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103020436120 = 2357254079721
BaseRepresentation
bin101111111110001111…
…1110001101010011000
3100211220200010101200011
41133330133301222120
53141441212423440
6115154341251304
710304641154500
oct1377437615230
9324820111604
10103020436120
113a7663944a8
1217b71403b34
13993a4caa54
144db4266a00
152a2e4b89ea
hex17fc7f1a98

103020436120 has 96 divisors (see below), whose sum is σ = 269717834880. Its totient is φ = 35311127040.

The previous prime is 103020436117. The next prime is 103020436121. The reversal of 103020436120 is 21634020301.

It is a super-2 number, since 2×1030204361202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103020436091 and 103020436100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103020436121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10592860 + ... + 10602580.

It is an arithmetic number, because the mean of its divisors is an integer number (2809560780).

Almost surely, 2103020436120 is an apocalyptic number.

103020436120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103020436120 is an abundant number, since it is smaller than the sum of its proper divisors (166697398760).

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

103020436120 is a wasteful number, since it uses less digits than its factorization.

103020436120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15153 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 103020436120 its reverse (21634020301), we get a palindrome (124654456421).

The spelling of 103020436120 in words is "one hundred three billion, twenty million, four hundred thirty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5407 9721 10814 19442 21628 27035 37849 38884 43256 48605 54070 68047 75698 77768 97210 108140 136094 151396 189245 194420 216280 264943 272188 302792 340235 378490 388840 476329 529886 544376 680470 756980 952658 1059772 1324715 1360940 1513960 1905316 2119544 2381645 2649430 2721880 3810632 4763290 5298860 9526580 10597720 19053160 52561447 105122894 210245788 262807235 367930129 420491576 525614470 735860258 1051228940 1471720516 1839650645 2102457880 2575510903 2943441032 3679301290 5151021806 7358602580 10302043612 12877554515 14717205160 20604087224 25755109030 51510218060 103020436120