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22112000102120 = 2351721912802777
BaseRepresentation
bin1010000011100010110011…
…11010010100111011101000
32220021212221022021001022012
411001301121322110323220
510344240334011231440
6115010040154015052
74441352655465635
oct501613172247350
986255838231265
1022112000102120
117055712665295
122591554117488
13c451ca526986
145663257b518c
152852b583de65
hex141c59e94ee8

22112000102120 has 48 divisors (see below), whose sum is σ = 52850740756140. Its totient is φ = 8324517681152.

The previous prime is 22112000102099. The next prime is 22112000102233. The reversal of 22112000102120 is 2120100021122.

It can be written as a sum of positive squares in 6 ways, for example, as 19407179108164 + 2704820993956 = 4405358^2 + 1644634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22112000102095 and 22112000102104.

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, 956389829 + ... + 956412948.

Almost surely, 222112000102120 is an apocalyptic number.

22112000102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112000102120 is an abundant number, since it is smaller than the sum of its proper divisors (30738740654020).

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

22112000102120 is a wasteful number, since it uses less digits than its factorization.

22112000102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912802822 (or 1912802801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22112000102120 its reverse (2120100021122), we get a palindrome (24232100123242).

The spelling of 22112000102120 in words is "twenty-two trillion, one hundred twelve billion, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 11560 1912802777 3825605554 7651211108 9564013885 15302422216 19128027770 32517647209 38256055540 65035294418 76512111080 130070588836 162588236045 260141177672 325176472090 552800002553 650352944180 1105600005106 1300705888360 2211200010212 2764000012765 4422400020424 5528000025530 11056000051060 22112000102120