Search a number
-
+
10002020985 = 3251171284593
BaseRepresentation
bin10010101000010101…
…01011101001111001
3221211001120022101200
421110022223221321
5130441004132420
64332254004413
7502600530015
oct112412535171
927731508350
1010002020985
114272975450
121b317a6709
13c35247318
146ac52b545
153d815bb90
hex2542aba79

10002020985 has 48 divisors (see below), whose sum is σ = 19179358848. Its totient is φ = 4781145600.

The previous prime is 10002020957. The next prime is 10002021013. The reversal of 10002020985 is 58902020001.

10002020985 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10002020957) and next prime (10002021013).

It is not a de Polignac number, because 10002020985 - 25 = 10002020953 is a prime.

It is an unprimeable number.

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, 107152 + ... + 177441.

It is an arithmetic number, because the mean of its divisors is an integer number (399569976).

Almost surely, 210002020985 is an apocalyptic number.

10002020985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10002020985 is a deficient number, since it is larger than the sum of its proper divisors (9177337863).

10002020985 is a wasteful number, since it uses less digits than its factorization.

10002020985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284686 (or 284683 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10002020985 its reverse (58902020001), we get a palindrome (68904040986).

The spelling of 10002020985 in words is "ten billion, two million, twenty thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 71 99 165 213 355 495 639 781 1065 2343 3195 3905 7029 11715 35145 284593 853779 1422965 2561337 3130523 4268895 9391569 12806685 15652615 20206103 28174707 46957845 60618309 101030515 140873535 181854927 222267133 303091545 666801399 909274635 1111335665 2000404197 3334006995 10002020985