Search a number
-
+
221332113100 = 22527245169819
BaseRepresentation
bin1100111000100001101…
…1000000011011001100
3210011022000102022101101
43032020123000123030
512111242010104400
6245402323152444
721663546630400
oct3161033003314
9704260368341
10221332113100
118595923153a
1236a8b815724
1317b439967c7
14a9d9287100
155b5612556a
hex33886c06cc

221332113100 has 54 divisors (see below), whose sum is σ = 558705503580. Its totient is φ = 75885294240.

The previous prime is 221332113097. The next prime is 221332113103. The reversal of 221332113100 is 1311233122.

It is an interprime number because it is at equal distance from previous prime (221332113097) and next prime (221332113103).

It is a super-2 number, since 2×2213321131002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221332113103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22580010 + ... + 22589809.

Almost surely, 2221332113100 is an apocalyptic number.

221332113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221332113100 is an abundant number, since it is smaller than the sum of its proper divisors (337373390480).

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

221332113100 is a wasteful number, since it uses less digits than its factorization.

221332113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45169847 (or 45169833 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 221332113100 its reverse (1311233122), we get a palindrome (222643346222).

The spelling of 221332113100 in words is "two hundred twenty-one billion, three hundred thirty-two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 45169819 90339638 180679276 225849095 316188733 451698190 632377466 903396380 1129245475 1264754932 1580943665 2213321131 2258490950 3161887330 4426642262 4516981900 6323774660 7904718325 8853284524 11066605655 15809436650 22133211310 31618873300 44266422620 55333028275 110666056550 221332113100