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152515005322141 = 711431671448919037
BaseRepresentation
bin100010101011011000101010…
…101101110001001110011101
3202000000021212221200200221001
4202223120222231301032131
5124442301212330302031
61300212232020310301
744060563003235020
oct4253305255611635
9660007787620831
10152515005322141
11446612834a0120
121513251a842391
136714145c0b697
142993aa0cdb1b7
1512973ea556861
hex8ab62ab7139d

152515005322141 has 64 divisors (see below), whose sum is σ = 195759523491840. Its totient is φ = 115369965365760.

The previous prime is 152515005322109. The next prime is 152515005322157. The reversal of 152515005322141 is 141223500515251.

It is not a de Polignac number, because 152515005322141 - 25 = 152515005322109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 152515005322141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152515005320141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8011494675 + ... + 8011513711.

It is an arithmetic number, because the mean of its divisors is an integer number (3058742554560).

Almost surely, 2152515005322141 is an apocalyptic number.

152515005322141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

152515005322141 is a deficient number, since it is larger than the sum of its proper divisors (43244518169699).

152515005322141 is a wasteful number, since it uses less digits than its factorization.

152515005322141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33754.

The product of its (nonzero) digits is 60000, while the sum is 37.

Adding to 152515005322141 its reverse (141223500515251), we get a palindrome (293738505837392).

The spelling of 152515005322141 in words is "one hundred fifty-two trillion, five hundred fifteen billion, five million, three hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 7 11 43 77 167 301 473 1169 1837 3311 7181 12859 14489 19037 50267 78991 101423 133259 159379 209407 552937 623027 818591 1115653 1465849 2419663 3179179 4361189 5730137 6853297 9004501 16937641 22254253 26616293 34970969 47973079 63031507 104045509 136704697 186314051 244796783 275827093 728318563 956932879 1144500599 1503751667 1930789651 3034098023 8011504193 10526261669 11860564999 21238686161 46063124531 83023954993 130466214989 322441871717 506694369841 913263504923 1980714354833 3546860588887 13865000483831 21787857903163 152515005322141