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135322223430 = 235173715745677
BaseRepresentation
bin111111000000111010…
…1010100001101000110
3110221021211122012122010
41332001311110031012
54204114442122210
6142055520515050
712530260630512
oct1760165241506
9427254565563
10135322223430
115243195a399
122228717ba86
13c9b7712674
14679a287142
1537c0218920
hex1f81d54346

135322223430 has 128 divisors (see below), whose sum is σ = 355428922752. Its totient is φ = 32834101248.

The previous prime is 135322223429. The next prime is 135322223507. The reversal of 135322223430 is 34322223531.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2939752 + ... + 2985428.

It is an arithmetic number, because the mean of its divisors is an integer number (2776788459).

Almost surely, 2135322223430 is an apocalyptic number.

135322223430 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 135322223430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177714461376).

135322223430 is an abundant number, since it is smaller than the sum of its proper divisors (220106699322).

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

135322223430 is a wasteful number, since it uses less digits than its factorization.

135322223430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45898.

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 135322223430 its reverse (34322223531), we get a palindrome (169644446961).

The spelling of 135322223430 in words is "one hundred thirty-five billion, three hundred twenty-two million, two hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 157 170 185 222 255 314 370 471 510 555 629 785 942 1110 1258 1570 1887 2355 2669 3145 3774 4710 5338 5809 6290 8007 9435 11618 13345 16014 17427 18870 26690 29045 34854 40035 45677 58090 80070 87135 91354 98753 137031 174270 197506 228385 274062 296259 456770 493765 592518 685155 776509 987530 1370310 1481295 1553018 1690049 2329527 2962590 3380098 3882545 4659054 5070147 7171289 7765090 8450245 10140294 11647635 14342578 16900490 21513867 23295270 25350735 28730833 35856445 43027734 50701470 57461666 71712890 86192499 107569335 121911913 143654165 172384998 215138670 243823826 265337693 287308330 365735739 430962495 530675386 609559565 731471478 796013079 861924990 1219119130 1326688465 1592026158 1828678695 2653376930 3657357390 3980065395 4510740781 7960130790 9021481562 13532222343 22553703905 27064444686 45107407810 67661111715 135322223430