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1112220002120 = 235732129178909
BaseRepresentation
bin10000001011110101011…
…110100110011101001000
310221022211112011012020212
4100023311132212131020
5121210311310031440
62210540302340252
7143232564013613
oct20136536463510
93838745135225
101112220002120
113997652174a7
1215b68028a688
1380b606ab466
143bb903d317a
151dde86cc465
hex102f57a6748

1112220002120 has 64 divisors (see below), whose sum is σ = 2537981478000. Its totient is φ = 438585090048.

The previous prime is 1112220002099. The next prime is 1112220002141. The reversal of 1112220002120 is 212000222111.

It is an interprime number because it is at equal distance from previous prime (1112220002099) and next prime (1112220002141).

It can be written as a sum of positive squares in 8 ways, for example, as 482866552996 + 629353449124 = 694886^2 + 793318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1112220002095 and 1112220002104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6127226 + ... + 6306134.

Almost surely, 21112220002120 is an apocalyptic number.

1112220002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112220002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268990739000).

1112220002120 is an abundant number, since it is smaller than the sum of its proper divisors (1425761475880).

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

1112220002120 is a wasteful number, since it uses less digits than its factorization.

1112220002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181122 (or 181118 counting only the distinct ones).

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

Adding to 1112220002120 its reverse (212000222111), we get a palindrome (1324220224231).

The spelling of 1112220002120 in words is "one trillion, one hundred twelve billion, two hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2129 2920 4258 8516 10645 17032 21290 42580 85160 155417 178909 310834 357818 621668 715636 777085 894545 1243336 1431272 1554170 1789090 3108340 3578180 6216680 7156360 13060357 26120714 52241428 65301785 104482856 130603570 261207140 380897261 522414280 761794522 1523589044 1904486305 3047178088 3808972610 7617945220 15235890440 27805500053 55611000106 111222000212 139027500265 222444000424 278055000530 556110001060 1112220002120