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1010120202 = 2327213372381
BaseRepresentation
bin111100001101010…
…011011000001010
32121101201102102100
4330031103120022
54032042321302
6244122214230
734013610600
oct7415233012
92541642370
101010120202
11479206293
12242354376
13131371680
1498223870
155da2ed1c
hex3c35360a

1010120202 has 144 divisors (see below), whose sum is σ = 2817038952. Its totient is φ = 259096320.

The previous prime is 1010120159. The next prime is 1010120231. The reversal of 1010120202 is 2020210101.

It can be written as a sum of positive squares in 4 ways, for example, as 552203001 + 457917201 = 23499^2 + 21399^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 423052 + ... + 425432.

Almost surely, 21010120202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408519476).

1010120202 is an abundant number, since it is smaller than the sum of its proper divisors (1806918750).

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

1010120202 is a wasteful number, since it uses less digits than its factorization.

1010120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1010120202 is about 31782.3882362544. The cubic root of 1010120202 is about 1003.3620843873.

Adding to 1010120202 its reverse (2020210101), we get a palindrome (3030330303).

It can be divided in two parts, 10101 and 20202, that multiplied together give a palindrome (204060402).

The spelling of 1010120202 in words is "one billion, ten million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 49 63 74 78 91 98 111 117 126 147 182 222 234 259 273 294 333 441 481 518 546 637 666 777 819 882 962 1274 1443 1554 1638 1813 1911 2331 2381 2886 3367 3626 3822 4329 4662 4762 5439 5733 6734 7143 8658 10101 10878 11466 14286 16317 16667 20202 21429 23569 30303 30953 32634 33334 42858 47138 50001 60606 61906 70707 88097 92859 100002 116669 141414 150003 176194 185718 212121 216671 233338 264291 278577 300006 350007 424242 433342 528582 557154 616679 650013 700014 792873 1050021 1145261 1233358 1300026 1516697 1585746 1850037 1950039 2100042 2290522 3033394 3435783 3700074 3900078 4316753 4550091 5550111 6871566 8016827 8633506 9100182 10307349 11100222 12950259 13650273 16033654 20614698 24050481 25900518 27300546 38850777 48100962 56117789 72151443 77701554 112235578 144302886 168353367 336706734 505060101 1010120202