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22031120100 = 223521136718191
BaseRepresentation
bin10100100001001010…
…000011011011100100
32002212101102212020010
4110201022003123210
5330104431320400
614042043210220
71406644300563
oct244112033344
962771385203
1022031120100
119385aa1680
12432a216970
132101429a52
1410cdd61bda
1588e229450
hex5212836e4

22031120100 has 144 divisors (see below), whose sum is σ = 69731536896. Its totient is φ = 5326032000.

The previous prime is 22031120071. The next prime is 22031120117. The reversal of 22031120100 is 102113022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1202005 + ... + 1220195.

It is an arithmetic number, because the mean of its divisors is an integer number (484246784).

Almost surely, 222031120100 is an apocalyptic number.

22031120100 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 22031120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34865768448).

22031120100 is an abundant number, since it is smaller than the sum of its proper divisors (47700416796).

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

22031120100 is a wasteful number, since it uses less digits than its factorization.

22031120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18586 (or 18579 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 22031120100 its reverse (102113022), we get a palindrome (22133233122).

The spelling of 22031120100 in words is "twenty-two billion, thirty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 367 550 660 734 825 1100 1101 1468 1650 1835 2202 3300 3670 4037 4404 5505 7340 8074 9175 11010 12111 16148 18191 18350 20185 22020 24222 27525 36382 36700 40370 48444 54573 55050 60555 72764 80740 90955 100925 109146 110100 121110 181910 200101 201850 218292 242220 272865 302775 363820 400202 403700 454775 545730 600303 605550 800404 909550 1000505 1091460 1200606 1211100 1364325 1819100 2001010 2401212 2728650 3001515 4002020 5002525 5457300 6003030 6676097 10005050 12006060 13352194 15007575 20010100 20028291 26704388 30015150 33380485 40056582 60030300 66760970 73437067 80113164 100141455 133521940 146874134 166902425 200282910 220311201 293748268 333804850 367185335 400565820 440622402 500707275 667609700 734370670 881244804 1001414550 1101556005 1468741340 1835926675 2002829100 2203112010 3671853350 4406224020 5507780025 7343706700 11015560050 22031120100