Search a number
-
+
103011003144 = 23327204386911
BaseRepresentation
bin101111111101111101…
…1110010101100001000
3100211220000101011001200
41133323323302230020
53141431304100034
6115153403144200
710304465036220
oct1377373625410
9324800334050
10103011003144
113a761031355
1217b6a215060
1399385772ca
144db2ccd080
152a2d753a99
hex17fbef2b08

103011003144 has 48 divisors (see below), whose sum is σ = 318843582720. Its totient is φ = 29431715040.

The previous prime is 103011003143. The next prime is 103011003157. The reversal of 103011003144 is 441300110301.

It is a super-2 number, since 2×1030110031442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103011003143) by changing a digit.

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, 102192952 + ... + 102193959.

It is an arithmetic number, because the mean of its divisors is an integer number (6642574640).

Almost surely, 2103011003144 is an apocalyptic number.

103011003144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103011003144 is an abundant number, since it is smaller than the sum of its proper divisors (215832579576).

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

103011003144 is a wasteful number, since it uses less digits than its factorization.

103011003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204386930 (or 204386923 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103011003144 its reverse (441300110301), we get a palindrome (544311113445).

The spelling of 103011003144 in words is "one hundred three billion, eleven million, three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 204386911 408773822 613160733 817547644 1226321466 1430708377 1635095288 1839482199 2452642932 2861416754 3678964398 4292125131 4905285864 5722833508 7357928796 8584250262 11445667016 12876375393 14715857592 17168500524 25752750786 34337001048 51505501572 103011003144