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1001111222322 = 232122945254101
BaseRepresentation
bin11101001000101101110…
…00001111100000110010
310112201001011101100221100
432210112320033200302
5112400233433103242
62043523143505230
7132220316662161
oct16442670174062
93481034340840
101001111222322
11356629205752
12142032158216
1373534578543
143664dc673d8
151b0940b754c
hexe916e0f832

1001111222322 has 24 divisors (see below), whose sum is σ = 2170839272940. Its totient is φ = 333432208800.

The previous prime is 1001111222317. The next prime is 1001111222359. The reversal of 1001111222322 is 2232221111001.

1001111222322 is a `hidden beast` number, since 10 + 0 + 1 + 111 + 222 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 968002144641 + 33109077681 = 983871^2 + 181959^2 .

It is a super-2 number, since 2×10011112223222 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001111222295 and 1001111222304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22604929 + ... + 22649172.

Almost surely, 21001111222322 is an apocalyptic number.

1001111222322 is an abundant number, since it is smaller than the sum of its proper divisors (1169728050618).

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

1001111222322 is a wasteful number, since it uses less digits than its factorization.

1001111222322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45255338 (or 45255335 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1001111222322 its reverse (2232221111001), we get a palindrome (3233332333323).

The spelling of 1001111222322 in words is "one trillion, one billion, one hundred eleven million, two hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 1229 2458 3687 7374 11061 22122 45254101 90508202 135762303 271524606 407286909 814573818 55617290129 111234580258 166851870387 333703740774 500555611161 1001111222322