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235013213430 = 23356188716087
BaseRepresentation
bin1101101011011111100…
…0010000110011110110
3211110121110211012212000
43122313320100303312
512322301340312210
6255544044440130
722656563232312
oct3326770206366
9743543735760
10235013213430
1190739917726
1239669549046
13192141bb248
14b53626ab42
1561a7264ac0
hex36b7e10cf6

235013213430 has 128 divisors (see below), whose sum is σ = 637733468160. Its totient is φ = 61569486720.

The previous prime is 235013213359. The next prime is 235013213453. The reversal of 235013213430 is 34312310532.

235013213430 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 13 + 213 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 235013213394 and 235013213403.

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, 14600847 + ... + 14616933.

It is an arithmetic number, because the mean of its divisors is an integer number (4982292720).

Almost surely, 2235013213430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235013213430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318866734080).

235013213430 is an abundant number, since it is smaller than the sum of its proper divisors (402720254730).

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

235013213430 is a wasteful number, since it uses less digits than its factorization.

235013213430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17051 (or 17045 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 235013213430 its reverse (34312310532), we get a palindrome (269325523962).

The spelling of 235013213430 in words is "two hundred thirty-five billion, thirteen million, two hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 887 915 1098 1647 1774 1830 2661 2745 3294 4435 5322 5490 7983 8235 8870 13305 15966 16087 16470 23949 26610 32174 39915 47898 48261 54107 79830 80435 96522 108214 119745 144783 160870 162321 239490 241305 270535 289566 324642 434349 482610 486963 541070 723915 811605 868698 973926 981307 1447830 1460889 1623210 1962614 2171745 2434815 2921778 2943921 4343490 4869630 4906535 5887842 7304445 8831763 9813070 14269169 14608890 14719605 17663526 26495289 28538338 29439210 42807507 44158815 52990578 71345845 85615014 88317630 128422521 132476445 142691690 214037535 256845042 264952890 385267563 428075070 642112605 770535126 870419309 1284225210 1740838618 1926337815 2611257927 3852675630 4352096545 5222515854 7833773781 8704193090 13056289635 15667547562 23501321343 26112579270 39168868905 47002642686 78337737810 117506606715 235013213430