Search a number
-
+
1003101311030 = 257132294813577
BaseRepresentation
bin11101001100011010111…
…11110101000000110110
310112220011212002100102112
432212031133311000312
5112413322413423110
62044452434211022
7132320533314110
oct16461537650066
93486155070375
101003101311030
1135745a5a2865
121424a8723a72
1373790962520
143679c2a23b0
151b15db6d405
hexe98d7f5036

1003101311030 has 64 divisors (see below), whose sum is σ = 2231959847040. Its totient is φ = 316078654464.

The previous prime is 1003101311027. The next prime is 1003101311033. The reversal of 1003101311030 is 301131013001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1003101311027) and next prime (1003101311033).

It is a super-4 number, since 4×10031013110304 (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1003101310996 and 1003101311014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003101311033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2198399 + ... + 2615178.

It is an arithmetic number, because the mean of its divisors is an integer number (34874372610).

Almost surely, 21003101311030 is an apocalyptic number.

1003101311030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1003101311030 is an abundant number, since it is smaller than the sum of its proper divisors (1228858536010).

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

1003101311030 is a wasteful number, since it uses less digits than its factorization.

1003101311030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813833.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1003101311030 its reverse (301131013001), we get a palindrome (1304232324031).

It can be divided in two parts, 1003101 and 311030, that added together give a palindrome (1314131).

The spelling of 1003101311030 in words is "one trillion, three billion, one hundred one million, three hundred eleven thousand, thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 229 455 458 910 1145 1603 2290 2977 3206 5954 8015 14885 16030 20839 29770 41678 104195 208390 4813577 9627154 24067885 33695039 48135770 62576501 67390078 125153002 168475195 312882505 336950390 438035507 625765010 876071014 1102309133 2190177535 2204618266 4380355070 5511545665 7716163931 11023091330 14330018729 15432327862 28660037458 38580819655 71650093645 77161639310 100310131103 143300187290 200620262206 501550655515 1003101311030