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1001021001112 = 2311191213493567
BaseRepresentation
bin11101001000100011000…
…00000100110110011000
310112200210212121122201001
432210101200010312120
5112400042334013422
62043510202034344
7132215143055446
oct16442140046630
93480725548631
101001021001112
11356592293170
12142007aa89b4
137351b979a02
1436641c9db96
151b08b1e5227
hexe911804d98

1001021001112 has 64 divisors (see below), whose sum is σ = 2157089587200. Its totient is φ = 430705434240.

The previous prime is 1001021001109. The next prime is 1001021001139. The reversal of 1001021001112 is 2111001201001.

It is a congruent number.

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, 1781353 + ... + 2274919.

It is an arithmetic number, because the mean of its divisors is an integer number (33704524800).

Almost surely, 21001021001112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001021001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078544793600).

1001021001112 is an abundant number, since it is smaller than the sum of its proper divisors (1156068586088).

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

1001021001112 is a wasteful number, since it uses less digits than its factorization.

1001021001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494816 (or 494812 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001021001112 its reverse (2111001201001), we get a palindrome (3112022202113).

The spelling of 1001021001112 in words is "one trillion, one billion, twenty-one million, one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1213 1672 2426 4852 9704 13343 23047 26686 46094 53372 92188 106744 184376 253517 493567 507034 987134 1014068 1974268 2028136 3948536 5429237 9377773 10858474 18755546 21716948 37511092 43433896 75022184 103155503 206311006 412622012 598696771 825244024 1197393542 2394787084 4789574168 6585664481 11375238649 13171328962 22750477298 26342657924 45500954596 52685315848 91001909192 125127625139 250255250278 500510500556 1001021001112