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10022211110112 = 253785411329217
BaseRepresentation
bin1001000111010111101001…
…0101010100010011100000
31022111010002010100112221020
42101311322111110103200
52303200442021010422
633152050142125440
72053036506562335
oct221657225242340
938433063315836
1010022211110112
113214439990873
12115a456280880
13579123954726
14269112d4498c
15125a79d7295c
hex91d7a5544e0

10022211110112 has 48 divisors (see below), whose sum is σ = 26308658919312. Its totient is φ = 3340691988480.

The previous prime is 10022211110081. The next prime is 10022211110117. The reversal of 10022211110112 is 21101111222001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10022211110091 and 10022211110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022211110117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6875328 + ... + 8204544.

It is an arithmetic number, because the mean of its divisors is an integer number (548097060819).

Almost surely, 210022211110112 is an apocalyptic number.

10022211110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022211110112 is an abundant number, since it is smaller than the sum of its proper divisors (16286447809200).

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

10022211110112 is a wasteful number, since it uses less digits than its factorization.

10022211110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407771 (or 1407763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10022211110112 its reverse (21101111222001), we get a palindrome (31123322332113).

The spelling of 10022211110112 in words is "ten trillion, twenty-two billion, two hundred eleven million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 78541 157082 235623 314164 471246 628328 942492 1256656 1329217 1884984 2513312 2658434 3769968 3987651 5316868 7539936 7975302 10633736 15950604 21267472 31901208 42534944 63802416 127604832 104398032397 208796064794 313194097191 417592129588 626388194382 835184259176 1252776388764 1670368518352 2505552777528 3340737036704 5011105555056 10022211110112