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221214012231100 = 22527476723830159
BaseRepresentation
bin110010010011000101100110…
…100111100100110110111100
31002000020212000212021202200211
4302103011212213210312330
5212443332244112343400
62102252151515002204
764411120305132250
oct6223054647446674
91060225025252624
10221214012231100
116453837695a059
1220988911139364
139658512b5c705
143c8ab5b348260
151a8943dd5cdba
hexc931669e4dbc

221214012231100 has 72 divisors (see below), whose sum is σ = 560283319572480. Its totient is φ = 74231084944320.

The previous prime is 221214012231029. The next prime is 221214012231211. The reversal of 221214012231100 is 1132210412122.

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, 3361882180 + ... + 3361947979.

It is an arithmetic number, because the mean of its divisors is an integer number (7781712771840).

Almost surely, 2221214012231100 is an apocalyptic number.

221214012231100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221214012231100 is an abundant number, since it is smaller than the sum of its proper divisors (339069307341380).

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

221214012231100 is a wasteful number, since it uses less digits than its factorization.

221214012231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723830227 (or 6723830220 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 221214012231100 its reverse (1132210412122), we get a palindrome (222346222643222).

The spelling of 221214012231100 in words is "two hundred twenty-one trillion, two hundred fourteen billion, twelve million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 329 350 470 658 700 940 1175 1316 1645 2350 3290 4700 6580 8225 16450 32900 6723830159 13447660318 26895320636 33619150795 47066811113 67238301590 94133622226 134476603180 168095753975 188267244452 235334055565 316020017473 336191507950 470668111130 632040034946 672383015900 941336222260 1176670277825 1264080069892 1580100087365 2212140122311 2353340555650 3160200174730 4424280244622 4706681111300 6320400349460 7900500436825 8848560489244 11060700611555 15801000873650 22121401223110 31602001747300 44242802446220 55303503057775 110607006115550 221214012231100