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1010241301420 = 2251322411240199
BaseRepresentation
bin11101011001101110001…
…00101110101110101100
310120120121110020102221001
432230313010232232230
5113022433233121140
62052033133050044
7132662502243451
oct16546704565654
93516543212831
101010241301420
1135a49397226a
1214395b926924
137435ac71300
1436c7865d828
151b42a8dae9a
hexeb3712ebac

1010241301420 has 72 divisors (see below), whose sum is σ = 2306786882400. Its totient is φ = 371464104960.

The previous prime is 1010241301411. The next prime is 1010241301427. The reversal of 1010241301420 is 241031420101.

It is not an unprimeable number, because it can be changed into a prime (1010241301427) 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 23 ways as a sum of consecutive naturals, for example, 194481 + ... + 1434679.

It is an arithmetic number, because the mean of its divisors is an integer number (32038706700).

Almost surely, 21010241301420 is an apocalyptic number.

1010241301420 is a gapful number since it is divisible by the number (10) 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 1010241301420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153393441200).

1010241301420 is an abundant number, since it is smaller than the sum of its proper divisors (1296545580980).

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

1010241301420 is a wasteful number, since it uses less digits than its factorization.

1010241301420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240475 (or 1240460 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1010241301420 its reverse (241031420101), we get a palindrome (1251272721521).

The spelling of 1010241301420 in words is "one trillion, ten billion, two hundred forty-one million, three hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 241 260 338 482 676 845 964 1205 1690 2410 3133 3380 4820 6266 12532 15665 31330 40729 62660 81458 162916 203645 407290 814580 1240199 2480398 4960796 6200995 12401990 16122587 24803980 32245174 64490348 80612935 161225870 209593631 298887959 322451740 419187262 597775918 838374524 1047968155 1195551836 1494439795 2095936310 2988879590 3885543467 4191872620 5977759180 7771086934 15542173868 19427717335 38855434670 50512065071 77710869340 101024130142 202048260284 252560325355 505120650710 1010241301420