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13123233201210 = 2351197677605573
BaseRepresentation
bin1011111011110111110110…
…1001110011110000111010
31201110120100200111210000220
42332331331221303300322
53210002340144414320
643524421411440510
72523056644464366
oct276757551636072
951416320453026
1013123233201210
1141aa594024830
12157b4542b6136
137426919673a2
1433524c91a2a6
1517b5733e7e40
hexbef7da73c3a

13123233201210 has 128 divisors (see below), whose sum is σ = 34764559651584. Its totient is φ = 3143936040960.

The previous prime is 13123233201191. The next prime is 13123233201233. The reversal of 13123233201210 is 1210233232131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21367984 + ... + 21973556.

It is an arithmetic number, because the mean of its divisors is an integer number (271598122278).

Almost surely, 213123233201210 is an apocalyptic number.

13123233201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123233201210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17382279825792).

13123233201210 is an abundant number, since it is smaller than the sum of its proper divisors (21641326450374).

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

13123233201210 is a wasteful number, since it uses less digits than its factorization.

13123233201210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606368.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13123233201210 its reverse (1210233232131), we get a palindrome (14333466433341).

The spelling of 13123233201210 in words is "thirteen trillion, one hundred twenty-three billion, two hundred thirty-three million, two hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 291 330 485 582 677 970 1067 1354 1455 2031 2134 2910 3201 3385 4062 5335 6402 6770 7447 10155 10670 14894 16005 20310 22341 32010 37235 44682 65669 74470 111705 131338 197007 223410 328345 394014 605573 656690 722359 985035 1211146 1444718 1816719 1970070 2167077 3027865 3611795 3633438 4334154 6055730 6661303 7223590 9083595 10835385 13322606 18167190 19983909 21670770 33306515 39967818 58740581 66613030 99919545 117481162 176221743 199839090 293702905 352443486 409972921 587405810 646146391 819945842 881108715 1229918763 1292292782 1762217430 1938439173 2049864605 2459837526 3230731955 3876878346 4099729210 4509702131 6149593815 6461463910 9019404262 9692195865 12299187630 13529106393 19384391730 22548510655 27058212786 39767373337 45097021310 67645531965 79534746674 119302120011 135291063930 198836866685 238604240022 397673733370 437441106707 596510600055 874882213414 1193021200110 1312323320121 2187205533535 2624646640242 4374411067070 6561616600605 13123233201210