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5342221134 = 23317311311433
BaseRepresentation
bin1001111100110101…
…11101001101001110
3111210022022221201000
410332122331031032
541420102034014
62242034201130
7246246062505
oct47632751516
914708287630
105342221134
1122a15a9898
1210511231a6
13671a201c3
1438970583c
15214005509
hex13e6bd34e

5342221134 has 128 divisors (see below), whose sum is σ = 13083586560. Its totient is φ = 1608422400.

The previous prime is 5342221099. The next prime is 5342221193. The reversal of 5342221134 is 4311222435.

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

It is a junction number, because it is equal to n+sod(n) for n = 5342221098 and 5342221107.

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, 3727282 + ... + 3728714.

It is an arithmetic number, because the mean of its divisors is an integer number (102215520).

Almost surely, 25342221134 is an apocalyptic number.

5342221134 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5342221134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541793280).

5342221134 is an abundant number, since it is smaller than the sum of its proper divisors (7741365426).

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

5342221134 is a wasteful number, since it uses less digits than its factorization.

5342221134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1617 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5342221134 is about 73090.4996152031. The cubic root of 5342221134 is about 1748.1309169856.

Adding to 5342221134 its reverse (4311222435), we get a palindrome (9653443569).

The spelling of 5342221134 in words is "five billion, three hundred forty-two million, two hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 131 153 186 262 279 306 393 459 527 558 786 837 918 1054 1179 1433 1581 1674 2227 2358 2866 3162 3537 4061 4299 4454 4743 6681 7074 8122 8598 9486 12183 12897 13362 14229 20043 24361 24366 25794 28458 36549 38691 40086 44423 48722 60129 69037 73083 73098 77382 88846 109647 120258 133269 138074 146166 187723 207111 219249 219294 266538 375446 399807 414222 438498 563169 621333 657747 755191 799614 1126338 1199421 1242666 1315494 1510382 1689507 1863999 2265573 2398842 3191291 3379014 3727998 4531146 5068521 5819413 6382582 6796719 9573873 10137042 11638826 13593438 17458239 19147746 20390157 28721619 34916478 40780314 52374717 57443238 86164857 98930021 104749434 157124151 172329714 197860042 296790063 314248302 593580126 890370189 1780740378 2671110567 5342221134