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58113212100 = 22352533654919
BaseRepresentation
bin110110000111110100…
…010011111011000100
312120000000021001022220
4312013310103323010
51423003440241400
642410303452340
74125046103226
oct660764237304
9176000231286
1058113212100
1122711436419
12b319bb70b0
1356318a1248
142b54068416
1517a1ca47a0
hexd87d13ec4

58113212100 has 72 divisors (see below), whose sum is σ = 171313410240. Its totient is φ = 15204458880.

The previous prime is 58113212099. The next prime is 58113212119. The reversal of 58113212100 is 121231185.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1811560 + ... + 1843359.

It is an arithmetic number, because the mean of its divisors is an integer number (2379352920).

Almost surely, 258113212100 is an apocalyptic number.

58113212100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58113212100 is an abundant number, since it is smaller than the sum of its proper divisors (113200198140).

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

58113212100 is a wasteful number, since it uses less digits than its factorization.

58113212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654989 (or 3654982 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 58113212100 its reverse (121231185), we get a palindrome (58234443285).

The spelling of 58113212100 in words is "fifty-eight billion, one hundred thirteen million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 3654919 7309838 10964757 14619676 18274595 21929514 36549190 43859028 54823785 73098380 91372975 109647570 182745950 193710707 219295140 274118925 365491900 387421414 548237850 581132121 774842828 968553535 1096475700 1162264242 1937107070 2324528484 2905660605 3874214140 4842767675 5811321210 9685535350 11622642420 14528303025 19371070700 29056606050 58113212100