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106706148330 = 23519187203769
BaseRepresentation
bin110001101100000101…
…1101001101111101010
3101012102112102222022210
41203120023221233222
53222013233221310
6121004203025550
710465164203235
oct1433013515752
9335375388283
10106706148330
1141287925651
121881b80b2b6
13a0a6c8b252
14524396841c
152b97d5b820
hex18d82e9bea

106706148330 has 32 divisors (see below), whose sum is σ = 269573428800. Its totient is φ = 26957342592.

The previous prime is 106706148323. The next prime is 106706148331. The reversal of 106706148330 is 33841607601.

106706148330 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1067061483303 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106706148331) 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, 93601315 + ... + 93602454.

It is an arithmetic number, because the mean of its divisors is an integer number (8424169650).

Almost surely, 2106706148330 is an apocalyptic number.

106706148330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106706148330 is an abundant number, since it is smaller than the sum of its proper divisors (162867280470).

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

106706148330 is a wasteful number, since it uses less digits than its factorization.

106706148330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187203798.

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 106706148330 in words is "one hundred six billion, seven hundred six million, one hundred forty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 187203769 374407538 561611307 936018845 1123222614 1872037690 2808056535 3556871611 5616113070 7113743222 10670614833 17784358055 21341229666 35568716110 53353074165 106706148330