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1312302212130 = 2357131123428047
BaseRepresentation
bin10011000110001011010…
…011101010010000100010
311122110021121010120200110
4103012023103222100202
5133000043331242010
62442510250432150
7163545033520140
oct23061323522042
94573247116613
101312302212130
114665a9429258
121923bb432656
1396998a528c0
1447731394590
1524208e90120
hex1318b4ea422

1312302212130 has 128 divisors (see below), whose sum is σ = 3879799676928. Its totient is φ = 276634144512.

The previous prime is 1312302212129. The next prime is 1312302212147. The reversal of 1312302212130 is 312122032131.

It is a super-2 number, since 2×13123022121302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1312302212097 and 1312302212106.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2851767 + ... + 3279813.

It is an arithmetic number, because the mean of its divisors is an integer number (30310934976).

Almost surely, 21312302212130 is an apocalyptic number.

1312302212130 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 1312302212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939899838464).

1312302212130 is an abundant number, since it is smaller than the sum of its proper divisors (2567497464798).

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

1312302212130 is a wasteful number, since it uses less digits than its factorization.

1312302212130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429200.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1312302212130 its reverse (312122032131), we get a palindrome (1624424244261).

The spelling of 1312302212130 in words is "one trillion, three hundred twelve billion, three hundred two million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1123 1365 2246 2730 3369 5615 6738 7861 11230 14599 15722 16845 23583 29198 33690 39305 43797 47166 72995 78610 87594 102193 117915 145990 204386 218985 235830 306579 428047 437970 510965 613158 856094 1021930 1284141 1532895 2140235 2568282 2996329 3065790 4280470 5564611 5992658 6420705 8988987 11129222 12841410 14981645 16693833 17977974 27823055 29963290 33387666 38952277 44944935 55646110 77904554 83469165 89889870 116856831 166938330 194761385 233713662 389522770 480696781 584284155 961393562 1168568310 1442090343 2403483905 2884180686 3364877467 4806967810 6249058153 6729754934 7210451715 10094632401 12498116306 14420903430 16824387335 18747174459 20189264802 31245290765 33648774670 37494348918 43743407071 50473162005 62490581530 87486814142 93735872295 100946324010 131230221213 187471744590 218717035355 262460442426 437434070710 656151106065 1312302212130