4d
1512a4d5018236
hex946e0919d01

10200020000001 has 48 divisors (see below), whose sum is σ = 14755770461376. Its totient is φ = 6264533603328.

The previous prime is 10200019999951. The next prime is 10200020000039. The reversal of 10200020000001 is 10000002000201.

It is a happy number.

It is not a de Polignac number, because 10200020000001 - 29 = 10200019999489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10200020000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1499338066 + ... + 1499344868.

It is an arithmetic number, because the mean of its divisors is an integer number (307411884612).

Almost surely, 210200020000001 is an apocalyptic number.

It is an amenable number.

10200020000001 is a deficient number, since it is larger than the sum of its proper divisors (4555750461375).

10200020000001 is a wasteful number, since it uses less digits than its factorization.

10200020000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12242 (or 12229 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10200020000001 its reverse (10000002000201), we get a palindrome (20200022000202).

The spelling of 10200020000001 in words is "ten trillion, two hundred billion, twenty million, one", and thus it is an aban number.

Divisors: 1 3 13 39 169 507 617 1851 4793 6803 8021 14379 20409 24063 62309 88439 104273 186927 265317 312819 810017 1149707 2430051 2957281 3449121 4197451 8871843 12592353 32606779 38444653 54566863 97820337 115333959 163700589 423888127 499780489 709369219 1271664381 1499341467 2128107657 5510545651 16531636953 20118382643 60355147929 261538974359 784616923077 3400006666667 10200020000001