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101001313200 = 2435284167761
BaseRepresentation
bin101111000010000100…
…1011011101110110000
3100122200221210022201210
41132010021123232300
53123322314010300
6114222132400120
710203622665654
oct1360411335660
9318627708653
10101001313200
113991a676577
12176a9176040
1396a80b9568
144c62030a64
1529620ca050
hex178425bbb0

101001313200 has 60 divisors (see below), whose sum is σ = 323540877128. Its totient is φ = 26933683200.

The previous prime is 101001313169. The next prime is 101001313271. The reversal of 101001313200 is 2313100101.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 42082681 + ... + 42085080.

Almost surely, 2101001313200 is an apocalyptic number.

101001313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001313200 is an abundant number, since it is smaller than the sum of its proper divisors (222539563928).

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

101001313200 is a wasteful number, since it uses less digits than its factorization.

101001313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84167782 (or 84167771 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101001313200 its reverse (2313100101), we get a palindrome (103314413301).

The spelling of 101001313200 in words is "one hundred one billion, one million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 84167761 168335522 252503283 336671044 420838805 505006566 673342088 841677610 1010013132 1262516415 1346684176 1683355220 2020026264 2104194025 2525032830 3366710440 4040052528 4208388050 5050065660 6312582075 6733420880 8416776100 10100131320 12625164150 16833552200 20200262640 25250328300 33667104400 50500656600 101001313200