Search a number
-
+
106342212000 = 253538861851
BaseRepresentation
bin110001100001001111…
…1010110000110100000
3101011111011122002112110
41203002133112012200
53220242101241000
6120504122355320
710453154613333
oct1430237260640
9334434562473
10106342212000
1141110451922
121873995bb40
13a0497658cb
14520b4b061a
152b75e1d850
hex18c27d61a0

106342212000 has 96 divisors (see below), whose sum is σ = 348377125824. Its totient is φ = 28357920000.

The previous prime is 106342211897. The next prime is 106342212001. The reversal of 106342212000 is 212243601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1063422120002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106342212001) 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, 4418926 + ... + 4442925.

It is an arithmetic number, because the mean of its divisors is an integer number (3628928394).

Almost surely, 2106342212000 is an apocalyptic number.

106342212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106342212000 is an abundant number, since it is smaller than the sum of its proper divisors (242034913824).

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

106342212000 is an equidigital number, since it uses as much as digits as its factorization.

106342212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861879 (or 8861861 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 106342212000 its reverse (212243601), we get a palindrome (106554455601).

The spelling of 106342212000 in words is "one hundred six billion, three hundred forty-two million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 8861851 17723702 26585553 35447404 44309255 53171106 70894808 88618510 106342212 132927765 141789616 177237020 212684424 221546275 265855530 283579232 354474040 425368848 443092550 531711060 664638825 708948080 850737696 886185100 1063422120 1107731375 1329277650 1417896160 1772370200 2126844240 2215462750 2658555300 3323194125 3544740400 4253688480 4430925500 5317110600 6646388250 7089480800 8861851000 10634221200 13292776500 17723702000 21268442400 26585553000 35447404000 53171106000 106342212000