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10222101120112 = 247191641745471
BaseRepresentation
bin1001010011000000010010…
…1101001100010001110000
31100012020000210200011111221
42110300010231030101300
52314434330341320422
633423545102514424
72103344123615650
oct224600455142160
940166023604457
1010222101120112
113291194657942
121191140b95a14
13591c2b242c5b
14274a76594360
1512ad7881c3c7
hex94c04b4c470

10222101120112 has 80 divisors (see below), whose sum is σ = 22788685430784. Its totient is φ = 4351159296000.

The previous prime is 10222101120103. The next prime is 10222101120131. The reversal of 10222101120112 is 21102110122201.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 13339537 + ... + 14085007.

Almost surely, 210222101120112 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 10222101120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11394342715392).

10222101120112 is an abundant number, since it is smaller than the sum of its proper divisors (12566584310672).

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

10222101120112 is a wasteful number, since it uses less digits than its factorization.

10222101120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746318 (or 746312 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10222101120112 its reverse (21102110122201), we get a palindrome (31324211242313).

The spelling of 10222101120112 in words is "ten trillion, two hundred twenty-two billion, one hundred one million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 191 382 641 764 1282 1337 1528 2564 2674 3056 4487 5128 5348 8974 10256 10696 17948 21392 35896 71792 122431 244862 489724 745471 857017 979448 1490942 1714034 1958896 2981884 3428068 5218297 5963768 6856136 10436594 11927536 13712272 20873188 41746376 83492752 142384961 284769922 477846911 569539844 955693822 996694727 1139079688 1911387644 1993389454 2278159376 3344928377 3822775288 3986778908 6689856754 7645550576 7973557816 13379713508 15947115632 26759427016 53518854032 91268760001 182537520002 365075040004 638881320007 730150080008 1277762640014 1460300160016 2555525280028 5111050560056 10222101120112