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13102323121200 = 2435220477533213
BaseRepresentation
bin1011111010101001111101…
…0100001011110000110000
31201101120101102111122201010
42332222133110023300300
53204132024204334300
643511042452110520
72521416531650115
oct276523724136060
951346342448633
1013102323121200
1141a1733909175
121577399605440
1374070b876c91
1433422781290c
1517ac4c80da50
hexbea9f50bc30

13102323121200 has 120 divisors (see below), whose sum is σ = 41973236786448. Its totient is φ = 3493775651840.

The previous prime is 13102323121189. The next prime is 13102323121213. The reversal of 13102323121200 is 212132320131.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24305794 + ... + 24839006.

Almost surely, 213102323121200 is an apocalyptic number.

13102323121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102323121200 is an abundant number, since it is smaller than the sum of its proper divisors (28870913665248).

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

13102323121200 is a wasteful number, since it uses less digits than its factorization.

13102323121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553711 (or 553700 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13102323121200 its reverse (212132320131), we get a palindrome (13314455441331).

The spelling of 13102323121200 in words is "thirteen trillion, one hundred two billion, three hundred twenty-three million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 20477 40954 61431 81908 102385 122862 163816 204770 245724 307155 327632 409540 491448 511925 533213 614310 819080 982896 1023850 1066426 1228620 1535775 1599639 1638160 2047700 2132852 2457240 2666065 3071550 3199278 4095400 4265704 4914480 5332130 6143100 6398556 7998195 8190800 8531408 10664260 12286200 12797112 13330325 15996390 21328520 24572400 25594224 26660650 31992780 39990975 42657040 53321300 63985560 79981950 106642600 127971120 159963900 213285200 319927800 639855600 10918602601 21837205202 32755807803 43674410404 54593013005 65511615606 87348820808 109186026010 131023231212 163779039015 174697641616 218372052020 262046462424 272965065025 327558078030 436744104040 524092924848 545930130050 655116156060 818895195075 873488208080 1091860260100 1310232312120 1637790390150 2183720520200 2620464624240 3275580780300 4367441040400 6551161560600 13102323121200