Search a number
-
+
203010010302 = 2311101227134161
BaseRepresentation
bin1011110100010001010…
…1101110110010111110
3201102000010011001101110
42331010111232302332
511311231030312202
6233132253022450
720444530421151
oct2750425566276
9642003131343
10203010010302
1179106949520
1233417784a26
13161b3ac9b68
149b7bb71c98
15543284426c
hex2f4456ecbe

203010010302 has 64 divisors (see below), whose sum is σ = 449290291968. Its totient is φ = 60640320000.

The previous prime is 203010010289. The next prime is 203010010303.

It is a happy number.

203010010302 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2030100103022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203010010303) 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, 1446102 + ... + 1580262.

It is an arithmetic number, because the mean of its divisors is an integer number (7020160812).

Almost surely, 2203010010302 is an apocalyptic number.

203010010302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 203010010302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224645145984).

203010010302 is an abundant number, since it is smaller than the sum of its proper divisors (246280281666).

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

203010010302 is a wasteful number, since it uses less digits than its factorization.

203010010302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134505.

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 2030100 and 10302, that added together give a palindrome (2040402).

The spelling of 203010010302 in words is "two hundred three billion, ten million, ten thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 202 227 303 454 606 681 1111 1362 2222 2497 3333 4994 6666 7491 14982 22927 45854 68781 134161 137562 252197 268322 402483 504394 756591 804966 1475771 1513182 2951542 4427313 8854626 13550261 27100522 30454547 40650783 60909094 81301566 91363641 149052871 182727282 298105742 335000017 447158613 670000034 894317226 1005000051 2010000102 3075909247 6151818494 9227727741 18455455482 33835001717 67670003434 101505005151 203010010302