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221012021032 = 231110197125609
BaseRepresentation
bin1100110111010101010…
…1111100111100101000
3210010110201002221121121
43031311111330330220
512110113034133112
6245310450345024
721652612116355
oct3156525747450
9703421087547
10221012021032
1185804584640
1236a0058b174
1317ac258270a
14a9a896362c
155b37e98407
hex337557cf28

221012021032 has 64 divisors (see below), whose sum is σ = 457034011200. Its totient is φ = 99359040000.

The previous prime is 221012020981. The next prime is 221012021033. The reversal of 221012021032 is 230120210122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221012020997 and 221012021015.

It is not an unprimeable number, because it can be changed into a prime (221012021033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8617444 + ... + 8643052.

It is an arithmetic number, because the mean of its divisors is an integer number (7141156425).

Almost surely, 2221012021032 is an apocalyptic number.

221012021032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221012021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228517005600).

221012021032 is an abundant number, since it is smaller than the sum of its proper divisors (236021990168).

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

221012021032 is a wasteful number, since it uses less digits than its factorization.

221012021032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26698 (or 26694 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 221012021032 its reverse (230120210122), we get a palindrome (451132231154).

The spelling of 221012021032 in words is "two hundred twenty-one billion, twelve million, twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 971 1111 1942 2222 3884 4444 7768 8888 10681 21362 25609 42724 51218 85448 98071 102436 196142 204872 281699 392284 563398 784568 1078781 1126796 2157562 2253592 2586509 4315124 5173018 8630248 10346036 20692072 24866339 28451599 49732678 56903198 99465356 113806396 198930712 227612792 273529729 547059458 1094118916 2188237832 2511500239 5023000478 10046000956 20092001912 27626502629 55253005258 110506010516 221012021032