Search a number
-
+
100440020441310 = 23511304363698307
BaseRepresentation
bin10110110101100110000011…
…101111010101100011011110
3111011121222020201101221222120
4112311212003233111203132
5101131102130213110220
6553341301451523410
730104360224161564
oct2665460357254336
9434558221357876
10100440020441310
112a004412089460
12b321b47759566
1344075b7b42a94
141ab3474183a34
15b92a1e88ba40
hex5b5983bd58de

100440020441310 has 32 divisors (see below), whose sum is σ = 262970235338112. Its totient is φ = 24349095864480.

The previous prime is 100440020441309. The next prime is 100440020441311. The reversal of 100440020441310 is 13144020044001.

It is an interprime number because it is at equal distance from previous prime (100440020441309) and next prime (100440020441311).

It is a super-2 number, since 2×1004400204413102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100440020441311) 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, 152181848824 + ... + 152181849483.

It is an arithmetic number, because the mean of its divisors is an integer number (8217819854316).

Almost surely, 2100440020441310 is an apocalyptic number.

100440020441310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100440020441310 is an abundant number, since it is smaller than the sum of its proper divisors (162530214896802).

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

100440020441310 is a wasteful number, since it uses less digits than its factorization.

100440020441310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304363698328.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100440020441310 its reverse (13144020044001), we get a palindrome (113584040485311).

The spelling of 100440020441310 in words is "one hundred trillion, four hundred forty billion, twenty million, four hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 304363698307 608727396614 913091094921 1521818491535 1826182189842 3043636983070 3348000681377 4565455474605 6696001362754 9130910949210 10044002044131 16740003406885 20088004088262 33480006813770 50220010220655 100440020441310