Search a number
-
+
1353543113010 = 2351167720872903
BaseRepresentation
bin10011101100100101011…
…101001101100100110010
311210101201202011102011210
4103230211131031210302
5134134024014104020
62513450434220550
7166535026425564
oct23544535154462
94711652142153
101353543113010
11482041889510
1219a3aaa24756
139a83bc1a22a
144972469b334
152531e8913e0
hex13b2574d932

1353543113010 has 128 divisors (see below), whose sum is σ = 3551980253184. Its totient is φ = 327377173760.

The previous prime is 1353543112993. The next prime is 1353543113011. The reversal of 1353543113010 is 103113453531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1353543113011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466255219 + ... + 466258121.

It is an arithmetic number, because the mean of its divisors is an integer number (27749845728).

Almost surely, 21353543113010 is an apocalyptic number.

1353543113010 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 1353543113010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775990126592).

1353543113010 is an abundant number, since it is smaller than the sum of its proper divisors (2198437140174).

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

1353543113010 is a wasteful number, since it uses less digits than its factorization.

1353543113010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688.

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 1353543113010 its reverse (103113453531), we get a palindrome (1456656566541).

The spelling of 1353543113010 in words is "one trillion, three hundred fifty-three billion, five hundred forty-three million, one hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 677 1354 2031 2087 2903 3385 4062 4174 5806 6261 6770 7447 8709 10155 10435 12522 14515 14894 17418 20310 20870 22341 22957 29030 31305 31933 37235 43545 44682 45914 62610 63866 68871 74470 87090 95799 111705 114785 137742 159665 191598 223410 229570 319330 344355 478995 688710 957990 1412899 1965331 2825798 3930662 4238697 5895993 6058561 7064495 8477394 9826655 11791986 12117122 14128990 15541889 18175683 19653310 21193485 21618641 29479965 30292805 31083778 36351366 42386970 43237282 46625667 58959930 60585610 64855923 66644171 77709445 90878415 93251334 108093205 129711846 133288342 155418890 181756830 199932513 216186410 233128335 324279615 333220855 399865026 466256670 648559230 666441710 999662565 1999325130 4101645797 8203291594 12304937391 20508228985 24609874782 41016457970 45118103767 61524686955 90236207534 123049373910 135354311301 225590518835 270708622602 451181037670 676771556505 1353543113010