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221211112001021 = 2353210738982261
BaseRepresentation
bin110010010011000010111001…
…110000000100110111111101
31002000020120112201222210221222
4302103002321300010313331
5212443310324133013041
62102250552033003125
764410655400443052
oct6223027160046775
91060216481883858
10221211112001021
116453711884329a
12209882419b34a5
13965817003b03c
143c8a9640b3029
151a8931e42574b
hexc930b9c04dfd

221211112001021 has 48 divisors (see below), whose sum is σ = 238078521233280. Its totient is φ = 205129532424960.

The previous prime is 221211112000997. The next prime is 221211112001027. The reversal of 221211112001021 is 120100211112122.

221211112001021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-221211112001021 is a prime.

It is a super-4 number, since 4×2212111120010214 (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211112001027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2689096031 + ... + 2689178291.

It is an arithmetic number, because the mean of its divisors is an integer number (4959969192360).

Almost surely, 2221211112001021 is an apocalyptic number.

It is an amenable number.

221211112001021 is a deficient number, since it is larger than the sum of its proper divisors (16867409232259).

221211112001021 is a wasteful number, since it uses less digits than its factorization.

221211112001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82886 (or 82833 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221211112001021 its reverse (120100211112122), we get a palindrome (341311323113143).

The spelling of 221211112001021 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred twelve million, one thousand, twenty-one".

Divisors: 1 23 53 107 389 1219 2461 2809 5671 8947 20617 41623 64607 82261 130433 300563 474191 957329 1092701 1892003 2206019 4359833 6912949 8801927 25132123 31999529 50738437 100276159 116919007 202444321 231071149 466502131 735989167 1695975037 2689137161 3423949603 5314636427 10729549013 24724612943 39007425851 78750840869 89886676961 181469328959 568666097689 2067393570103 4173794566057 9617874434827 221211112001021