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221201211110100 = 2235213281201844339
BaseRepresentation
bin110010010010111001101011…
…100111001011001011010100
31002000012121222201201102221020
4302102321223213023023110
5212443130040021010400
62102242233350321140
764410155135322624
oct6222715347131324
91060177881642836
10221201211110100
11645329a7a71411
122098633a0591b0
139657252a419c0
143c8a2a518c884
151a88e400e32a0
hexc92e6b9cb2d4

221201211110100 has 144 divisors (see below), whose sum is σ = 691693102349760. Its totient is φ = 54255758054400.

The previous prime is 221201211110069. The next prime is 221201211110129. The reversal of 221201211110100 is 1011112102122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221201211110100.

It is a congruent number.

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, 99826270 + ... + 102018069.

Almost surely, 2221201211110100 is an apocalyptic number.

221201211110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201211110100 is an abundant number, since it is smaller than the sum of its proper divisors (470491891239660).

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

221201211110100 is a wasteful number, since it uses less digits than its factorization.

221201211110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201844650 (or 201844643 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221201211110100 its reverse (1011112102122), we get a palindrome (222212323212222).

The spelling of 221201211110100 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred eleven million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 281 300 325 390 562 650 780 843 975 1124 1300 1405 1686 1950 2810 3372 3653 3900 4215 5620 7025 7306 8430 10959 14050 14612 16860 18265 21075 21918 28100 36530 42150 43836 54795 73060 84300 91325 109590 182650 219180 273975 365300 547950 1095900 201844339 403688678 605533017 807377356 1009221695 1211066034 2018443390 2422132068 2623976407 3027665085 4036886780 5046108475 5247952814 6055330170 7871929221 10092216950 10495905628 12110660340 13119882035 15138325425 15743858442 20184433900 26239764070 30276650850 31487716884 39359646105 52479528140 56718259259 60553301700 65599410175 78719292210 113436518518 131198820350 157438584420 170154777777 196798230525 226873037036 262397640700 283591296295 340309555554 393596461050 567182592590 680619111108 737337370367 787192922100 850773888885 1134365185180 1417956481475 1474674740734 1701547777770 2212012111101 2835912962950 2949349481468 3403095555540 3686686851835 4253869444425 4424024222202 5671825925900 7373373703670 8507738888850 8848048444404 11060060555505 14746747407340 17015477777700 18433434259175 22120121111010 36866868518350 44240242222020 55300302777525 73733737036700 110600605555050 221201211110100