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201011110212 = 22311101145110391
BaseRepresentation
bin1011101100110100110…
…0100010000101000100
3201012211210212101221210
42323031030202011010
511243132321011322
6232202045411420
720344146150123
oct2731514420504
9635753771853
10201011110212
1178280593280
1232b5a269b70
1315c55949343
149a2c4c1aba
1553670ec70c
hex2ecd322144

201011110212 has 96 divisors (see below), whose sum is σ = 517136514048. Its totient is φ = 60262000000.

The previous prime is 201011110211. The next prime is 201011110213. The reversal of 201011110212 is 212011110102.

It is an interprime number because it is at equal distance from previous prime (201011110211) and next prime (201011110213).

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

It is not an unprimeable number, because it can be changed into a prime (201011110211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19339537 + ... + 19349927.

It is an arithmetic number, because the mean of its divisors is an integer number (5386838688).

Almost surely, 2201011110212 is an apocalyptic number.

201011110212 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 201011110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258568257024).

201011110212 is an abundant number, since it is smaller than the sum of its proper divisors (316125403836).

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

201011110212 is a wasteful number, since it uses less digits than its factorization.

201011110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11961 (or 11959 counting only the distinct ones).

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

Adding to 201011110212 its reverse (212011110102), we get a palindrome (413022220314).

The spelling of 201011110212 in words is "two hundred one billion, eleven million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 1451 2222 2902 3333 4353 4444 5804 6666 8706 10391 13332 15961 17412 20782 31173 31922 41564 47883 62346 63844 95766 114301 124692 146551 191532 228602 293102 342903 439653 457204 586204 685806 879306 1049491 1371612 1612061 1758612 2098982 3148473 3224122 4197964 4836183 6296946 6448244 9672366 11544401 12593892 15077341 19344732 23088802 30154682 34633203 45232023 46177604 60309364 69266406 90464046 138532812 165850751 180928092 331701502 497552253 663403004 995104506 1522811441 1990209012 3045622882 4568434323 6091245764 9136868646 16750925851 18273737292 33501851702 50252777553 67003703404 100505555106 201011110212