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1002200020310 = 2519291074194057
BaseRepresentation
bin11101001010101111100…
…01101011010101010110
310112210212001011000222202
432211113301223111112
5112410001201122220
62044223200324502
7132256310421266
oct16452761532526
93483761130882
101002200020310
113570378697a5
12142296913732
13736790064c8
14367146cb7a6
151b109989275
hexe957c6b556

1002200020310 has 128 divisors (see below), whose sum is σ = 1987965504000. Its totient is φ = 362301907968.

The previous prime is 1002200020259. The next prime is 1002200020337. The reversal of 1002200020310 is 130200022001.

It is a happy number.

It is a super-2 number, since 2×10022000203102 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002200020291 and 1002200020300.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 247027802 + ... + 247031858.

It is an arithmetic number, because the mean of its divisors is an integer number (15530980500).

Almost surely, 21002200020310 is an apocalyptic number.

1002200020310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002200020310 is a deficient number, since it is larger than the sum of its proper divisors (985765483690).

1002200020310 is a wasteful number, since it uses less digits than its factorization.

1002200020310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1002200020310 its reverse (130200022001), we get a palindrome (1132400042311).

The spelling of 1002200020310 in words is "one trillion, two billion, two hundred million, twenty thousand, three hundred ten".

Divisors: 1 2 5 10 19 29 38 58 95 107 145 190 214 290 419 535 551 838 1070 1102 2033 2095 2755 3103 4057 4066 4190 5510 6206 7961 8114 10165 12151 15515 15922 20285 20330 24302 31030 39805 40570 44833 58957 60755 77083 79610 89666 117653 117914 121510 154166 224165 230869 235306 294785 385415 434099 448330 461738 588265 589570 770830 851827 868198 1154345 1176530 1300157 1699883 1703654 2170495 2235407 2308690 2600314 3399766 4259135 4340990 4470814 6500785 8247881 8499415 8518270 11177035 12588871 13001570 16495762 16998830 22354070 24702983 25177742 32297777 41239405 49296607 49405966 62944355 64595554 82478810 98593214 123514915 125888710 161488885 181887481 239188549 246483035 247029830 322977770 363774962 478377098 492966070 909437405 936635533 1195942745 1818874810 1873271066 2391885490 3455862139 4683177665 5274736949 6911724278 9366355330 10549473898 17279310695 26373684745 34558621390 52747369490 100220002031 200440004062 501100010155 1002200020310