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101412043000 = 23532919318119
BaseRepresentation
bin101111001110010100…
…0001111100011111000
3100200202120122120002121
41132130220033203320
53130142440334000
6114331004011024
710220041066642
oct1363450174370
9320676576077
10101412043000
113a0104aa994
12177a2830a74
139742216948
144ca07c9892
1529881acb1a
hex179ca0f8f8

101412043000 has 128 divisors (see below), whose sum is σ = 246772656000. Its totient is φ = 38960947200.

The previous prime is 101412042967. The next prime is 101412043001. The reversal of 101412043000 is 340214101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101412043001) 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, 5587941 + ... + 5606059.

It is an arithmetic number, because the mean of its divisors is an integer number (1927911375).

Almost surely, 2101412043000 is an apocalyptic number.

101412043000 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 101412043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123386328000).

101412043000 is an abundant number, since it is smaller than the sum of its proper divisors (145360613000).

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

101412043000 is a wasteful number, since it uses less digits than its factorization.

101412043000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18362 (or 18348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101412043000 its reverse (340214101), we get a palindrome (101752257101).

The spelling of 101412043000 in words is "one hundred one billion, four hundred twelve million, forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 193 200 232 250 290 386 500 580 725 772 965 1000 1160 1450 1544 1930 2900 3625 3860 4825 5597 5800 7250 7720 9650 11194 14500 18119 19300 22388 24125 27985 29000 36238 38600 44776 48250 55970 72476 90595 96500 111940 139925 144952 181190 193000 223880 279850 362380 452975 525451 559700 699625 724760 905950 1050902 1119400 1399250 1811900 2101804 2264875 2627255 2798500 3496967 3623800 4203608 4529750 5254510 5597000 6993934 9059500 10509020 13136275 13987868 17484835 18119000 21018040 26272550 27975736 34969670 52545100 65681375 69939340 87424175 101412043 105090200 131362750 139878680 174848350 202824086 262725500 349696700 405648172 437120875 507060215 525451000 699393400 811296344 874241750 1014120430 1748483500 2028240860 2535301075 3496967000 4056481720 5070602150 10141204300 12676505375 20282408600 25353010750 50706021500 101412043000