Search a number
-
+
10021000112010 = 2325293380015173
BaseRepresentation
bin1001000111010011001000…
…1001101110011110001010
31022110222221201122110211200
42101310302021232132022
52303141002012041020
633151330042205030
72052664503346536
oct221646211563612
938428851573750
1010021000112010
113213978352a98
12115a1787b3776
13578c8caac2c4
1426903a190bc6
15125a088b3590
hex91d3226e78a

10021000112010 has 48 divisors (see below), whose sum is σ = 26143523910504. Its totient is φ = 2663146325376.

The previous prime is 10021000111961. The next prime is 10021000112063. The reversal of 10021000112010 is 1021100012001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9879096468609 + 141903643401 = 3143103^2 + 376701^2 .

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 = 10021000111983 and 10021000112001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189981217 + ... + 190033956.

Almost surely, 210021000112010 is an apocalyptic number.

10021000112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021000112010 is an abundant number, since it is smaller than the sum of its proper divisors (16122523798494).

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

10021000112010 is a wasteful number, since it uses less digits than its factorization.

10021000112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380015479 (or 380015476 counting only the distinct ones).

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

Adding to 10021000112010 its reverse (1021100012001), we get a palindrome (11042100124011).

The spelling of 10021000112010 in words is "ten trillion, twenty-one billion, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 586 879 1465 1758 2637 2930 4395 5274 8790 13185 26370 380015173 760030346 1140045519 1900075865 2280091038 3420136557 3800151730 5700227595 6840273114 11400455190 17100682785 34201365570 111344445689 222688891378 334033337067 556722228445 668066674134 1002100011201 1113444456890 1670166685335 2004200022402 3340333370670 5010500056005 10021000112010