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110002101222112 = 251119131125554829
BaseRepresentation
bin11001000000101111011100…
…001010101111101011100000
3112102111002122120100220222021
4121000233130022233223200
5103404233300403101422
61025542133452151224
732112250420563541
oct3100573412575340
9472432576326867
10110002101222112
11320606a14334a0
1210407189168514
13494c1cc6c9658
141d241b70284c8
15cab618e1bdc7
hex640bdc2afae0

110002101222112 has 96 divisors (see below), whose sum is σ = 250587351907200. Its totient is φ = 47007727603200.

The previous prime is 110002101222103. The next prime is 110002101222137. The reversal of 110002101222112 is 211222101200011.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61901287 + ... + 63653542.

It is an arithmetic number, because the mean of its divisors is an integer number (2610284915700).

Almost surely, 2110002101222112 is an apocalyptic number.

It is an amenable number.

110002101222112 is an abundant number, since it is smaller than the sum of its proper divisors (140585250685088).

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

110002101222112 is a wasteful number, since it uses less digits than its factorization.

110002101222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125555000 (or 125554992 counting only the distinct ones).

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

Adding to 110002101222112 its reverse (211222101200011), we get a palindrome (321224202422123).

The spelling of 110002101222112 in words is "one hundred ten trillion, two billion, one hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 131 152 176 209 262 304 352 418 524 608 836 1048 1441 1672 2096 2489 2882 3344 4192 4978 5764 6688 9956 11528 19912 23056 27379 39824 46112 54758 79648 109516 219032 438064 876128 125554829 251109658 502219316 1004438632 1381103119 2008877264 2385541751 2762206238 4017754528 4771083502 5524412476 9542167004 11048824952 16447682599 19084334008 22097649904 26240959261 32895365198 38168668016 44195299808 52481918522 65790730396 76337336032 104963837044 131581460792 180924508589 209927674088 263162921584 312505969381 361849017178 419855348176 526325843168 625011938762 723698034356 839710696352 1250023877524 1447396068712 2500047755048 2894792137424 3437565663191 5000095510096 5789584274848 6875131326382 10000191020192 13750262652764 27500525305528 55001050611056 110002101222112