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100121143304 = 23713479287117
BaseRepresentation
bin101110100111110101…
…1110110100000001000
3100120102121121001121202
41131033223312200020
53120022003041204
6113554531323332
710143044450660
oct1351753664010
9316377531552
10100121143304
1139508858936
12174a2450548
139597946b80
144bbb1971a0
15290ebb8e1e
hex174faf6808

100121143304 has 64 divisors (see below), whose sum is σ = 231531955200. Its totient is φ = 39525537024.

The previous prime is 100121143273. The next prime is 100121143307. The reversal of 100121143304 is 403341121001.

It is not an unprimeable number, because it can be changed into a prime (100121143307) 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 15 ways as a sum of consecutive naturals, for example, 205154 + ... + 492270.

It is an arithmetic number, because the mean of its divisors is an integer number (3617686800).

Almost surely, 2100121143304 is an apocalyptic number.

100121143304 is a gapful number since it is divisible by the number (14) 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 100121143304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115765977600).

100121143304 is an abundant number, since it is smaller than the sum of its proper divisors (131410811896).

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

100121143304 is a wasteful number, since it uses less digits than its factorization.

100121143304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287622 (or 287618 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100121143304 its reverse (403341121001), we get a palindrome (503462264305).

The spelling of 100121143304 in words is "one hundred billion, one hundred twenty-one million, one hundred forty-three thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 479 728 958 1916 3353 3832 6227 6706 12454 13412 24908 26824 43589 49816 87178 174356 287117 348712 574234 1148468 2009819 2296936 3732521 4019638 7465042 8039276 14930084 16078552 26127647 29860168 52255294 104510588 137529043 209021176 275058086 550116172 962703301 1100232344 1787877559 1925406602 3575755118 3850813204 7151510236 7701626408 12515142913 14303020472 25030285826 50060571652 100121143304