Search a number
-
+
22210122100100 = 22521121835547281
BaseRepresentation
bin1010000110011001100100…
…11100000010110110000100
32220122021012121010000002112
411003030302130002312010
510402342312224200400
6115123104513000152
74451425346634614
oct503146234026604
986567177100075
1022210122100100
1170932949aa700
1225a8578b53058
13c51536c354cc
1456ad93256a44
15287b09c63835
hex143332702d84

22210122100100 has 54 divisors (see below), whose sum is σ = 52975730105802. Its totient is φ = 8076408032000.

The previous prime is 22210122100091. The next prime is 22210122100121. The reversal of 22210122100100 is 100122101222.

It can be written as a sum of positive squares in 3 ways, for example, as 1487833973824 + 20722288126276 = 1219768^2 + 4552174^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 917761541 + ... + 917785740.

Almost surely, 222210122100100 is an apocalyptic number.

22210122100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210122100100 is an abundant number, since it is smaller than the sum of its proper divisors (30765608005702).

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

22210122100100 is a wasteful number, since it uses less digits than its factorization.

22210122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835547317 (or 1835547299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22210122100100 its reverse (100122101222), we get a palindrome (22310244201322).

The spelling of 22210122100100 in words is "twenty-two trillion, two hundred ten billion, one hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 1835547281 3671094562 7342189124 9177736405 18355472810 20191020091 36710945620 40382040182 45888682025 80764080364 91777364050 100955100455 183554728100 201910200910 222101221001 403820401820 444202442002 504775502275 888404884004 1009551004550 1110506105005 2019102009100 2221012210010 4442024420020 5552530525025 11105061050050 22210122100100