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211231355412 = 2237211271912011
BaseRepresentation
bin1100010010111001011…
…1101011001000010100
3202012020002001122200210
43010232113223020110
511430100211333122
6241012141005420
721155336616300
oct3045627531024
9665202048623
10211231355412
1181645658810
1234b30b53870
1316bc415b9cc
14a31b9b6d00
1557644b340c
hex312e5eb214

211231355412 has 144 divisors (see below), whose sum is σ = 625746401280. Its totient is φ = 54840542400.

The previous prime is 211231355411. The next prime is 211231355441. The reversal of 211231355412 is 214553132112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 211231355412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211231355411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17580487 + ... + 17592497.

It is an arithmetic number, because the mean of its divisors is an integer number (4345461120).

Almost surely, 2211231355412 is an apocalyptic number.

211231355412 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 211231355412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312873200640).

211231355412 is an abundant number, since it is smaller than the sum of its proper divisors (414515045868).

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

211231355412 is a wasteful number, since it uses less digits than its factorization.

211231355412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762 (or 14753 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

Adding to 211231355412 its reverse (214553132112), we get a palindrome (425784487524).

The spelling of 211231355412 in words is "two hundred eleven billion, two hundred thirty-one million, three hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 2719 3234 5438 6468 8157 10876 12011 16314 19033 24022 29909 32628 36033 38066 48044 57099 59818 72066 76132 84077 89727 114198 119636 132121 133231 144132 168154 179454 209363 228396 252231 264242 266462 336308 358908 396363 399693 418726 504462 528484 532924 588539 628089 792726 799386 837452 924847 1008924 1177078 1256178 1465541 1585452 1598772 1765617 1849694 2354156 2512356 2774541 2931082 3531234 3699388 4396623 5549082 5862164 6473929 7062468 8793246 11098164 12947858 17586492 19421787 25895716 32657909 38843574 65315818 77687148 97973727 130631636 195947454 228605363 359236999 391894908 457210726 685816089 718473998 914421452 1077710997 1371632178 1436947996 1600237541 2155421994 2514658993 2743264356 3200475082 4310843988 4800712623 5029317986 6400950164 7543976979 9601425246 10058635972 15087953958 17602612951 19202850492 30175907916 35205225902 52807838853 70410451804 105615677706 211231355412