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212201220111100 = 225211261773714253
BaseRepresentation
bin110000001111111011110010…
…010110000111101011111100
31000211100020102212211220122021
4300033323302112013223330
5210303201044322023400
62031151521132525524
762461014024133333
oct6017736226075374
91024306385756567
10212201220111100
1161683039750930
121b9720273208a4
1391536489b3c5c
143a5884576ad1a
15197ec925e371a
hexc0fef2587afc

212201220111100 has 72 divisors (see below), whose sum is σ = 502530119795088. Its totient is φ = 77134593292800.

The previous prime is 212201220111077. The next prime is 212201220111121. The reversal of 212201220111100 is 1111022102212.

It is a super-2 number, since 2×2122012201111002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 33978427 + ... + 39735826.

It is an arithmetic number, because the mean of its divisors is an integer number (6979584997154).

Almost surely, 2212201220111100 is an apocalyptic number.

212201220111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201220111100 is an abundant number, since it is smaller than the sum of its proper divisors (290328899683988).

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

212201220111100 is a wasteful number, since it uses less digits than its factorization.

212201220111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73716895 (or 73716888 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212201220111100 its reverse (1111022102212), we get a palindrome (213312242213312).

The spelling of 212201220111100 in words is "two hundred twelve trillion, two hundred one billion, two hundred twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2617 5234 10468 13085 26170 28787 52340 57574 65425 115148 130850 143935 261700 287870 575740 719675 1439350 2878700 73714253 147428506 294857012 368571265 737142530 810856783 1474285060 1621713566 1842856325 3243427132 3685712650 4054283915 7371425300 8108567830 16217135660 20271419575 40542839150 81085678300 192910200101 385820400202 771640800404 964551000505 1929102001010 2122012201111 3858204002020 4244024402222 4822755002525 8488048804444 9645510005050 10610061005555 19291020010100 21220122011110 42440244022220 53050305027775 106100610055550 212201220111100