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1201302020000 = 2554389154409
BaseRepresentation
bin10001011110110011001…
…011100001111110100000
311020211202210200120122102
4101132303023201332200
5124140231304120000
62315512011225532
7152535245455505
oct21366313417640
94224683616572
101201302020000
11423518743a85
121749a17482a8
138938927c244
14422014134ac
15213ae1793d5
hex117b32e1fa0

1201302020000 has 120 divisors (see below), whose sum is σ = 2962999739700. Its totient is φ = 479282432000.

The previous prime is 1201302019991. The next prime is 1201302020021. The reversal of 1201302020000 is 202031021.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 333848217616 + 867453802384 = 577796^2 + 931372^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7702796 + ... + 7857204.

Almost surely, 21201302020000 is an apocalyptic number.

1201302020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201302020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481499869850).

1201302020000 is an abundant number, since it is smaller than the sum of its proper divisors (1761697719700).

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

1201302020000 is an equidigital number, since it uses as much as digits as its factorization.

1201302020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154828 (or 154805 counting only the distinct ones).

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

Adding to 1201302020000 its reverse (202031021), we get a palindrome (1201504051021).

The spelling of 1201302020000 in words is "one trillion, two hundred one billion, three hundred two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 389 400 500 625 778 800 1000 1250 1556 1945 2000 2500 3112 3890 4000 5000 6224 7780 9725 10000 12448 15560 19450 20000 31120 38900 48625 62240 77800 97250 154409 155600 194500 243125 308818 311200 389000 486250 617636 772045 778000 972500 1235272 1544090 1556000 1945000 2470544 3088180 3860225 3890000 4941088 6176360 7720450 7780000 12352720 15440900 19301125 24705440 30881800 38602250 60065101 61763600 77204500 96505625 120130202 123527200 154409000 193011250 240260404 300325505 308818000 386022500 480520808 600651010 617636000 772045000 961041616 1201302020 1501627525 1544090000 1922083232 2402604040 3003255050 3088180000 4805208080 6006510100 7508137625 9610416160 12013020200 15016275250 24026040400 30032550500 37540688125 48052080800 60065101000 75081376250 120130202000 150162752500 240260404000 300325505000 600651010000 1201302020000