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101201421004311 = 3319675857192133
BaseRepresentation
bin10111000000101011001010…
…101111111110111000010111
3111021022202120000220010201110
4113000223022233332320113
5101231041002234114221
6555123142504230103
730213363361162065
oct2700531257767027
9437282500803643
10101201421004311
112a2783109288a1
12b42561b16b333
134461339c549b4
141adc263d59035
15ba77340ed776
hex5c0acabfee17

101201421004311 has 32 divisors (see below), whose sum is σ = 139456550514688. Its totient is φ = 65212244536320.

The previous prime is 101201421004301. The next prime is 101201421004319. The reversal of 101201421004311 is 113400124102101.

It is not a de Polignac number, because 101201421004311 - 25 = 101201421004279 is a prime.

It is a super-3 number, since 3×1012014210043113 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201421004319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526629801 + ... + 526821933.

It is an arithmetic number, because the mean of its divisors is an integer number (4358017203584).

Almost surely, 2101201421004311 is an apocalyptic number.

101201421004311 is a deficient number, since it is larger than the sum of its proper divisors (38255129510377).

101201421004311 is a wasteful number, since it uses less digits than its factorization.

101201421004311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198991.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 101201421004311 its reverse (113400124102101), we get a palindrome (214601545106412).

The spelling of 101201421004311 in words is "one hundred one trillion, two hundred one billion, four hundred twenty-one million, four thousand, three hundred eleven".

Divisors: 1 3 31 93 967 2901 5857 17571 29977 89931 181567 192133 544701 576399 5663719 5956123 16991157 17868369 175575289 185792611 526725867 557377833 1125322981 3375968943 5759570941 17278712823 34885012411 104655037233 1088187322627 3264561967881 33733807001437 101201421004311