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10241126502030 = 23251371401159281
BaseRepresentation
bin1001010100000111001010…
…1101010000111010001110
31100021001010201021201002200
42111001302231100322032
52320242311341031110
633440413014502330
72104616442654504
oct225016255207216
940231121251080
1010241126502030
113299267a19976
1211949706649a6
13593970a296a8
1427595d258674
1512b5ddc1c6c0
hex95072b50e8e

10241126502030 has 96 divisors (see below), whose sum is σ = 26823652828128. Its totient is φ = 2710793779200.

The previous prime is 10241126502029. The next prime is 10241126502041. The reversal of 10241126502030 is 3020562114201.

10241126502030 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 1 + 2 + 650 + 2 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10241126501985 and 10241126502003.

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, 172725990 + ... + 172785270.

It is an arithmetic number, because the mean of its divisors is an integer number (279413050293).

Almost surely, 210241126502030 is an apocalyptic number.

10241126502030 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 10241126502030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411826414064).

10241126502030 is an abundant number, since it is smaller than the sum of its proper divisors (16582526326098).

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

10241126502030 is a wasteful number, since it uses less digits than its factorization.

10241126502030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73442 (or 73439 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10241126502030 its reverse (3020562114201), we get a palindrome (13261688616231).

The spelling of 10241126502030 in words is "ten trillion, two hundred forty-one billion, one hundred twenty-six million, five hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 14011 28022 42033 59281 70055 84066 118562 126099 140110 177843 210165 252198 296405 355686 420330 533529 592810 630495 889215 1067058 1260990 1778430 1919507 2667645 3839014 5335290 5758521 8121497 9597535 11517042 16242994 17275563 19195070 24364491 28792605 34551126 40607485 48728982 57585210 73093473 81214970 86377815 121822455 146186946 172755630 243644910 365467365 730934730 830586091 1661172182 2491758273 4152930455 4983516546 7475274819 8305860910 12458791365 14950549638 24917582730 37376374095 74752748190 113790294467 227580588934 341370883401 568951472335 682741766802 1024112650203 1137902944670 1706854417005 2048225300406 3413708834010 5120563251015 10241126502030