Search a number
-
+
103022313004030 = 25710165322315093
BaseRepresentation
bin10111011011001011000000…
…010111101101101111111110
3111111202211121010102212000111
4113123023000113231233332
5102000404144112112110
61003035444111220234
730462054645615250
oct2733130027555776
9444684533385014
10103022313004030
112a90a5769a5052
12b67a4b821767a
134563c685c98c4
141b62441285cd0
15bd9ca7d6de8a
hex5db2c05edbfe

103022313004030 has 64 divisors (see below), whose sum is σ = 214357721839488. Its totient is φ = 34918655961600.

The previous prime is 103022313003931. The next prime is 103022313004073. The reversal of 103022313004030 is 30400313220301.

It is a super-2 number, since 2×1030223130040302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103022313003992 and 103022313004010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6540837 + ... + 15774256.

It is an arithmetic number, because the mean of its divisors is an integer number (3349339403742).

Almost surely, 2103022313004030 is an apocalyptic number.

103022313004030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103022313004030 is an abundant number, since it is smaller than the sum of its proper divisors (111335408835458).

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

103022313004030 is a wasteful number, since it uses less digits than its factorization.

103022313004030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22315861.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 103022313004030 its reverse (30400313220301), we get a palindrome (133422626224331).

The spelling of 103022313004030 in words is "one hundred three trillion, twenty-two billion, three hundred thirteen million, four thousand, thirty".

Divisors: 1 2 5 7 10 14 35 70 101 202 505 653 707 1010 1306 1414 3265 3535 4571 6530 7070 9142 22855 45710 65953 131906 329765 461671 659530 923342 2308355 4616710 22315093 44630186 111575465 156205651 223150930 312411302 781028255 1562056510 2253824393 4507648786 11269121965 14571755729 15776770751 22538243930 29143511458 31553541502 72858778645 78883853755 102002290103 145717557290 157767707510 204004580206 510011450515 1020022901030 1471747328629 2943494657258 7358736643145 10302231300403 14717473286290 20604462600806 51511156502015 103022313004030