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22103022100 = 22524110750383
BaseRepresentation
bin10100100101011100…
…010101101000010100
32010001101201212020011
4110211130111220110
5330231333201400
614053132250004
71411506405445
oct244534255024
963041655204
1022103022100
119412641715
12434a310904
1321132b3203
1410d971b2cc
158956cd8ba
hex525715a14

22103022100 has 72 divisors (see below), whose sum is σ = 49593575808. Its totient is φ = 8544787200.

The previous prime is 22103022083. The next prime is 22103022101. The reversal of 22103022100 is 122030122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22103022101) 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, 413509 + ... + 463891.

It is an arithmetic number, because the mean of its divisors is an integer number (688799664).

Almost surely, 222103022100 is an apocalyptic number.

22103022100 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 22103022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24796787904).

22103022100 is an abundant number, since it is smaller than the sum of its proper divisors (27490553708).

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

22103022100 is a wasteful number, since it uses less digits than its factorization.

22103022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50545 (or 50538 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22103022100 its reverse (122030122), we get a palindrome (22225052222).

The spelling of 22103022100 in words is "twenty-two billion, one hundred three million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 107 164 205 214 410 428 535 820 1025 1070 2050 2140 2675 4100 4387 5350 8774 10700 17548 21935 43870 50383 87740 100766 109675 201532 219350 251915 438700 503830 1007660 1259575 2065703 2519150 4131406 5038300 5390981 8262812 10328515 10781962 20657030 21563924 26954905 41314060 51642575 53909810 103285150 107819620 134774525 206570300 221030221 269549050 442060442 539098100 884120884 1105151105 2210302210 4420604420 5525755525 11051511050 22103022100