Search a number
-
+
106202213412 = 22331614680161
BaseRepresentation
bin110001011101000100…
…1010010110000100100
3101011010102012102120120
41202322021102300210
53220000231312122
6120442202001540
710446534630231
oct1427211226044
9334112172516
10106202213412
1141049420909
12186baaa62b0
13a0267590c9
1451d6a6a788
152b689b775c
hex18ba252c24

106202213412 has 48 divisors (see below), whose sum is σ = 259992359424. Its totient is φ = 33697152000.

The previous prime is 106202213407. The next prime is 106202213479. The reversal of 106202213412 is 214312202601.

It is a super-2 number, since 2×1062022134122 (a number of 23 digits) contains 22 as substring.

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, 2317389 + ... + 2362772.

It is an arithmetic number, because the mean of its divisors is an integer number (5416507488).

Almost surely, 2106202213412 is an apocalyptic number.

106202213412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106202213412 is an abundant number, since it is smaller than the sum of its proper divisors (153790146012).

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

106202213412 is a wasteful number, since it uses less digits than its factorization.

106202213412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680260 (or 4680258 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 106202213412 in words is "one hundred six billion, two hundred two million, two hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 31 61 62 93 122 124 183 186 244 366 372 732 1891 3782 5673 7564 11346 22692 4680161 9360322 14040483 18720644 28080966 56161932 145084991 285489821 290169982 435254973 570979642 580339964 856469463 870509946 1141959284 1712938926 1741019892 3425877852 8850184451 17700368902 26550553353 35400737804 53101106706 106202213412