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103132122000 = 2435317188687
BaseRepresentation
bin110000000001100100…
…1110100101110010000
3100212012110021121220020
41200003021310232100
53142203310401000
6115213411143440
710310465400345
oct1400311645620
9325173247806
10103132122000
113a813437786
1217ba28a4b80
1399576a357b
144dc501a7cc
152a391caba0
hex1803274b90

103132122000 has 80 divisors (see below), whose sum is σ = 332497980672. Its totient is φ = 27501897600.

The previous prime is 103132121993. The next prime is 103132122007. The reversal of 103132122000 is 221231301.

103132122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103132121993) and next prime (103132122007).

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 not an unprimeable number, because it can be changed into a prime (103132122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8588344 + ... + 8600343.

Almost surely, 2103132122000 is an apocalyptic number.

103132122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103132122000 is an abundant number, since it is smaller than the sum of its proper divisors (229365858672).

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

103132122000 is a wasteful number, since it uses less digits than its factorization.

103132122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17188713 (or 17188697 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103132122000 its reverse (221231301), we get a palindrome (103353353301).

The spelling of 103132122000 in words is "one hundred three billion, one hundred thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 17188687 34377374 51566061 68754748 85943435 103132122 137509496 171886870 206264244 257830305 275018992 343773740 412528488 429717175 515660610 687547480 825056976 859434350 1031321220 1289151525 1375094960 1718868700 2062642440 2148585875 2578303050 3437737400 4125284880 4297171750 5156606100 6445757625 6875474800 8594343500 10313212200 12891515250 17188687000 20626424400 25783030500 34377374000 51566061000 103132122000