Search a number
-
+
103020101020 = 225191378919661
BaseRepresentation
bin101111111110001111…
…0011111110110011100
3100211220122111101000001
41133330132133312130
53141441121213040
6115154330144044
710304635260514
oct1377436376634
9324818441001
10103020101020
113a766185761
1217b71282024
13993a411375
144db41ba844
152a2e44e59a
hex17fc79fd9c

103020101020 has 48 divisors (see below), whose sum is σ = 227756743200. Its totient is φ = 39034379520.

The previous prime is 103020101017. The next prime is 103020101027. The reversal of 103020101020 is 20101020301.

It is a super-2 number, since 2×1030201010202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 103020100988 and 103020101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103020101027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5229990 + ... + 5249650.

It is an arithmetic number, because the mean of its divisors is an integer number (4744932150).

Almost surely, 2103020101020 is an apocalyptic number.

103020101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103020101020 is an abundant number, since it is smaller than the sum of its proper divisors (124736642180).

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

103020101020 is a wasteful number, since it uses less digits than its factorization.

103020101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33478 (or 33476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 103020101020 its reverse (20101020301), we get a palindrome (123121121321).

The spelling of 103020101020 in words is "one hundred three billion, twenty million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 13789 19661 27578 39322 55156 68945 78644 98305 137890 196610 261991 275780 373559 393220 523982 747118 1047964 1309955 1494236 1867795 2619910 3735590 5239820 7471180 271105529 542211058 1084422116 1355527645 2711055290 5151005051 5422110580 10302010102 20604020204 25755025255 51510050510 103020101020