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3320313001000 = 235331389275339
BaseRepresentation
bin110000010100010010000…
…100111011010000101000
3102202102022022200200002121
4300110102010323100220
5413400000112013000
611021155234441024
7461612310561622
oct60242204732050
912672268620077
103320313001000
111070156146306
124575ba133174
131b1147b36a18
14b69bdb19c12
155b580399b1a
hex3051213b428

3320313001000 has 128 divisors (see below), whose sum is σ = 8040809088000. Its totient is φ = 1281973728000.

The previous prime is 3320313000937. The next prime is 3320313001003. The reversal of 3320313001000 is 1003130233.

It is a super-2 number, since 2×33203130010002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3320313001003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11921331 + ... + 12196669.

It is an arithmetic number, because the mean of its divisors is an integer number (62818821000).

Almost surely, 23320313001000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320313001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020404544000).

3320313001000 is an abundant number, since it is smaller than the sum of its proper divisors (4720496087000).

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

3320313001000 is a wasteful number, since it uses less digits than its factorization.

3320313001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275780 (or 275766 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 3320313001000 its reverse (1003130233), we get a palindrome (3321316131233).

The spelling of 3320313001000 in words is "three trillion, three hundred twenty billion, three hundred thirteen million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 389 500 620 775 778 1000 1240 1550 1556 1945 3100 3112 3875 3890 6200 7750 7780 9725 12059 15500 15560 19450 24118 31000 38900 48236 48625 60295 77800 96472 97250 120590 194500 241180 275339 301475 389000 482360 550678 602950 1101356 1205900 1376695 1507375 2202712 2411800 2753390 3014750 5506780 6029500 6883475 8535509 11013560 12059000 13766950 17071018 27533900 34142036 34417375 42677545 55067800 68284072 68834750 85355090 107106871 137669500 170710180 213387725 214213742 275339000 341420360 426775450 428427484 535534355 853550900 856854968 1066938625 1071068710 1707101800 2133877250 2142137420 2677671775 3320313001 4267754500 4284274840 5355343550 6640626002 8535509000 10710687100 13281252004 13388358875 16601565005 21421374200 26562504008 26776717750 33203130010 53553435500 66406260020 83007825025 107106871000 132812520040 166015650050 332031300100 415039125125 664062600200 830078250250 1660156500500 3320313001000