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2031022201120 = 255116118917867
BaseRepresentation
bin11101100011100010010…
…110110101100100100000
321012011102102120221122221
4131203202112311210200
5231234013140413440
64153012210240424
7266510423602063
oct35434226654440
97164372527587
102031022201120
117133960a1730
12289761286114
131196a863a8b3
14704329848da
1537c71720d4a
hex1d8e25b5920

2031022201120 has 96 divisors (see below), whose sum is σ = 5320309853376. Its totient is φ = 726446054400.

The previous prime is 2031022201081. The next prime is 2031022201121. The reversal of 2031022201120 is 211022201302.

It is a happy number.

It is a super-3 number, since 3×20310222011203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2031022201094 and 2031022201103.

It is not an unprimeable number, because it can be changed into a prime (2031022201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9351574 + ... + 9566293.

It is an arithmetic number, because the mean of its divisors is an integer number (55419894306).

Almost surely, 22031022201120 is an apocalyptic number.

2031022201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031022201120 is an abundant number, since it is smaller than the sum of its proper divisors (3289287652256).

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

2031022201120 is a wasteful number, since it uses less digits than its factorization.

2031022201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18917954 (or 18917946 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2031022201120 its reverse (211022201302), we get a palindrome (2242044402422).

The spelling of 2031022201120 in words is "two trillion, thirty-one billion, twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 80 88 110 122 160 176 220 244 305 352 440 488 610 671 880 976 1220 1342 1760 1952 2440 2684 3355 4880 5368 6710 9760 10736 13420 21472 26840 53680 107360 18917867 37835734 75671468 94589335 151342936 189178670 208096537 302685872 378357340 416193074 605371744 756714680 832386148 1040482685 1153989887 1513429360 1664772296 2080965370 2307979774 3026858720 3329544592 4161930740 4615959548 5769949435 6659089184 8323861480 9231919096 11539898870 12693888757 16647722960 18463838192 23079797740 25387777514 33295445920 36927676384 46159595480 50775555028 63469443785 92319190960 101551110056 126938887570 184638381920 203102220112 253877775140 406204440224 507755550280 1015511100560 2031022201120