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103434411100 = 225215119513511
BaseRepresentation
bin110000001010100101…
…0111101110001011100
3100212222112002111120211
41200111022331301130
53143313202123400
6115303410222204
710321125662566
oct1402512756134
9325875074524
10103434411100
113a959034a89
1218067b84964
1399a51c3267
145013228336
152a559dcdba
hex18152bdc5c

103434411100 has 72 divisors (see below), whose sum is σ = 226119305216. Its totient is φ = 41067000000.

The previous prime is 103434411089. The next prime is 103434411149. The reversal of 103434411100 is 1114434301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29458345 + ... + 29461855.

Almost surely, 2103434411100 is an apocalyptic number.

103434411100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103434411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113059652608).

103434411100 is an abundant number, since it is smaller than the sum of its proper divisors (122684894116).

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

103434411100 is a wasteful number, since it uses less digits than its factorization.

103434411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 103434411100 its reverse (1114434301), we get a palindrome (104548845401).

The spelling of 103434411100 in words is "one hundred three billion, four hundred thirty-four million, four hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1510 1951 3020 3511 3775 3902 7022 7550 7804 9755 14044 15100 17555 19510 35110 39020 48775 70220 87775 97550 175550 195100 294601 351100 530161 589202 1060322 1178404 1473005 2120644 2650805 2946010 5301610 5892020 6849961 7365025 10603220 13254025 13699922 14730050 26508050 27399844 29460100 34249805 53016100 68499610 136999220 171249025 342498050 684996100 1034344111 2068688222 4137376444 5171720555 10343441110 20686882220 25858602775 51717205550 103434411100