Search a number
-
+
223122130100 = 22523177038553
BaseRepresentation
bin1100111111001100011…
…1011000010010110100
3210022220202122121002022
43033303013120102310
512123423231130400
6250300105332312
722056113546012
oct3176307302264
9708822577068
10223122130100
1186697697831
12372ab197098
131806a79c96c
14ab28cc18b2
155c0d35ab85
hex33f31d84b4

223122130100 has 36 divisors (see below), whose sum is σ = 485702457324. Its totient is φ = 88967297280.

The previous prime is 223122130097. The next prime is 223122130169. The reversal of 223122130100 is 1031221322.

It can be written as a sum of positive squares in 6 ways, for example, as 162511504 + 222959618596 = 12748^2 + 472186^2 .

It is a super-3 number, since 3×2231221301003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3487577 + ... + 3550976.

Almost surely, 2223122130100 is an apocalyptic number.

223122130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223122130100 is an abundant number, since it is smaller than the sum of its proper divisors (262580327224).

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

223122130100 is a wasteful number, since it uses less digits than its factorization.

223122130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7038884 (or 7038877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 223122130100 its reverse (1031221322), we get a palindrome (224153351422).

The spelling of 223122130100 in words is "two hundred twenty-three billion, one hundred twenty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 317 634 1268 1585 3170 6340 7925 15850 31700 7038553 14077106 28154212 35192765 70385530 140771060 175963825 351927650 703855300 2231221301 4462442602 8924885204 11156106505 22312213010 44624426020 55780532525 111561065050 223122130100