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2000123121990 = 2357151213129599
BaseRepresentation
bin11101000110110000101…
…000001101000101000110
321002012200000112002120210
4131012300220031011012
5230232223004400430
64130502135540250
7264334626011220
oct35066050150506
97065600462523
102000123121990
1170127a3a51a4
1228377922a686
131167c2c12316
146cb40d7d410
1537063bed2b0
hex1d1b0a0d146

2000123121990 has 128 divisors (see below), whose sum is σ = 5525161574400. Its totient is φ = 453914928000.

The previous prime is 2000123121977. The next prime is 2000123121991. The reversal of 2000123121990 is 991213210002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000123121991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67559211 + ... + 67588809.

It is an arithmetic number, because the mean of its divisors is an integer number (43165324800).

Almost surely, 22000123121990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000123121990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762580787200).

2000123121990 is an abundant number, since it is smaller than the sum of its proper divisors (3525038452410).

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

2000123121990 is a wasteful number, since it uses less digits than its factorization.

2000123121990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31898.

The product of its (nonzero) digits is 1944, while the sum is 30.

Adding to 2000123121990 its reverse (991213210002), we get a palindrome (2991336331992).

The spelling of 2000123121990 in words is "two trillion, one hundred twenty-three million, one hundred twenty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 151 210 302 453 755 906 1057 1510 2114 2131 2265 3171 4262 4530 5285 6342 6393 10570 10655 12786 14917 15855 21310 29599 29834 31710 31965 44751 59198 63930 74585 88797 89502 147995 149170 177594 207193 223755 295990 321781 414386 443985 447510 621579 643562 887970 965343 1035965 1243158 1608905 1930686 2071930 2252467 3107895 3217810 4469449 4504934 4826715 6215790 6757401 8938898 9653430 11262335 13408347 13514802 22347245 22524670 26816694 31286143 33787005 44694490 62572286 63075469 67041735 67574010 93858429 126150938 134083470 156430715 187716858 189226407 312861430 315377345 378452814 441528283 469292145 630754690 883056566 938584290 946132035 1324584849 1892264070 2207641415 2649169698 4415282830 6622924245 9524395819 13245848490 19048791638 28573187457 47621979095 57146374914 66670770733 95243958190 133341541466 142865937285 200012312199 285731874570 333353853665 400024624398 666707707330 1000061560995 2000123121990