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135454523100 = 223521367518387
BaseRepresentation
bin111111000100110110…
…1111111111011011100
3110221122001120201122220
41332021231333323130
54204402324214400
6142121004305340
712533455310031
oct1761155777334
9427561521586
10135454523100
115249a602066
1222303542250
13ca08c54ab0
1467ada85388
1537cbb4d7a0
hex1f89b7fedc

135454523100 has 144 divisors (see below), whose sum is σ = 428362666368. Its totient is φ = 32844936960.

The previous prime is 135454523089. The next prime is 135454523119. The reversal of 135454523100 is 1325454531.

It is a super-2 number, since 2×1354545231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2107 + ... + 520493.

Almost surely, 2135454523100 is an apocalyptic number.

135454523100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135454523100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214181333184).

135454523100 is an abundant number, since it is smaller than the sum of its proper divisors (292908143268).

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

135454523100 is a wasteful number, since it uses less digits than its factorization.

135454523100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518484 (or 518477 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 135454523100 its reverse (1325454531), we get a palindrome (136779977631).

The spelling of 135454523100 in words is "one hundred thirty-five billion, four hundred fifty-four million, five hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 67 75 78 100 130 134 150 156 195 201 260 268 300 325 335 390 402 650 670 780 804 871 975 1005 1300 1340 1675 1742 1950 2010 2613 3350 3484 3900 4020 4355 5025 5226 6700 8710 10050 10452 13065 17420 20100 21775 26130 43550 52260 65325 87100 130650 261300 518387 1036774 1555161 2073548 2591935 3110322 5183870 6220644 6739031 7775805 10367740 12959675 13478062 15551610 20217093 25919350 26956124 31103220 33695155 34731929 38879025 40434186 51838700 67390310 69463858 77758050 80868372 101085465 104195787 134780620 138927716 155516100 168475775 173659645 202170930 208391574 336951550 347319290 404341860 416783148 451515077 505427325 520978935 673903100 694638580 868298225 903030154 1010854650 1041957870 1354545231 1736596450 1806060308 2021709300 2083915740 2257575385 2604894675 2709090462 3473192900 4515150770 5209789350 5418180924 6772726155 9030301540 10419578700 11287876925 13545452310 22575753850 27090904620 33863630775 45151507700 67727261550 135454523100