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211031130112 = 21511797411
BaseRepresentation
bin1100010010001001101…
…1111000000000000000
3202011201010022011012221
43010202123320000000
511424142432130422
6240540225300424
721150356003125
oct3044233700000
9664633264187
10211031130112
1181552631560
1234a95a94714
1316b91825cba
14a2dd17674c
155751b123c7
hex31226f8000

211031130112 has 128 divisors (see below), whose sum is σ = 466315603200. Its totient is φ = 94696243200.

The previous prime is 211031130071. The next prime is 211031130139.

It is a happy number.

211031130112 is nontrivially palindromic in base 10.

211031130112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2110311301123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28471687 + ... + 28479097.

It is an arithmetic number, because the mean of its divisors is an integer number (3643090650).

Almost surely, 2211031130112 is an apocalyptic number.

211031130112 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 211031130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233157801600).

211031130112 is an abundant number, since it is smaller than the sum of its proper divisors (255284473088).

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

211031130112 is an frugal number, since it uses more digits than its factorization.

211031130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7531 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 211031 and 130112, that added together give a palindrome (341143).

The spelling of 211031130112 in words is "two hundred eleven billion, thirty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 256 316 352 512 632 704 869 1024 1264 1408 1738 2048 2528 2816 3476 4096 5056 5632 6952 7411 8192 10112 11264 13904 14822 16384 20224 22528 27808 29644 32768 40448 45056 55616 59288 80896 81521 90112 111232 118576 161792 163042 180224 222464 237152 323584 326084 360448 444928 474304 585469 647168 652168 889856 948608 1170938 1294336 1304336 1779712 1897216 2341876 2588672 2608672 3559424 3794432 4683752 5217344 6440159 7118848 7588864 9367504 10434688 12880318 14237696 15177728 18735008 20869376 25760636 28475392 30355456 37470016 41738752 51521272 60710912 74940032 83477504 103042544 121421824 149880064 166955008 206085088 242843648 299760128 333910016 412170176 599520256 667820032 824340352 1199040512 1335640064 1648680704 2398081024 2671280128 3297361408 4796162048 6594722816 9592324096 13189445632 19184648192 26378891264 52757782528 105515565056 211031130112