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103120332132 = 223415317322859
BaseRepresentation
bin110000000001001110…
…0110110010101100100
3100212011122002122020110
41200002130312111210
53142142301112012
6115212310333020
710310263234506
oct1400234662544
9325148078213
10103120332132
113a807814894
1217b9a95a170
13995510610c
144dc362bd76
152a3814c73c
hex1802736564

103120332132 has 96 divisors (see below), whose sum is σ = 252596050560. Its totient is φ = 32710712320.

The previous prime is 103120332089. The next prime is 103120332191. The reversal of 103120332132 is 231233021301.

103120332132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 103120332099 and 103120332108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4499719 + ... + 4522577.

It is an arithmetic number, because the mean of its divisors is an integer number (2631208860).

Almost surely, 2103120332132 is an apocalyptic number.

103120332132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103120332132 is an abundant number, since it is smaller than the sum of its proper divisors (149475718428).

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

103120332132 is a wasteful number, since it uses less digits than its factorization.

103120332132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23133 (or 23131 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103120332132 its reverse (231233021301), we get a palindrome (334353353433).

The spelling of 103120332132 in words is "one hundred three billion, one hundred twenty million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 53 82 106 123 159 164 173 212 246 318 346 492 519 636 692 1038 2076 2173 4346 6519 7093 8692 9169 13038 14186 18338 21279 22859 26076 27507 28372 36676 42558 45718 55014 68577 85116 91436 110028 137154 274308 375929 751858 937219 1127787 1211527 1503716 1874438 2255574 2423054 2811657 3634581 3748876 3954607 4511148 4846108 5623314 7269162 7909214 11246628 11863821 14538324 15818428 23727642 47455284 49672607 99345214 149017821 162138887 198690428 209594171 298035642 324277774 419188342 486416661 596071284 628782513 648555548 838376684 972833322 1257565026 1945666644 2515130052 8593361011 17186722022 25780083033 34373444044 51560166066 103120332132