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106050212142 = 23771911712999
BaseRepresentation
bin110001011000100010…
…1011101000100101110
3101010201211011222000220
41202301011131010232
53214142323242032
6120415132032210
710443010633650
oct1426105350456
9333654158026
10106050212142
1140a80642026
1218678002666
13a001109324
1451c07c06d0
152b5a49012c
hex18b115d12e

106050212142 has 64 divisors (see below), whose sum is σ = 243025920000. Its totient is φ = 30221998560.

The previous prime is 106050212069. The next prime is 106050212159. The reversal of 106050212142 is 241212050601.

It is a super-2 number, since 2×1060502121422 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35360359 + ... + 35363357.

It is an arithmetic number, because the mean of its divisors is an integer number (3797280000).

Almost surely, 2106050212142 is an apocalyptic number.

106050212142 is an abundant number, since it is smaller than the sum of its proper divisors (136975707858).

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

106050212142 is a wasteful number, since it uses less digits than its factorization.

106050212142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 106050212142 its reverse (241212050601), we get a palindrome (347262262743).

The spelling of 106050212142 in words is "one hundred six billion, fifty million, two hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 719 1171 1438 2157 2342 2999 3513 4314 5033 5998 7026 8197 8997 10066 15099 16394 17994 20993 24591 30198 41986 49182 62979 125958 841949 1683898 2156281 2525847 3511829 4312562 5051694 5893643 6468843 7023658 10535487 11787286 12937686 15093967 17680929 21070974 24582803 30187934 35361858 45281901 49165606 73748409 90563802 147496818 2525005051 5050010102 7575015153 15150030306 17675035357 35350070714 53025106071 106050212142