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12222100230100 = 2252972557492769
BaseRepresentation
bin1011000111011010110111…
…1100010100111111010100
31121021102101011211210121121
42301312231330110333110
53100221330124330400
641554431052453324
72401006015556155
oct261665574247724
947242334753547
1012222100230100
1139923aaa4aa82
12145488477a244
136a8701555197
143037a4c9192c
15162dd16c121a
hexb1dadf14fd4

12222100230100 has 72 divisors (see below), whose sum is σ = 26805913365560. Its totient is φ = 4836537630720.

The previous prime is 12222100230091. The next prime is 12222100230101. The reversal of 12222100230100 is 103200122221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6150419840016 + 6071680390084 = 2480004^2 + 2464078^2 .

It is a super-2 number, since 2×122221002301002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222100230101) 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, 24556516 + ... + 25049284.

Almost surely, 212222100230100 is an apocalyptic number.

12222100230100 is a gapful number since it is divisible by the number (10) 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 12222100230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402956682780).

12222100230100 is an abundant number, since it is smaller than the sum of its proper divisors (14583813135460).

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

12222100230100 is a wasteful number, since it uses less digits than its factorization.

12222100230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495437 (or 495430 counting only the distinct ones).

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

Adding to 12222100230100 its reverse (103200122221), we get a palindrome (12325300352321).

The spelling of 12222100230100 in words is "twelve trillion, two hundred twenty-two billion, one hundred million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 2557 4850 5114 9700 10228 12785 25570 51140 63925 127850 248029 255700 492769 496058 985538 992116 1240145 1971076 2463845 2480290 4927690 4960580 6200725 9855380 12319225 12401450 24638450 24802900 47798593 49276900 95597186 191194372 238992965 477985930 955971860 1194964825 1260010333 2389929650 2520020666 4779859300 5040041332 6300051665 12600103330 25200206660 31500258325 63000516650 122221002301 126001033300 244442004602 488884009204 611105011505 1222210023010 2444420046020 3055525057525 6111050115050 12222100230100