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135303205232 = 241319118728843
BaseRepresentation
bin111111000000010110…
…0110001000101110000
3110221020111211222120102
41332000230301011300
54204100110031412
6142054001131532
712526640161046
oct1760054610560
9427214758512
10135303205232
115242214a778
1222280929ba8
13c9b37b40b0
146797936396
1537bd70d8c2
hex1f80b31170

135303205232 has 80 divisors (see below), whose sum is σ = 297434712960. Its totient is φ = 59109025536.

The previous prime is 135303205211. The next prime is 135303205253. The reversal of 135303205232 is 232502303531.

It is an interprime number because it is at equal distance from previous prime (135303205211) and next prime (135303205253).

It is a junction number, because it is equal to n+sod(n) for n = 135303205195 and 135303205204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4676603 + ... + 4705445.

It is an arithmetic number, because the mean of its divisors is an integer number (3717933912).

Almost surely, 2135303205232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135303205232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148717356480).

135303205232 is an abundant number, since it is smaller than the sum of its proper divisors (162131507728).

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

135303205232 is a wasteful number, since it uses less digits than its factorization.

135303205232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30070 (or 30064 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 29.

Adding to 135303205232 its reverse (232502303531), we get a palindrome (367805508763).

The spelling of 135303205232 in words is "one hundred thirty-five billion, three hundred three million, two hundred five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1187 1976 2374 3952 4748 9496 15431 18992 22553 28843 30862 45106 57686 61724 90212 115372 123448 180424 230744 246896 293189 360848 374959 461488 548017 586378 749918 1096034 1172756 1499836 2192068 2345512 2999672 4384136 4691024 5999344 7124221 8768272 14248442 28496884 34236641 56993768 68473282 113987536 136946564 273893128 445076333 547786256 650496179 890152666 1300992358 1780305332 2601984716 3560610664 5203969432 7121221328 8456450327 10407938864 16912900654 33825801308 67651602616 135303205232