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210001112112 = 2431110718232039
BaseRepresentation
bin1100001110010100001…
…0101010110000110000
3202002001100010211011010
43003211002222300300
511420040241041422
6240250112350520
721113011000161
oct3034502526060
9662040124133
10210001112112
1181074175810
1234848b45440
1316a593088ac
14a242453768
1556e14a1b0c
hex30e50aac30

210001112112 has 160 divisors (see below), whose sum is σ = 597973155840. Its totient is φ = 62976482560.

The previous prime is 210001112039. The next prime is 210001112141. The reversal of 210001112112 is 211211100012.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 102991189 + ... + 102993227.

It is an arithmetic number, because the mean of its divisors is an integer number (3737332224).

Almost surely, 2210001112112 is an apocalyptic number.

210001112112 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 210001112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298986577920).

210001112112 is an abundant number, since it is smaller than the sum of its proper divisors (387972043728).

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

210001112112 is a wasteful number, since it uses less digits than its factorization.

210001112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210001112112 its reverse (211211100012), we get a palindrome (421212212124).

The spelling of 210001112112 in words is "two hundred ten billion, one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 428 528 642 856 1177 1284 1712 1823 2039 2354 2568 3531 3646 4078 4708 5136 5469 6117 7062 7292 8156 9416 10938 12234 14124 14584 16312 18832 20053 21876 22429 24468 28248 29168 32624 40106 43752 44858 48936 56496 60159 67287 80212 87504 89716 97872 120318 134574 160424 179432 195061 218173 240636 269148 320848 358864 390122 436346 481272 538296 585183 654519 780244 872692 962544 1076592 1170366 1309038 1560488 1745384 2145671 2340732 2399903 2618076 3120976 3490768 3717097 4291342 4681464 4799806 5236152 6437013 7199709 7434194 8582684 9362928 9599612 10472304 11151291 12874026 14399418 14868388 17165368 19199224 22302582 25748052 28798836 29736776 34330736 38398448 40888067 44605164 51496104 57597672 59473552 81776134 89210328 102992208 115195344 122664201 163552268 178420656 245328402 327104536 397729379 490656804 654209072 795458758 981313608 1193188137 1590917516 1962627216 2386376274 3181835032 4375023169 4772752548 6363670064 8750046338 9545505096 13125069507 17500092676 19091010192 26250139014 35000185352 52500278028 70000370704 105000556056 210001112112