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10222202102088 = 23319231511645041
BaseRepresentation
bin1001010011000000101010…
…1110011010000101001000
31100012020021211200120202010
42110300022232122011020
52314440032214231323
633424003111135520
72103346461141024
oct224601256320510
940166254616663
1010222202102088
11329123665a119
12119116a9745a0
13591c4613b6c2
14274a85b5d384
1512ad82617c93
hex94c0ab9a148

10222202102088 has 128 divisors (see below), whose sum is σ = 28088740915200. Its totient is φ = 3085664947200.

The previous prime is 10222202102087. The next prime is 10222202102137. The reversal of 10222202102088 is 88020120222201.

It is not an unprimeable number, because it can be changed into a prime (10222202102081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15524848 + ... + 16169888.

It is an arithmetic number, because the mean of its divisors is an integer number (219443288400).

Almost surely, 210222202102088 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 10222202102088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14044370457600).

10222202102088 is an abundant number, since it is smaller than the sum of its proper divisors (17866538813112).

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

10222202102088 is a wasteful number, since it uses less digits than its factorization.

10222202102088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646603 (or 646599 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 10222202102088 its reverse (88020120222201), we get a palindrome (98242322324289).

The spelling of 10222202102088 in words is "ten trillion, two hundred twenty-two billion, two hundred two million, one hundred two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1511 1748 2622 3022 3496 4533 5244 6044 9066 10488 12088 18132 28709 34753 36264 57418 69506 86127 104259 114836 139012 172254 208518 229672 278024 344508 417036 645041 660307 689016 834072 1290082 1320614 1935123 1980921 2580164 2641228 3870246 3961842 5160328 5282456 7740492 7923684 12255779 14835943 15480984 15847368 24511558 29671886 36767337 44507829 49023116 59343772 73534674 89015658 98046232 118687544 147069348 178031316 281882917 294138696 356062632 563765834 845648751 974656951 1127531668 1691297502 1949313902 2255063336 2923970853 3382595004 3898627804 5847941706 6765190008 7797255608 11695883412 18518482069 22417109873 23391766824 37036964138 44834219746 55555446207 67251329619 74073928276 89668439492 111110892414 134502659238 148147856552 179336878984 222221784828 269005318476 425925087587 444443569656 538010636952 851850175174 1277775262761 1703700350348 2555550525522 3407400700696 5111101051044 10222202102088