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212233141332212 = 2271121310147709523
BaseRepresentation
bin110000010000011001100000…
…111111111010100011110100
31000211110021211112020221220212
4300100121200333322203310
5210304211433140112322
62031214320435244552
762463224043055040
oct6020314077724364
91024407745227825
10212233141332212
116169562a414800
121b978255749758
1391566650cca80
143a5a1d3005020
151980a0ec1d0e2
hexc10660ffa8f4

212233141332212 has 144 divisors (see below), whose sum is σ = 507426283625856. Its totient is φ = 75571882848000.

The previous prime is 212233141332211. The next prime is 212233141332239.

212233141332212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2122331413322122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212233141332211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19406318 + ... + 28303205.

Almost surely, 2212233141332212 is an apocalyptic number.

212233141332212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212233141332212 is an abundant number, since it is smaller than the sum of its proper divisors (295193142293644).

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

212233141332212 is a wasteful number, since it uses less digits than its factorization.

212233141332212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47709670 (or 47709657 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The spelling of 212233141332212 in words is "two hundred twelve trillion, two hundred thirty-three billion, one hundred forty-one million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 121 143 154 182 202 242 286 308 364 404 484 572 707 847 1001 1111 1313 1414 1573 1694 2002 2222 2626 2828 3146 3388 4004 4444 5252 6292 7777 9191 11011 12221 14443 15554 18382 22022 24442 28886 31108 36764 44044 48884 57772 85547 101101 158873 171094 202202 317746 342188 404404 635492 1112111 2224222 4448444 47709523 95419046 190838092 333966661 524804753 620223799 667933322 1049609506 1240447598 1335866644 2099219012 2480895196 3673633271 4341566593 4818661823 5772852283 6822461789 7347266542 8683133186 9637323646 11545704566 13644923578 14694533084 17366266372 19274647292 23091409132 27289847156 33730632761 40409965981 47757232523 53005280053 62642603699 67461265522 75047079679 80819931962 95514465046 106010560106 125285207398 134922531044 150094159358 161639863924 191028930092 212021120212 250570414796 300188318716 371036960371 438498225893 525329557753 583058080583 689068640689 742073920742 876996451786 1050659115506 1166116161166 1378137281378 1484147841484 1753992903572 2101318231012 2332232322332 2756274562756 4081406564081 4823480484823 7579755047579 8162813128162 9646960969646 15159510095158 16325626256324 19293921939292 30319020190316 53058285333053 106116570666106 212233141332212