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10021002930093 = 31973101137174049
BaseRepresentation
bin1001000111010011001001…
…0100011110011110101101
31022110222221220221122112010
42101310302110132132231
52303141003222230333
633151330222431433
72052664536324531
oct221646224363655
938428856848463
1010021002930093
1132139799a8291
12115a179732579
13578c90557bcc
1426903a6c5bc1
15125a08c6d563
hex91d3251e7ad

10021002930093 has 64 divisors (see below), whose sum is σ = 14503572576000. Its totient is φ = 6135400857600.

The previous prime is 10021002929953. The next prime is 10021002930097. The reversal of 10021002930093 is 39003920012001.

It is a happy number.

It is not a de Polignac number, because 10021002930093 - 214 = 10021002913709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021002930093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021002930097) 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 63 ways as a sum of consecutive naturals, for example, 57488733 + ... + 57662781.

It is an arithmetic number, because the mean of its divisors is an integer number (226618321500).

Almost surely, 210021002930093 is an apocalyptic number.

It is an amenable number.

10021002930093 is a deficient number, since it is larger than the sum of its proper divisors (4482569645907).

10021002930093 is a wasteful number, since it uses less digits than its factorization.

10021002930093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174382.

The product of its (nonzero) digits is 2916, while the sum is 30.

Adding to 10021002930093 its reverse (39003920012001), we get a palindrome (49024922942094).

The spelling of 10021002930093 in words is "ten trillion, twenty-one billion, two million, nine hundred thirty thousand, ninety-three".

Divisors: 1 3 19 57 73 101 137 219 303 411 1387 1919 2603 4161 5757 7373 7809 10001 13837 22119 30003 41511 140087 174049 190019 262903 420261 522147 570057 788709 1010101 3030303 3306931 9920793 12705577 17578949 19191919 23844713 38116731 52736847 57575757 71534139 241405963 334000031 453049547 724217889 1002000093 1283263277 1359148641 1740664049 2408316013 3849789831 5221992147 7224948039 24382002263 33072616931 45758004247 73146006789 99217850793 137274012741 175807068949 527421206847 3340334310031 10021002930093