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1010222210112 = 26337151941753
BaseRepresentation
bin11101011001101011110…
…11111001110001000000
310120120120010022111120120
432230311323321301000
5113022413341210422
62052031211540240
7132662151050613
oct16546573716100
93516503274516
101010222210112
1135a484112725
1214395545a680
137435701868b
1436c75cd017a
151b428db945c
hexeb35ef9c40

1010222210112 has 112 divisors (see below), whose sum is σ = 2763302120832. Its totient is φ = 325469491200.

The previous prime is 1010222210111. The next prime is 1010222210159. The reversal of 1010222210112 is 2110122220101.

It is a junction number, because it is equal to n+sod(n) for n = 1010222210091 and 1010222210100.

It is not an unprimeable number, because it can be changed into a prime (1010222210111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601828 + ... + 1543580.

Almost surely, 21010222210112 is an apocalyptic number.

1010222210112 is a gapful number since it is divisible by the number (12) 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 1010222210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381651060416).

1010222210112 is an abundant number, since it is smaller than the sum of its proper divisors (1753079910720).

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

1010222210112 is a wasteful number, since it uses less digits than its factorization.

1010222210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941956 (or 941946 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1010222210112 its reverse (2110122220101), we get a palindrome (3120344430213).

The spelling of 1010222210112 in words is "one trillion, ten billion, two hundred twenty-two million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 151 192 222 296 302 444 453 592 604 888 906 1184 1208 1776 1812 2368 2416 3552 3624 4832 5587 7104 7248 9664 11174 14496 16761 22348 28992 33522 44696 67044 89392 134088 178784 268176 357568 536352 941753 1072704 1883506 2825259 3767012 5650518 7534024 11301036 15068048 22602072 30136096 34844861 45204144 60272192 69689722 90408288 104534583 139379444 142204703 180816576 209069166 278758888 284409406 418138332 426614109 557517776 568818812 836276664 853228218 1115035552 1137637624 1672553328 1706456436 2230071104 2275275248 3345106656 3412912872 4550550496 5261574011 6690213312 6825825744 9101100992 10523148022 13651651488 15784722033 21046296044 27303302976 31569444066 42092592088 63138888132 84185184176 126277776264 168370368352 252555552528 336740736704 505111105056 1010222210112