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10122335344 = 2411267731069
BaseRepresentation
bin10010110110101011…
…01001010001110000
3222010102221220200001
421123111221101300
5131212304212334
64352232435344
7505561300522
oct113325512160
928112856601
1010122335344
114324881400
121b65b48b54
13c54151354
146c04c9a12
153e39c5714
hex25b569470

10122335344 has 120 divisors (see below), whose sum is σ = 22199221520. Its totient is φ = 4466119680.

The previous prime is 10122335309. The next prime is 10122335359. The reversal of 10122335344 is 44353322101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9468442 + ... + 9469510.

Almost surely, 210122335344 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 10122335344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11099610760).

10122335344 is an abundant number, since it is smaller than the sum of its proper divisors (12076886176).

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

10122335344 is a wasteful number, since it uses less digits than its factorization.

10122335344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 10122335344 its reverse (44353322101), we get a palindrome (54475657445).

The spelling of 10122335344 in words is "ten billion, one hundred twenty-two million, three hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 67 73 88 121 134 146 176 242 268 292 484 536 584 737 803 968 1069 1072 1168 1474 1606 1936 2138 2948 3212 4276 4891 5896 6424 8107 8552 8833 9782 11759 11792 12848 16214 17104 17666 19564 23518 32428 35332 39128 47036 53801 64856 70664 71623 78037 78256 94072 107602 129349 129712 141328 143246 156074 188144 215204 258698 286492 312148 430408 517396 572984 591811 624296 787853 858407 860816 1034792 1145968 1183622 1248592 1575706 1716814 2069584 2367244 3151412 3433628 4734488 5228479 6302824 6867256 8666383 9442477 9468976 10456958 12605648 13734512 17332766 18884954 20913916 34665532 37769908 41827832 57513269 69331064 75539816 83655664 115026538 138662128 151079632 230053076 460106152 632645959 920212304 1265291918 2530583836 5061167672 10122335344