Search a number
-
+
10101001020012 = 2232740083337381
BaseRepresentation
bin1001001011111101001010…
…0100111110001001101100
31022202122110010110200101100
42102333102210332021230
52310443322230120022
633252200311243100
72061526136012430
oct222772244761154
938678403420340
1010101001020012
1132448a081a291
121171784979490
1358369c1714a6
1426cc690c49c0
15127b3beb11ac
hex92fd293e26c

10101001020012 has 36 divisors (see below), whose sum is σ = 29180669614096. Its totient is φ = 2886000291360.

The previous prime is 10101001019959. The next prime is 10101001020067. The reversal of 10101001020012 is 21002010010101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101001019976 and 10101001020003.

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 11 ways as a sum of consecutive naturals, for example, 20041668439 + ... + 20041668942.

Almost surely, 210101001020012 is an apocalyptic number.

10101001020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101001020012 is an abundant number, since it is smaller than the sum of its proper divisors (19079668594084).

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

10101001020012 is a wasteful number, since it uses less digits than its factorization.

10101001020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40083337398 (or 40083337393 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101001020012 its reverse (21002010010101), we get a palindrome (31103011030113).

The spelling of 10101001020012 in words is "ten trillion, one hundred one billion, one million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 40083337381 80166674762 120250012143 160333349524 240500024286 280583361667 360750036429 481000048572 561166723334 721500072858 841750085001 1122333446668 1443000145716 1683500170002 2525250255003 3367000340004 5050500510006 10101001020012