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31020132101202 = 23752122136151
BaseRepresentation
bin1110000110110011011111…
…11101000110110001010010
311001211111101100012220000000
413003121233331012301102
513031213212304214302
6145550241342310430
76351062535233646
oct703315775066122
9131744340186000
1031020132101202
11997a622972612
12358baab588416
1314402555856ba
1479354d464c26
1538bd88ba231c
hex1c366ff46c52

31020132101202 has 128 divisors (see below), whose sum is σ = 69961569661440. Its totient is φ = 10313857008000.

The previous prime is 31020132101171. The next prime is 31020132101213. The reversal of 31020132101202 is 20210123102013.

31020132101202 is a `hidden beast` number, since 310 + 20 + 1 + 3 + 210 + 120 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5043100827 + ... + 5043106977.

It is an arithmetic number, because the mean of its divisors is an integer number (546574762980).

Almost surely, 231020132101202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020132101202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34980784830720).

31020132101202 is an abundant number, since it is smaller than the sum of its proper divisors (38941437560238).

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

31020132101202 is an equidigital number, since it uses as much as digits as its factorization.

31020132101202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8908 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31020132101202 its reverse (20210123102013), we get a palindrome (51230255203215).

The spelling of 31020132101202 in words is "thirty-one trillion, twenty billion, one hundred thirty-two million, one hundred one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 521 729 1042 1458 1563 2187 2213 3126 4374 4426 4689 6151 6639 9378 12302 13278 14067 18453 19917 28134 36906 39834 42201 55359 59751 84402 110718 119502 126603 166077 179253 253206 332154 358506 379809 498231 537759 759618 996462 1075518 1139427 1152973 1494693 1613277 2278854 2305946 2989386 3204671 3226554 3458919 4484079 4839831 6409342 6917838 8968158 9614013 9679662 10376757 13452237 13612163 19228026 20753514 26904474 27224326 28842039 31130271 40836489 57684078 62260542 81672978 86526117 93390813 122509467 173052234 186781626 245018934 259578351 280172439 367528401 519156702 560344878 735056802 778735053 840517317 1102585203 1557470106 1681034634 2205170406 2336205159 2521551951 3307755609 4672410318 5043103902 6615511218 7008615477 7091936923 9923266827 14017230954 14183873846 19846533654 21275810769 29769800481 42551621538 59539600962 63827432307 127654864614 191482296921 382964593842 574446890763 1148893781526 1723340672289 3446681344578 5170022016867 10340044033734 15510066050601 31020132101202