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101213403141042 = 23222675623441109
BaseRepresentation
bin10111000000110110010100…
…111100001101001110110010
3111021100220111002101202021100
4113000312110330031032302
5101231240022201003132
6555132443455105230
730214266324516243
oct2700662474151662
9437326432352240
10101213403141042
112a2823aa499535
12b427a03b12216
1344624c94a382a
141adca7d446cca
15ba7bd5ee137c
hex5c0d94f0d3b2

101213403141042 has 48 divisors (see below), whose sum is σ = 219431955113280. Its totient is φ = 33716845156896.

The previous prime is 101213403140933. The next prime is 101213403141073. The reversal of 101213403141042 is 240141304312101.

It is a happy number.

101213403141042 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 340 + 314 + 1 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101213403140997 and 101213403141015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229231584 + ... + 229672692.

It is an arithmetic number, because the mean of its divisors is an integer number (4571499064860).

Almost surely, 2101213403141042 is an apocalyptic number.

101213403141042 is an abundant number, since it is smaller than the sum of its proper divisors (118218551972238).

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

101213403141042 is a wasteful number, since it uses less digits than its factorization.

101213403141042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449007 (or 449004 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101213403141042 its reverse (240141304312101), we get a palindrome (341354707453143).

The spelling of 101213403141042 in words is "one hundred one trillion, two hundred thirteen billion, four hundred three million, one hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 2267 4534 5623 6801 11246 13602 16869 20403 33738 40806 50607 101214 441109 882218 1323327 2646654 3969981 7939962 12747341 25494682 38242023 76484046 114726069 229452138 999994103 1999988206 2480355907 2999982309 4960711814 5999964618 7441067721 8999946927 14882135442 17999893854 22323203163 44646406326 5622966841169 11245933682338 16868900523507 33737801047014 50606701570521 101213403141042