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106500656500 = 22537171789927
BaseRepresentation
bin110001100101111101…
…1110000110101110100
3101011220012202220112021
41203023323300311310
53221103132002000
6120531542402524
710460120433550
oct1431373606564
9334805686467
10106500656500
1141191931597
1218782a30444
13a073530354
145224556860
152b84cba11a
hex18cbef0d74

106500656500 has 96 divisors (see below), whose sum is σ = 281462598144. Its totient is φ = 34366579200.

The previous prime is 106500656473. The next prime is 106500656503. The reversal of 106500656500 is 5656005601.

It is a super-2 number, since 2×1065006565002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106500656503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835464 + ... + 954463.

It is an arithmetic number, because the mean of its divisors is an integer number (2931902064).

Almost surely, 2106500656500 is an apocalyptic number.

106500656500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106500656500 is an abundant number, since it is smaller than the sum of its proper divisors (174961941644).

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

106500656500 is a wasteful number, since it uses less digits than its factorization.

106500656500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789970 (or 1789958 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 106500656500 in words is "one hundred six billion, five hundred million, six hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 125 140 170 175 238 250 340 350 425 476 500 595 700 850 875 1190 1700 1750 2125 2380 2975 3500 4250 5950 8500 11900 14875 29750 59500 1789927 3579854 7159708 8949635 12529489 17899270 25058978 30428759 35798540 44748175 50117956 60857518 62647445 89496350 121715036 125294890 152143795 178992700 213001313 223740875 250589780 304287590 313237225 426002626 447481750 608575180 626474450 760718975 852005252 894963500 1065006565 1252948900 1521437950 1566186125 2130013130 3042875900 3132372250 3803594875 4260026260 5325032825 6264744500 7607189750 10650065650 15214379500 21300131300 26625164125 53250328250 106500656500