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120010001202 = 232721337282881
BaseRepresentation
bin110111111000100100…
…1110100101100110010
3102110202200222201120100
41233301021310230302
53431240030014302
6131044250453230
711445650115300
oct1576111645462
9373680881510
10120010001202
1146994576183
121b313134216
13b4172a9640
145b467cb270
1531c5ccdd1c
hex1bf1274b32

120010001202 has 144 divisors (see below), whose sum is σ = 334546436952. Its totient is φ = 30795448320.

The previous prime is 120010001081. The next prime is 120010001227. The reversal of 120010001202 is 202100010021.

It can be written as a sum of positive squares in 4 ways, for example, as 74747013201 + 45262988001 = 273399^2 + 212751^2 .

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, 282802 + ... + 565682.

Almost surely, 2120010001202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120010001202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167273218476).

120010001202 is an abundant number, since it is smaller than the sum of its proper divisors (214536435750).

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

120010001202 is a wasteful number, since it uses less digits than its factorization.

120010001202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282953 (or 282943 counting only the distinct ones).

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

Adding to 120010001202 its reverse (202100010021), we get a palindrome (322110011223).

The spelling of 120010001202 in words is "one hundred twenty billion, ten million, one 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 2886 3367 3626 3822 4329 4662 5439 5733 6734 8658 10101 10878 11466 16317 20202 23569 30303 32634 47138 60606 70707 141414 212121 282881 424242 565762 848643 1697286 1980167 2545929 3677453 3960334 5091858 5940501 7354906 10466597 11032359 11881002 13861169 17821503 20933194 22064718 25742171 27722338 31399791 33097077 35643006 41583507 51484342 62799582 66194154 73266179 77226513 83167014 94199373 124750521 136065761 146532358 154453026 180195197 188398746 219798537 231679539 249501042 272131522 360390394 408197283 439597074 463359078 512863253 540585591 659395611 816394566 952460327 1025726506 1081171182 1224591849 1318791222 1538589759 1621756773 1904920654 2449183698 2857380981 3077179518 3243513546 4615769277 5714761962 6667222289 8572142943 9231538554 13334444578 17144285886 20001666867 40003333734 60005000601 120010001202