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103533053004 = 2232296111314387
BaseRepresentation
bin110000001101100001…
…1010000010001001100
3100220020101201000211200
41200123003100101030
53144013430144004
6115321252345500
710323434300403
oct1403303202114
9326211630750
10103533053004
113a9a9789117
1218095015290
1399bc77c854
14502238463a
152a5e4c5239
hex181b0d044c

103533053004 has 144 divisors (see below), whose sum is σ = 277625668320. Its totient is φ = 32482437120.

The previous prime is 103533052981. The next prime is 103533053053. The reversal of 103533053004 is 400350335301.

It is a happy number.

103533053004 is a `hidden beast` number, since 1 + 0 + 3 + 53 + 305 + 300 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7189099 + ... + 7203485.

It is an arithmetic number, because the mean of its divisors is an integer number (1927956030).

Almost surely, 2103533053004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103533053004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138812834160).

103533053004 is an abundant number, since it is smaller than the sum of its proper divisors (174092615316).

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

103533053004 is a wasteful number, since it uses less digits than its factorization.

103533053004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14600 (or 14595 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 103533053004 its reverse (400350335301), we get a palindrome (503883388305).

The spelling of 103533053004 in words is "one hundred three billion, five hundred thirty-three million, fifty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 61 87 113 116 122 174 183 226 244 261 339 348 366 452 522 549 678 732 1017 1044 1098 1356 1769 2034 2196 3277 3538 4068 5307 6554 6893 7076 9831 10614 13108 13786 14387 15921 19662 20679 21228 27572 28774 29493 31842 39324 41358 43161 57548 58986 62037 63684 82716 86322 117972 124074 129483 172644 199897 248148 258966 399794 417223 517932 599691 799588 834446 877607 1199382 1251669 1625731 1668892 1755214 1799073 2398764 2503338 2632821 3251462 3510428 3598146 3755007 4877193 5006676 5265642 6502924 7196292 7510014 7898463 9754386 10531284 14631579 15020028 15796926 19508772 25450603 29263158 31593852 47146199 50901206 58526316 76351809 94292398 99169591 101802412 141438597 152703618 188584796 198339182 229055427 282877194 297508773 305407236 396678364 424315791 458110854 565754388 595017546 848631582 892526319 916221708 1190035092 1697263164 1785052638 2875918139 3570105276 5751836278 8627754417 11503672556 17255508834 25883263251 34511017668 51766526502 103533053004