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1033211311230 = 235723343348767
BaseRepresentation
bin11110000100100000011…
…00010111010001111110
310122202220021100211201010
433002100030113101332
5113412004043424410
62110352320100050
7134434640145210
oct17022014272176
93582807324633
101033211311230
1136920093864a
121482b0464626
137657ba5caa7
14380171825b0
151bd22274c20
hexf09031747e

1033211311230 has 128 divisors (see below), whose sum is σ = 2852745412608. Its totient is φ = 234601132032.

The previous prime is 1033211311169. The next prime is 1033211311259. The reversal of 1033211311230 is 321131123301.

It is a happy number.

It is a super-2 number, since 2×10332113112302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1033211311197 and 1033211311206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21162307 + ... + 21211073.

It is an arithmetic number, because the mean of its divisors is an integer number (22287073536).

Almost surely, 21033211311230 is an apocalyptic number.

1033211311230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033211311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426372706304).

1033211311230 is an abundant number, since it is smaller than the sum of its proper divisors (1819534101378).

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

1033211311230 is a wasteful number, since it uses less digits than its factorization.

1033211311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49450.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1033211311230 its reverse (321131123301), we get a palindrome (1354342434531).

The spelling of 1033211311230 in words is "one trillion, thirty-three billion, two hundred eleven million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 233 433 466 699 866 1165 1299 1398 1631 2165 2330 2598 3031 3262 3495 4330 4893 6062 6495 6990 8155 9093 9786 12990 15155 16310 18186 24465 30310 45465 48767 48930 90930 97534 100889 146301 201778 243835 292602 302667 341369 487670 504445 605334 682738 706223 731505 1008890 1024107 1412446 1463010 1513335 1706845 2048214 2118669 3026670 3413690 3531115 4237338 5120535 7062230 10241070 10593345 11362711 21116111 21186690 22725422 34088133 42232222 56813555 63348333 68176266 79538977 105580555 113627110 126696666 147812777 159077954 170440665 211161110 238616931 295625554 316741665 340881330 397694885 443438331 477233862 633483330 739063885 795389770 886876662 1193084655 1478127770 2217191655 2386169310 4434383310 4920053863 9840107726 14760161589 24600269315 29520323178 34440377041 49200538630 68880754082 73800807945 103321131123 147601615890 172201885205 206642262246 344403770410 516605655615 1033211311230