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110101000212 = 223272190132833
BaseRepresentation
bin110011010001010000…
…1111111000000010100
3101112012010110022121200
41212202201333000110
53300441324001322
6122325114312500
710645256026500
oct1464241770024
9345163408550
10110101000212
114276a165065
1219408728730
13a4c8400a48
145486795300
152ce5de88ac
hex19a287f014

110101000212 has 108 divisors (see below), whose sum is σ = 323929540116. Its totient is φ = 31439923200.

The previous prime is 110101000193. The next prime is 110101000249. The reversal of 110101000212 is 212000101011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36326835216 + 73774164996 = 190596^2 + 271614^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110101000194 and 110101000203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3336948 + ... + 3369780.

Almost surely, 2110101000212 is an apocalyptic number.

110101000212 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 110101000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161964770058).

110101000212 is an abundant number, since it is smaller than the sum of its proper divisors (213828539904).

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

110101000212 is a wasteful number, since it uses less digits than its factorization.

110101000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34758 (or 34746 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110101000212 its reverse (212000101011), we get a palindrome (322101101223).

The spelling of 110101000212 in words is "one hundred ten billion, one hundred one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 1901 3802 5703 7604 11406 13307 17109 22812 26614 32833 34218 39921 53228 65666 68436 79842 93149 98499 119763 131332 159684 186298 196998 229831 239526 279447 295497 372596 393996 459662 479052 558894 590994 689493 838341 919324 1117788 1181988 1378986 1608817 1676682 2068479 2757972 3217634 3353364 4136958 4826451 6435268 8273916 9652902 14479353 19305804 28958706 57917412 62415533 124831066 187246599 249662132 374493198 436908731 561739797 748986396 873817462 1123479594 1310726193 1747634924 2246959188 2621452386 3058361117 3932178579 5242904772 6116722234 7864357158 9175083351 12233444468 15728714316 18350166702 27525250053 36700333404 55050500106 110101000212