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210100100121212 = 227476191531168463
BaseRepresentation
bin101111110001010110111101…
…110101011100001001111100
31000112220101002012220100010112
4233301112331311130021330
5210014240001112334322
62022502353055325152
762153142224656160
oct5761267565341174
91015811065810115
10210100100121212
1160a42a52246a74
121b6929825207b8
13903047b8b0852
1439c4c831d6ca0
1519452bbde75e2
hexbf15bdd5c27c

210100100121212 has 96 divisors (see below), whose sum is σ = 430117217402880. Its totient is φ = 87926732832960.

The previous prime is 210100100121077. The next prime is 210100100121217. The reversal of 210100100121212 is 212121001001012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210100100121217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247074493 + ... + 1247242955.

It is an arithmetic number, because the mean of its divisors is an integer number (4480387681280).

Almost surely, 2210100100121212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210100100121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215058608701440).

210100100121212 is an abundant number, since it is smaller than the sum of its proper divisors (220017117281668).

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

210100100121212 is a wasteful number, since it uses less digits than its factorization.

210100100121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170671 (or 170669 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210100100121212 its reverse (212121001001012), we get a palindrome (422221101122224).

The spelling of 210100100121212 in words is "two hundred ten trillion, one hundred billion, one hundred million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 47 94 188 329 619 658 1238 1316 1531 2476 3062 4333 6124 8666 10717 17332 21434 29093 42868 58186 71957 116372 143914 168463 203651 287828 336926 407302 503699 673852 814604 947689 1007398 1179241 1895378 2014796 2358482 3790756 4716964 6633823 7917761 13267646 15835522 26535292 31671044 44541383 55424327 89082766 104278597 110848654 178165532 208557194 221697308 257916853 311789681 417114388 515833706 623579362 729950179 1031667412 1247158724 1459900358 1805417971 2919800716 3610835942 4901094059 7221671884 9802188118 12122092091 19604376236 24244184182 34307658413 48488368364 68615316826 84854644637 137230633652 159650532007 169709289274 319301064014 339418578548 638602128028 1117553724049 2235107448098 4470214896196 7503575004329 15007150008658 30014300017316 52525025030303 105050050060606 210100100121212