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101044111440141 = 3331614799412387
BaseRepresentation
bin10110111110011000101010…
…010111100111100100001101
3111020202201111212012021212000
4112332120222113213210031
5101221001320012041031
6554523005102302513
730166124164016112
oct2676305227474415
9436681455167760
10101044111440141
112a217626769a21
12b3bb038587a39
13444c55a20344c
141ad47bd8a8909
15ba35c89573e6
hex5be62a5e790d

101044111440141 has 64 divisors (see below), whose sum is σ = 157090136064000. Its totient is φ = 64107548107200.

The previous prime is 101044111440073. The next prime is 101044111440271. The reversal of 101044111440141 is 141044111440101.

101044111440141 is a `hidden beast` number, since 1 + 0 + 104 + 4 + 1 + 114 + 401 + 41 = 666.

It is not a de Polignac number, because 101044111440141 - 233 = 101035521505549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101044131440141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244816350 + ... + 245228736.

It is an arithmetic number, because the mean of its divisors is an integer number (2454533376000).

Almost surely, 2101044111440141 is an apocalyptic number.

It is an amenable number.

101044111440141 is a deficient number, since it is larger than the sum of its proper divisors (56046024623859).

101044111440141 is a wasteful number, since it uses less digits than its factorization.

101044111440141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417287 (or 417281 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 101044111440141 its reverse (141044111440101), we get a palindrome (242088222880242).

The spelling of 101044111440141 in words is "one hundred one trillion, forty-four billion, one hundred eleven million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 3 9 27 31 61 93 183 279 549 837 1647 1891 4799 5673 14397 17019 43191 51057 129573 148769 292739 412387 446307 878217 1237161 1338921 2634651 3711483 4016763 7903953 9074909 11134449 12783997 25155607 27224727 38351991 75466821 81674181 115055973 226400463 245022543 345167919 679201389 779823817 1979045213 2339471451 5937135639 7018414353 17811406917 21055243059 53434220751 61350401603 120721757993 184051204809 362165273979 552153614427 1086495821937 1656460843281 3259487465811 3742374497783 11227123493349 33681370480047 101044111440141