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103021122121302 = 237115472213184211
BaseRepresentation
bin10111011011001001111001…
…011000110110111001010110
3111111202201112010120202000210
4113123021321120312321112
5102000344224230340202
61003035130010350250
730462013305362040
oct2733117130667126
9444681463522023
10103021122121302
112a90a015756250
12b67a22542b386
134563b08978278
141b6236b04aa90
15bd9c38534c6c
hex5db279636e56

103021122121302 has 128 divisors (see below), whose sum is σ = 257471149436928. Its totient is φ = 26697599510400.

The previous prime is 103021122121283. The next prime is 103021122121321. The reversal of 103021122121302 is 203121221120301.

It is an interprime number because it is at equal distance from previous prime (103021122121283) and next prime (103021122121321).

It is a super-2 number, since 2×1030211221213022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 559163977 + ... + 559348187.

It is an arithmetic number, because the mean of its divisors is an integer number (2011493354976).

Almost surely, 2103021122121302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103021122121302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128735574718464).

103021122121302 is an abundant number, since it is smaller than the sum of its proper divisors (154450027315626).

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

103021122121302 is a wasteful number, since it uses less digits than its factorization.

103021122121302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186994.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 103021122121302 its reverse (203121221120301), we get a palindrome (306142343241603).

The spelling of 103021122121302 in words is "one hundred three trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 547 1094 1641 2213 3282 3829 4426 6017 6639 7658 11487 12034 13278 15491 18051 22974 24343 30982 36102 42119 46473 48686 73029 84238 92946 126357 146058 170401 184211 252714 340802 368422 511203 552633 1022406 1105266 1210511 1289477 2026321 2421022 2578954 3631533 3868431 4052642 6078963 7263066 7736862 8473577 12157926 13315621 14184247 16947154 25420731 26631242 28368494 39946863 42552741 50841462 79893726 85105482 93209347 100763417 186418694 201526834 279628041 302290251 407658943 559256082 604580502 705343919 815317886 1108397587 1222976829 1410687838 2116031757 2216795174 2445953658 2853612601 3325192761 4232063514 4484248373 5707225202 6650385522 7758783109 8560837803 8968496746 13452745119 15517566218 17121675606 23276349327 26905490238 31389738611 46552698654 62779477222 94169215833 188338431666 222989441821 445978883642 668968325463 1337936650926 1560926092747 2452883860031 3121852185494 4682778278241 4905767720062 7358651580093 9365556556482 14717303160186 17170187020217 34340374040434 51510561060651 103021122121302