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212200203032312 = 231131539715130519
BaseRepresentation
bin110000001111111010110101…
…101110010001011011111000
31000211100010211000000221211112
4300033322311232101123320
5210303142003434013222
62031151232201215452
762460646564121135
oct6017726556213370
91024303730027745
10212200203032312
1161682667622550
121b9719a2791588
1391535160771a1
143a5878a65558c
15197ec3318bbe2
hexc0feb5b916f8

212200203032312 has 128 divisors (see below), whose sum is σ = 461207300198400. Its totient is φ = 90637855027200.

The previous prime is 212200203032231. The next prime is 212200203032347. The reversal of 212200203032312 is 213230302002212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6459389 + ... + 21589907.

It is an arithmetic number, because the mean of its divisors is an integer number (3603182032800).

Almost surely, 2212200203032312 is an apocalyptic number.

212200203032312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212200203032312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230603650099200).

212200203032312 is an abundant number, since it is smaller than the sum of its proper divisors (249007097166088).

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

212200203032312 is a wasteful number, since it uses less digits than its factorization.

212200203032312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15130717 (or 15130713 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 212200203032312 its reverse (213230302002212), we get a palindrome (425430505034524).

The spelling of 212200203032312 in words is "two hundred twelve trillion, two hundred billion, two hundred three million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 53 62 88 97 106 124 194 212 248 341 388 424 583 682 776 1067 1166 1364 1643 2134 2332 2728 3007 3286 4268 4664 5141 6014 6572 8536 10282 12028 13144 18073 20564 24056 33077 36146 41128 56551 66154 72292 113102 132308 144584 159371 226204 264616 318742 452408 637484 1274968 1753081 3506162 7012324 14024648 15130519 30261038 60522076 121044152 166435709 332871418 469046089 665742836 801917507 938092178 1331485672 1467660343 1603835014 1876184356 2935320686 3207670028 3752368712 5159506979 5870641372 6415340056 8821092577 10319013958 11741282744 16144263773 17642185154 20638027916 24859442717 32288527546 35284370308 41276055832 45497470633 49718885434 64577055092 70568740616 77785998179 90994941266 99437770868 129154110184 155571996358 181989882532 198875541736 273453869887 311143992716 363979765064 500472176963 546907739774 622287985432 855645979969 1000944353926 1093815479548 1711291959938 2001888707852 2187630959096 2411365943549 3422583919876 4003777415704 4822731887098 6845167839752 9645463774196 19290927548392 26525025379039 53050050758078 106100101516156 212200203032312