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10830000120 = 2335293112069
BaseRepresentation
bin10100001011000010…
…01010111111111000
31000221202120000020120
422011201022333320
5134134440000440
64550352253240
7532243324242
oct120541127770
930852500216
1010830000120
114658286425
122122b41220
1310379453c4
1474a49b092
15435baddd0
hex28584aff8

10830000120 has 64 divisors (see below), whose sum is σ = 33610356000. Its totient is φ = 2788412928.

The previous prime is 10830000119. The next prime is 10830000121. The reversal of 10830000120 is 2100003801.

It is a happy number.

10830000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10830000119) and next prime (10830000121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10830000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10830000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552555 + ... + 1559514.

Almost surely, 210830000120 is an apocalyptic number.

10830000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10830000120 is an abundant number, since it is smaller than the sum of its proper divisors (22780355880).

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

10830000120 is a wasteful number, since it uses less digits than its factorization.

10830000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112112 (or 3112108 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10830000120 its reverse (2100003801), we get a palindrome (12930003921).

The spelling of 10830000120 in words is "ten billion, eight hundred thirty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 3112069 6224138 9336207 12448276 15560345 18672414 24896552 31120690 37344828 46681035 62241380 74689656 90250001 93362070 124482760 180500002 186724140 270750003 361000004 373448280 451250005 541500006 722000008 902500010 1083000012 1353750015 1805000020 2166000024 2707500030 3610000040 5415000060 10830000120