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2120013222300 = 2232523175986137
BaseRepresentation
bin11110110110011010101…
…000101001000110011100
321111200010100220020001100
4132312122220221012130
5234213241341103200
64301530504513100
7306110622030321
oct36663250510634
97450110806040
102120013222300
11748102217026
122a2a5817b790
13124bbb3cab8c
1474875878b48
153a22e1e5d00
hex1ed9aa2919c

2120013222300 has 108 divisors (see below), whose sum is σ = 6859420649536. Its totient is φ = 547100179200.

The previous prime is 2120013222287. The next prime is 2120013222307. The reversal of 2120013222300 is 32223100212.

2120013222300 is a `hidden beast` number, since 21 + 20 + 0 + 1 + 322 + 2 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120013222307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37965169 + ... + 38020968.

Almost surely, 22120013222300 is an apocalyptic number.

2120013222300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120013222300 is an abundant number, since it is smaller than the sum of its proper divisors (4739407427236).

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

2120013222300 is a wasteful number, since it uses less digits than its factorization.

2120013222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75986188 (or 75986178 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2120013222300 its reverse (32223100212), we get a palindrome (2152236322512).

The spelling of 2120013222300 in words is "two trillion, one hundred twenty billion, thirteen million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 465 558 620 775 900 930 1116 1395 1550 1860 2325 2790 3100 4650 5580 6975 9300 13950 27900 75986137 151972274 227958411 303944548 379930685 455916822 683875233 759861370 911833644 1139792055 1367750466 1519722740 1899653425 2279584110 2355570247 2735500932 3419376165 3799306850 4559168220 4711140494 5698960275 6838752330 7066710741 7598613700 9422280988 11397920550 11777851235 13677504660 14133421482 17096880825 21200132223 22795841100 23555702470 28266842964 34193761650 35333553705 42400264446 47111404940 58889256175 68387523300 70667107410 84800528892 106000661115 117778512350 141334214820 176667768525 212001322230 235557024700 353335537050 424002644460 530003305575 706671074100 1060006611150 2120013222300