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110140212 = 223713172349
BaseRepresentation
bin1101001000010…
…01101100110100
321200020200222010
412210021230310
5211143441322
614532404220
72505114330
oct644115464
9250220863
10110140212
1157197a76
1230a76670
1319a84130
14108b07c0
159a0920c
hex6909b34

110140212 has 144 divisors (see below), whose sum is σ = 336963200. Its totient is φ = 27260928.

The previous prime is 110140193. The next prime is 110140267. The reversal of 110140212 is 212041011.

It is a happy number.

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

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, 315414 + ... + 315762.

Almost surely, 2110140212 is an apocalyptic number.

110140212 is a gapful number since it is divisible by the number (12) 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 110140212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168481600).

110140212 is an abundant number, since it is smaller than the sum of its proper divisors (226822988).

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

110140212 is a wasteful number, since it uses less digits than its factorization.

110140212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 110140212 is about 10494.7706978285. The cubic root of 110140212 is about 479.3454794393.

Adding to 110140212 its reverse (212041011), we get a palindrome (322181223).

The spelling of 110140212 in words is "one hundred ten million, one hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 289 349 357 364 442 476 546 578 663 698 714 867 884 1047 1092 1156 1326 1396 1428 1547 1734 2023 2094 2443 2652 3094 3468 3757 4046 4188 4537 4641 4886 5933 6069 6188 7329 7514 8092 9074 9282 9772 11271 11866 12138 13611 14658 15028 17799 18148 18564 22542 23732 24276 26299 27222 29316 31759 35598 41531 45084 52598 54444 63518 71196 77129 78897 83062 95277 100861 105196 124593 127036 154258 157794 166124 190554 201722 231387 249186 302583 308516 315588 381108 403444 462774 498372 539903 605166 706027 925548 1079806 1210332 1311193 1412054 1619709 2118081 2159612 2622386 2824108 3239418 3933579 4236162 5244772 6478836 7867158 8472324 9178351 15734316 18356702 27535053 36713404 55070106 110140212