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221141112100 = 225219181643039
BaseRepresentation
bin1100110111110100001…
…0011001010100100100
3210010210201000110021021
43031331002121110210
512110344111041400
6245331341300524
721656040303226
oct3157502312444
9703721013237
10221141112100
1185870435677
1236a37864744
1317b1324056c
14a9bbb68416
155b4449771a
hex337d099524

221141112100 has 72 divisors (see below), whose sum is σ = 507924435200. Its totient is φ = 83337724800.

The previous prime is 221141112097. The next prime is 221141112109. The reversal of 221141112100 is 1211141122.

It is not an unprimeable number, because it can be changed into a prime (221141112109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22381 + ... + 665419.

Almost surely, 2221141112100 is an apocalyptic number.

221141112100 is a gapful number since it is divisible by the number (20) 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 221141112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253962217600).

221141112100 is an abundant number, since it is smaller than the sum of its proper divisors (286783323100).

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

221141112100 is a wasteful number, since it uses less digits than its factorization.

221141112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643253 (or 643246 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221141112100 its reverse (1211141122), we get a palindrome (222352253222).

The spelling of 221141112100 in words is "two hundred twenty-one billion, one hundred forty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 181 190 362 380 475 724 905 950 1810 1900 3439 3620 4525 6878 9050 13756 17195 18100 34390 68780 85975 171950 343900 643039 1286078 2572156 3215195 6430390 12217741 12860780 16075975 24435482 32151950 48870964 61088705 64303900 116390059 122177410 232780118 244354820 305443525 465560236 581950295 610887050 1163900590 1221774100 2211411121 2327801180 2909751475 4422822242 5819502950 8845644484 11057055605 11639005900 22114111210 44228222420 55285278025 110570556050 221141112100