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103140334100 = 22521815698361
BaseRepresentation
bin110000000001110100…
…1001001101000010100
3100212020000201211210002
41200003221021220110
53142212411142400
6115214303150432
710310625242336
oct1400351115024
9325200654702
10103140334100
113a818036641
1217ba55a5418
1399592ba3bb
144dc6157456
152a39c9ded5
hex1803a49a14

103140334100 has 36 divisors (see below), whose sum is σ = 225051108828. Its totient is φ = 41028192000.

The previous prime is 103140334069. The next prime is 103140334117. The reversal of 103140334100 is 1433041301.

It can be written as a sum of positive squares in 6 ways, for example, as 20894124304 + 82246209796 = 144548^2 + 286786^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2831081 + ... + 2867280.

Almost surely, 2103140334100 is an apocalyptic number.

103140334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103140334100 is an abundant number, since it is smaller than the sum of its proper divisors (121910774728).

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

103140334100 is a wasteful number, since it uses less digits than its factorization.

103140334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698556 (or 5698549 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103140334100 its reverse (1433041301), we get a palindrome (104573375401).

The spelling of 103140334100 in words is "one hundred three billion, one hundred forty million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 5698361 11396722 22793444 28491805 56983610 113967220 142459025 284918050 569836100 1031403341 2062806682 4125613364 5157016705 10314033410 20628066820 25785083525 51570167050 103140334100