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542353111100 = 225216335992683
BaseRepresentation
bin1111110010001101100…
…00111011100000111100
31220211220112001200022222
413321012300323200330
532341214344023400
61053053101224512
754120005244353
oct7710660734074
91824815050288
10542353111100
1119a013212759
1289140b62138
133c1b387c968
141c37012699a
15e193ecd185
hex7e46c3b83c

542353111100 has 72 divisors (see below), whose sum is σ = 1187437749120. Its totient is φ = 215007410880.

The previous prime is 542353111099. The next prime is 542353111147. The reversal of 542353111100 is 1111353245.

It is a self number, because there is not a number n which added to its sum of digits gives 542353111100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5805359 + ... + 5898041.

It is an arithmetic number, because the mean of its divisors is an integer number (16492190960).

Almost surely, 2542353111100 is an apocalyptic number.

542353111100 is a gapful number since it is divisible by the number (50) 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 542353111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593718874560).

542353111100 is an abundant number, since it is smaller than the sum of its proper divisors (645084638020).

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

542353111100 is a wasteful number, since it uses less digits than its factorization.

542353111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93219 (or 93212 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 542353111100 its reverse (1111353245), we get a palindrome (543464464345).

The spelling of 542353111100 in words is "five hundred forty-two billion, three hundred fifty-three million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 359 652 718 815 1436 1630 1795 3260 3590 4075 7180 8150 8975 16300 17950 35900 58517 92683 117034 185366 234068 292585 370732 463415 585170 926830 1170340 1462925 1853660 2317075 2925850 4634150 5851700 9268300 15107329 30214658 33273197 60429316 66546394 75536645 133092788 151073290 166365985 302146580 332731970 377683225 665463940 755366450 831829925 1510732900 1663659850 3327319700 5423531111 10847062222 21694124444 27117655555 54235311110 108470622220 135588277775 271176555550 542353111100