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110311212220 = 2251110149110111
BaseRepresentation
bin110011010111100001…
…1111000010010111100
3101112201210000012021121
41212233003320102330
53301404132242340
6122402024040324
710653420555466
oct1465703702274
9345653005247
10110311212220
11428678924a0
12194670030a4
13a52cb22251
1454a6675136
152d095bd94a
hex19af0f84bc

110311212220 has 96 divisors (see below), whose sum is σ = 255760146432. Its totient is φ = 39631200000.

The previous prime is 110311212133. The next prime is 110311212223. The reversal of 110311212220 is 22212113011.

It is a junction number, because it is equal to n+sod(n) for n = 110311212194 and 110311212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110311212223) 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, 10904965 + ... + 10915075.

It is an arithmetic number, because the mean of its divisors is an integer number (2664168192).

Almost surely, 2110311212220 is an apocalyptic number.

110311212220 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 110311212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127880073216).

110311212220 is an abundant number, since it is smaller than the sum of its proper divisors (145448934212).

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

110311212220 is a wasteful number, since it uses less digits than its factorization.

110311212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10723 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 110311212220 its reverse (22212113011), we get a palindrome (132523325231).

The spelling of 110311212220 in words is "one hundred ten billion, three hundred eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 491 505 982 1010 1111 1964 2020 2222 2455 4444 4910 5401 5555 9820 10111 10802 11110 20222 21604 22220 27005 40444 49591 50555 54010 99182 101110 108020 111221 198364 202220 222442 247955 444884 495910 545501 556105 991820 1021211 1091002 1112210 2042422 2182004 2224420 2727505 4084844 4964501 5106055 5455010 9929002 10212110 10910020 11233321 19858004 20424220 22466642 24822505 44933284 49645010 54609511 56166605 99290020 109219022 112333210 218438044 224666420 273047555 501414601 546095110 1002829202 1092190220 2005658404 2507073005 5014146010 5515560611 10028292020 11031121222 22062242444 27577803055 55155606110 110311212220