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106662438330 = 2357507916373
BaseRepresentation
bin110001101010110010…
…0111010010110111010
3101012022111012021110220
41203111210322112322
53221421041011310
6121000002120510
710464123523650
oct1432544722672
9335274167426
10106662438330
1141265190688
1218809050136
13a09abc5b46
14523bc2add0
152b940c5670
hex18d593a5ba

106662438330 has 32 divisors (see below), whose sum is σ = 292559831424. Its totient is φ = 24379985856.

The previous prime is 106662438319. The next prime is 106662438347. The reversal of 106662438330 is 33834266601.

106662438330 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-2 number, since 2×1066624383302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 253957977 + ... + 253958396.

It is an arithmetic number, because the mean of its divisors is an integer number (9142494732).

Almost surely, 2106662438330 is an apocalyptic number.

106662438330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106662438330 is an abundant number, since it is smaller than the sum of its proper divisors (185897393094).

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

106662438330 is a wasteful number, since it uses less digits than its factorization.

106662438330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507916390.

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 106662438330 in words is "one hundred six billion, six hundred sixty-two million, four hundred thirty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 507916373 1015832746 1523749119 2539581865 3047498238 3555414611 5079163730 7110829222 7618745595 10666243833 15237491190 17777073055 21332487666 35554146110 53331219165 106662438330