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211111200102 = 231121016534409
BaseRepresentation
bin1100010010011100110…
…1010100010101100110
3202011220200222010121010
43010213031110111212
511424323431400402
6240552205403050
721152350410255
oct3044715242546
9664820863533
10211111200102
1181593850300
1234ab8869486
1316ba52ac1aa
14a309a5a79c
155758b7ba6c
hex3127354566

211111200102 has 96 divisors (see below), whose sum is σ = 469514918880. Its totient is φ = 63228352000.

The previous prime is 211111200043. The next prime is 211111200121. The reversal of 211111200102 is 201002111112.

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, 47879674 + ... + 47884082.

It is an arithmetic number, because the mean of its divisors is an integer number (4890780405).

Almost surely, 2211111200102 is an apocalyptic number.

211111200102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211111200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234757459440).

211111200102 is an abundant number, since it is smaller than the sum of its proper divisors (258403718778).

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

211111200102 is a wasteful number, since it uses less digits than its factorization.

211111200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5179 counting only the distinct ones).

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

Adding to 211111200102 its reverse (201002111112), we get a palindrome (412113311214).

The spelling of 211111200102 in words is "two hundred eleven billion, one hundred eleven million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 653 726 1111 1306 1959 2222 3333 3918 4409 6666 7183 8818 12221 13227 14366 21549 24442 26454 36663 43098 48499 65953 73326 79013 96998 131906 145497 158026 197859 237039 290994 395718 445309 474078 533489 725483 890618 1066978 1335927 1450966 1600467 2176449 2671854 2879077 3200934 4352898 4898399 5758154 7980313 8637231 9796798 14695197 15960626 17274462 23940939 29390394 31669847 47881878 53882389 63339694 95009541 107764778 161647167 190019082 290786777 323294334 348368317 581573554 696736634 872360331 1045104951 1744720662 2090209902 3198654547 6397309094 9595963641 19191927282 35185200017 70370400034 105555600051 211111200102