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1201130010000 = 24325413345889
BaseRepresentation
bin10001011110101000111…
…011010111010110010000
311020211022211000120021200
4101132220323113112100
5124134403240310000
62315442544351200
7152531056425564
oct21365073272620
94224284016250
101201130010000
1142343a639358
12174954015500
138935c74508b
14421c66396a4
152139deed500
hex117a8ed7590

1201130010000 has 150 divisors (see below), whose sum is σ = 4200525456270. Its totient is φ = 320301312000.

The previous prime is 1201130009983. The next prime is 1201130010013. The reversal of 1201130010000 is 100311021.

It can be written as a sum of positive squares in 5 ways, for example, as 716914437264 + 484215572736 = 846708^2 + 695856^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6582945 + ... + 6762944.

Almost surely, 21201130010000 is an apocalyptic number.

1201130010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201130010000 is an abundant number, since it is smaller than the sum of its proper divisors (2999395446270).

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

1201130010000 is a wasteful number, since it uses less digits than its factorization.

1201130010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13345923 (or 13345899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1201130010000 its reverse (100311021), we get a palindrome (1201230321021).

The spelling of 1201130010000 in words is "one trillion, two hundred one billion, one hundred thirty million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 13345889 26691778 40037667 53383556 66729445 80075334 106767112 120113001 133458890 160150668 200188335 213534224 240226002 266917780 320301336 333647225 400376670 480452004 533835560 600565005 640602672 667294450 800753340 960904008 1000941675 1067671120 1201130010 1334588900 1601506680 1668236125 1921808016 2001883350 2402260020 2669177800 3002825025 3203013360 3336472250 4003766700 4804520040 5004708375 5338355600 6005650050 6672944500 8007533400 8341180625 9609040080 10009416750 12011300100 13345889000 15014125125 16015066800 16682361250 20018833500 24022600200 25023541875 26691778000 30028250250 33364722500 40037667000 48045200400 50047083750 60056500500 66729445000 75070625625 80075334000 100094167500 120113001000 133458890000 150141251250 200188335000 240226002000 300282502500 400376670000 600565005000 1201130010000