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1101120000222 = 231137953473147
BaseRepresentation
bin10000000001011111110…
…111011101000011011110
310220021011221112200012110
4100001133313131003132
5121020043210001342
62201503023014450
7142360531400214
oct20013767350336
93807157480173
101101120000222
11394a89596810
121594a2a3a426
137cab1b3c4b8
143b41a130cb4
151d998e87c9c
hex1005fddd0de

1101120000222 has 64 divisors (see below), whose sum is σ = 2469968826624. Its totient is φ = 324313194240.

The previous prime is 1101120000221. The next prime is 1101120000287. The reversal of 1101120000222 is 2220000211011.

It is a junction number, because it is equal to n+sod(n) for n = 1101120000198 and 1101120000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101120000221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2090653 + ... + 2563799.

It is an arithmetic number, because the mean of its divisors is an integer number (38593262916).

Almost surely, 21101120000222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101120000222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234984413312).

1101120000222 is an abundant number, since it is smaller than the sum of its proper divisors (1368848826402).

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

1101120000222 is a wasteful number, since it uses less digits than its factorization.

1101120000222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474153.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1101120000222 its reverse (2220000211011), we get a palindrome (3321120211233).

The spelling of 1101120000222 in words is "one trillion, one hundred one billion, one hundred twenty million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 953 1221 1906 2442 2859 5718 10483 20966 31449 35261 62898 70522 105783 211566 387871 473147 775742 946294 1163613 1419441 2327226 2838882 5204617 10409234 15613851 17506439 31227702 35012878 52519317 105038634 192570829 385141658 450909091 577712487 901818182 1155424974 1352727273 2705454546 4960000001 9920000002 14880000003 16683636367 29760000006 33367272734 50050909101 100101818202 183520000037 367040000074 550560000111 1101120000222