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105031332100 = 22524912139131
BaseRepresentation
bin110000111010001011…
…0101111000100000100
3101001002210222111101001
41201310112233010010
53210101010111400
6120130053543044
710405526410132
oct1416426570404
9331083874331
10105031332100
11405a84a3402
1218432944a84
139b9acbb726
14512535a752
152aeaccea6a
hex18745af104

105031332100 has 36 divisors (see below), whose sum is σ = 228382288848. Its totient is φ = 41926948000.

The previous prime is 105031332073. The next prime is 105031332149. The reversal of 105031332100 is 1233130501.

It is a super-2 number, since 2×1050313321002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1020466 + ... + 1118665.

It is an arithmetic number, because the mean of its divisors is an integer number (6343952468).

Almost surely, 2105031332100 is an apocalyptic number.

105031332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105031332100 is an abundant number, since it is smaller than the sum of its proper divisors (123350956748).

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

105031332100 is a wasteful number, since it uses less digits than its factorization.

105031332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139636 (or 2139629 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

Adding to 105031332100 its reverse (1233130501), we get a palindrome (106264462601).

The spelling of 105031332100 in words is "one hundred five billion, thirty-one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 491 982 1964 2455 4910 9820 12275 24550 49100 2139131 4278262 8556524 10695655 21391310 42782620 53478275 106956550 213913100 1050313321 2100626642 4201253284 5251566605 10503133210 21006266420 26257833025 52515666050 105031332100