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10222100320 = 255194182013
BaseRepresentation
bin10011000010100100…
…01101111101100000
3222101101200111111011
421201102031331200
5131413324202240
64410155030304
7511212263515
oct114122157540
928341614434
1010222100320
1143761222a3
121b9343b394
13c6ba11b93
146cd85930c
153ec6306ea
hex26148df60

10222100320 has 96 divisors (see below), whose sum is σ = 26041085280. Its totient is φ = 3779112960.

The previous prime is 10222100281. The next prime is 10222100321. The reversal of 10222100320 is 2300122201.

It is a self number, because there is not a number n which added to its sum of digits gives 10222100320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222100321) 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, 83634 + ... + 165646.

It is an arithmetic number, because the mean of its divisors is an integer number (271261305).

Almost surely, 210222100320 is an apocalyptic number.

10222100320 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 10222100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020542640).

10222100320 is an abundant number, since it is smaller than the sum of its proper divisors (15818984960).

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

10222100320 is a wasteful number, since it uses less digits than its factorization.

10222100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82088 (or 82080 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10222100320 its reverse (2300122201), we get a palindrome (12522222521).

The spelling of 10222100320 in words is "ten billion, two hundred twenty-two million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 76 80 82 95 152 160 164 190 205 304 328 380 410 608 656 760 779 820 1312 1520 1558 1640 3040 3116 3280 3895 6232 6560 7790 12464 15580 24928 31160 62320 82013 124640 164026 328052 410065 656104 820130 1312208 1558247 1640260 2624416 3116494 3280520 3362533 6232988 6561040 6725066 7791235 12465976 13122080 13450132 15582470 16812665 24931952 26900264 31164940 33625330 49863904 53800528 62329880 63888127 67250660 107601056 124659760 127776254 134501320 249319520 255552508 269002640 319440635 511105016 538005280 638881270 1022210032 1277762540 2044420064 2555525080 5111050160 10222100320