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103101123120 = 24351107138803
BaseRepresentation
bin110000000000101001…
…1100100101000110000
3100212010021221201102120
41200001103210220300
53142122341414440
6115210342514240
710306641041532
oct1400123445060
9325107851376
10103101123120
113a7a7994876
1217b94435980
13995113ba38
144dc0c6b852
152a36605dd0
hex18014e4a30

103101123120 has 80 divisors (see below), whose sum is σ = 319650588672. Its totient is φ = 27490440960.

The previous prime is 103101123101. The next prime is 103101123143. The reversal of 103101123120 is 21321101301.

It is a happy number.

103101123120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103101123120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2637639 + ... + 2676441.

Almost surely, 2103101123120 is an apocalyptic number.

103101123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103101123120 is an abundant number, since it is smaller than the sum of its proper divisors (216549465552).

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

103101123120 is a wasteful number, since it uses less digits than its factorization.

103101123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49890 (or 49884 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 103101123120 its reverse (21321101301), we get a palindrome (124422224421).

The spelling of 103101123120 in words is "one hundred three billion, one hundred one million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11071 22142 33213 38803 44284 55355 66426 77606 88568 110710 116409 132852 155212 166065 177136 194015 221420 232818 265704 310424 332130 388030 442840 465636 531408 582045 620848 664260 776060 885680 931272 1164090 1328520 1552120 1862544 2328180 2657040 3104240 4656360 9312720 429588013 859176026 1288764039 1718352052 2147940065 2577528078 3436704104 4295880130 5155056156 6443820195 6873408208 8591760260 10310112312 12887640390 17183520520 20620224624 25775280780 34367041040 51550561560 103101123120