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202200211111120 = 24517887167617391
BaseRepresentation
bin101101111110011001100111…
…110000011011110011010000
3222111221011002101000011001021
4231332121213300123303100
5203000322013021023440
61554013254501245224
760406324504222105
oct5576314760336320
9874834071004037
10202200211111120
115947769a907232
121a817909703814
1388a95237b9c31
1437d078462aaac
151859a58ce284a
hexb7e667c1bcd0

202200211111120 has 80 divisors (see below), whose sum is σ = 498330529233408. Its totient is φ = 76036611860480.

The previous prime is 202200211111109. The next prime is 202200211111159. The reversal of 202200211111120 is 21111112002202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202200211111094 and 202200211111103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82602376 + ... + 85015015.

Almost surely, 2202200211111120 is an apocalyptic number.

202200211111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202200211111120 is an abundant number, since it is smaller than the sum of its proper divisors (296130318122288).

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

202200211111120 is a wasteful number, since it uses less digits than its factorization.

202200211111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167618308 (or 167618302 counting only the distinct ones).

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

Adding to 202200211111120 its reverse (21111112002202), we get a palindrome (223311323113322).

The spelling of 202200211111120 in words is "two hundred two trillion, two hundred billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 887 1360 1774 3548 4435 7096 8870 14192 15079 17740 30158 35480 60316 70960 75395 120632 150790 241264 301580 603160 1206320 167617391 335234782 670469564 838086955 1340939128 1676173910 2681878256 2849495647 3352347820 5698991294 6704695640 11397982588 13409391280 14247478235 22795965176 28494956470 45591930352 56989912940 113979825880 148676625817 227959651760 297353251634 594706503268 743383129085 1189413006536 1486766258170 2378826013072 2527502638889 2973532516340 5055005277778 5947065032680 10110010555556 11894130065360 12637513194445 20220021111112 25275026388890 40440042222224 50550052777780 101100105555560 202200211111120