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1030022311200 = 25352429175963
BaseRepresentation
bin11101111110100100001…
…11010010110100100000
310122110200000200212001220
432333102013102310200
5113333441202424300
62105104040455040
7134262625121061
oct16772207226440
93573600625056
101030022311200
11367914818733
1214776047a480
137619117301c
1437bd381c568
151bbd72eada0
hexefd21d2d20

1030022311200 has 72 divisors (see below), whose sum is σ = 3352722630768. Its totient is φ = 274672615680.

The previous prime is 1030022311067. The next prime is 1030022311217. The reversal of 1030022311200 is 21132200301.

1030022311200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10300223112003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1030022311200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214585582 + ... + 214590381.

It is an arithmetic number, because the mean of its divisors is an integer number (46565592094).

Almost surely, 21030022311200 is an apocalyptic number.

1030022311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030022311200 is an abundant number, since it is smaller than the sum of its proper divisors (2322700319568).

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

1030022311200 is a wasteful number, since it uses less digits than its factorization.

1030022311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429175986 (or 429175973 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1030022311200 its reverse (21132200301), we get a palindrome (1051154511501).

The spelling of 1030022311200 in words is "one trillion, thirty billion, twenty-two million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 429175963 858351926 1287527889 1716703852 2145879815 2575055778 3433407704 4291759630 5150111556 6437639445 6866815408 8583519260 10300223112 10729399075 12875278890 13733630816 17167038520 20600446224 21458798150 25750557780 32188197225 34334077040 41200892448 42917596300 51501115560 64376394450 68668154080 85835192600 103002231120 128752788900 171670385200 206004462240 257505577800 343340770400 515011155600 1030022311200