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22120020101100 = 22352152417483761
BaseRepresentation
bin1010000011110001101111…
…11100001100011111101100
32220022122122020022012122110
411001320313330030133230
510344403300121213400
6115013444050244020
74442055501402105
oct501706774143754
986278566265573
1022120020101100
117059058752219
122593011b86610
13c45ba7c4c8bc
145668869a73ac
152855d4989e50
hex141e37f0c7ec

22120020101100 has 72 divisors (see below), whose sum is σ = 64001143695888. Its totient is φ = 5898621132800.

The previous prime is 22120020101087. The next prime is 22120020101141. The reversal of 22120020101100 is 110102002122.

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 23 ways as a sum of consecutive naturals, for example, 45483220 + ... + 45966980.

It is an arithmetic number, because the mean of its divisors is an integer number (888904773554).

Almost surely, 222120020101100 is an apocalyptic number.

22120020101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120020101100 is an abundant number, since it is smaller than the sum of its proper divisors (41881123594788).

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

22120020101100 is a wasteful number, since it uses less digits than its factorization.

22120020101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636195 (or 636188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22120020101100 its reverse (110102002122), we get a palindrome (22230122103222).

The spelling of 22120020101100 in words is "twenty-two trillion, one hundred twenty billion, twenty million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 152417 304834 457251 483761 609668 762085 914502 967522 1451283 1524170 1829004 1935044 2286255 2418805 2902566 3048340 3810425 4572510 4837610 5805132 7256415 7620850 9145020 9675220 11431275 12094025 14512830 15241700 22862550 24188050 29025660 36282075 45725100 48376100 72564150 145128300 73733400337 147466800674 221200201011 294933601348 368667001685 442400402022 737334003370 884800804044 1106001005055 1474668006740 1843335008425 2212002010110 3686670016850 4424004020220 5530005025275 7373340033700 11060010050550 22120020101100