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132010122000 = 2435347468121
BaseRepresentation
bin111101011110001101…
…0101001101100010000
3110121202000100000121210
41322330122221230100
54130324042401000
6140351123020120
712352222344231
oct1727432515420
9417660300553
10132010122000
1150a922aa589
1221701b0a640
13c5aa484133
14656443b088
153679575350
hex1ebc6a9b10

132010122000 has 160 divisors (see below), whose sum is σ = 434656894464. Its totient is φ = 34453632000.

The previous prime is 132010121963. The next prime is 132010122001. The reversal of 132010122000 is 221010231.

It is a super-3 number, since 3×1320101220003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (132010122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47940 + ... + 516060.

Almost surely, 2132010122000 is an apocalyptic number.

132010122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132010122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217328447232).

132010122000 is an abundant number, since it is smaller than the sum of its proper divisors (302646772464).

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

132010122000 is a wasteful number, since it uses less digits than its factorization.

132010122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468194 (or 468178 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 132010122000 its reverse (221010231), we get a palindrome (132231132231).

The spelling of 132010122000 in words is "one hundred thirty-two billion, ten million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 47 48 50 60 75 80 94 100 120 125 141 150 188 200 235 240 250 282 300 375 376 400 470 500 564 600 705 750 752 940 1000 1128 1175 1200 1410 1500 1880 2000 2256 2350 2820 3000 3525 3760 4700 5640 5875 6000 7050 9400 11280 11750 14100 17625 18800 23500 28200 35250 47000 56400 70500 94000 141000 282000 468121 936242 1404363 1872484 2340605 2808726 3744968 4681210 5617452 7021815 7489936 9362420 11234904 11703025 14043630 18724840 22001687 22469808 23406050 28087260 35109075 37449680 44003374 46812100 56174520 58515125 66005061 70218150 88006748 93624200 110008435 112349040 117030250 132010122 140436300 175545375 176013496 187248400 220016870 234060500 264020244 280872600 330025305 351090750 352026992 440033740 468121000 528040488 550042175 561745200 660050610 702181500 880067480 936242000 1056080976 1100084350 1320101220 1404363000 1650126525 1760134960 2200168700 2640202440 2750210875 2808726000 3300253050 4400337400 5280404880 5500421750 6600506100 8250632625 8800674800 11000843500 13201012200 16501265250 22001687000 26402024400 33002530500 44003374000 66005061000 132010122000