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120102110010 = 232523122347441
BaseRepresentation
bin110111111011010100…
…1001100001100111010
3102111000010022100002200
41233312221030030322
53431432120010020
6131101341011030
711451146043141
oct1576651141472
9374003270080
10120102110010
1146a31567963
121b339b53a76
13b4303b93ac
145b54b26758
1531cde25590
hex1bf6a4c33a

120102110010 has 96 divisors (see below), whose sum is σ = 326115548928. Its totient is φ = 30609047040.

The previous prime is 120102109999. The next prime is 120102110039. The reversal of 120102110010 is 10011201021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120102109974 and 120102110001.

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, 2507890 + ... + 2555330.

It is an arithmetic number, because the mean of its divisors is an integer number (3397036968).

Almost surely, 2120102110010 is an apocalyptic number.

120102110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120102110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163057774464).

120102110010 is an abundant number, since it is smaller than the sum of its proper divisors (206013438918).

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

120102110010 is a wasteful number, since it uses less digits than its factorization.

120102110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48700 (or 48697 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120102110010 its reverse (10011201021), we get a palindrome (130113311031).

The spelling of 120102110010 in words is "one hundred twenty billion, one hundred two million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1223 2070 2446 3669 6115 7338 11007 12230 18345 22014 28129 36690 47441 55035 56258 84387 94882 110070 140645 142323 168774 237205 253161 281290 284646 421935 426969 474410 506322 711615 843870 853938 1091143 1265805 1423230 2134845 2182286 2531610 3273429 4269690 5455715 6546858 9820287 10911430 16367145 19640574 32734290 49101435 58020343 98202870 116040686 174061029 290101715 348122058 522183087 580203430 870305145 1044366174 1334467889 1740610290 2610915435 2668935778 4003403667 5221830870 6672339445 8006807334 12010211001 13344678890 20017018335 24020422002 40034036670 60051055005 120102110010