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10202232111030 = 23252334211155619
BaseRepresentation
bin1001010001110110010001…
…1010111011111110110110
31100010022202002121221000200
42110131210122323332312
52314123132410023110
633410501333021330
72102041552050531
oct224354432737666
940108662557020
1010202232111030
113283819067283
121189316a84846
135900b2a3cb4b
14273b0d849a18
1512a5b43286c0
hex947646bbfb6

10202232111030 has 96 divisors (see below), whose sum is σ = 26702948319840. Its totient is φ = 2702482030080.

The previous prime is 10202232111007. The next prime is 10202232111031. The reversal of 10202232111030 is 3011123220201.

10202232111030 is a `hidden beast` number, since 1 + 0 + 202 + 2 + 321 + 110 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10202232110994 and 10202232111012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202232111031) 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, 8250561 + ... + 9406179.

It is an arithmetic number, because the mean of its divisors is an integer number (278155711665).

Almost surely, 210202232111030 is an apocalyptic number.

10202232111030 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 10202232111030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351474159920).

10202232111030 is an abundant number, since it is smaller than the sum of its proper divisors (16500716208810).

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

10202232111030 is a wasteful number, since it uses less digits than its factorization.

10202232111030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156286 (or 1156283 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10202232111030 its reverse (3011123220201), we get a palindrome (13213355331231).

It can be divided in two parts, 1020223 and 2111030, that added together give a triangular number (3131253 = T2502).

The spelling of 10202232111030 in words is "ten trillion, two hundred two billion, two hundred thirty-two million, one hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 233 421 466 699 842 1165 1263 1398 2097 2105 2330 2526 3495 3789 4194 4210 6315 6990 7578 10485 12630 18945 20970 37890 98093 196186 294279 490465 588558 882837 980930 1155619 1471395 1765674 2311238 2942790 3466857 4414185 5778095 6933714 8828370 10400571 11556190 17334285 20801142 34668570 52002855 104005710 269259227 486515599 538518454 807777681 973031198 1346296135 1459546797 1615555362 2423333043 2432577995 2692592270 2919093594 4038888405 4378640391 4846666086 4865155990 7297733985 8077776810 8757280782 12116665215 14595467970 21893201955 24233330430 43786403910 113358134567 226716269134 340074403701 566790672835 680148807402 1020223211103 1133581345670 1700372018505 2040446422206 3400744037010 5101116055515 10202232111030