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1052152020315 = 375118747159
BaseRepresentation
bin11110100111110010010…
…01011011110101011011
310201120210021122120000000
433103321021123311123
5114214301404122230
62123204005144043
7136005210416334
oct17237111336533
93646707576000
101052152020315
11376240427730
1214bab76bb023
13782a9b3b266
1438cd28c528b
151c57eeebb60
hexf4f925bd5b

1052152020315 has 64 divisors (see below), whose sum is σ = 2065729305600. Its totient is φ = 510134254560.

The previous prime is 1052152020313. The next prime is 1052152020317. The reversal of 1052152020315 is 5130202512501.

1052152020315 is a `hidden beast` number, since 105 + 2 + 1 + 520 + 2 + 0 + 31 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1052152020313) and next prime (1052152020317).

It is not a de Polignac number, because 1052152020315 - 21 = 1052152020313 is a prime.

It is a super-2 number, since 2×10521520203152 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1052152020313) 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, 4253295 + ... + 4493864.

It is an arithmetic number, because the mean of its divisors is an integer number (32277020400).

Almost surely, 21052152020315 is an apocalyptic number.

1052152020315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1052152020315 is a deficient number, since it is larger than the sum of its proper divisors (1013577285285).

1052152020315 is an frugal number, since it uses more digits than its factorization.

1052152020315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8747196 (or 8747178 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 1052152020315 its reverse (5130202512501), we get a palindrome (6182354532816).

The spelling of 1052152020315 in words is "one trillion, fifty-two billion, one hundred fifty-two million, twenty thousand, three hundred fifteen".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 729 891 1215 1485 2187 2673 3645 4455 8019 10935 13365 24057 40095 120285 8747159 26241477 43735795 78724431 96218749 131207385 236173293 288656247 393622155 481093745 708519879 865968741 1180866465 1443281235 2125559637 2597906223 3542599395 4329843705 6376678911 7793718669 10627798185 12989531115 19130036733 23381156007 31883394555 38968593345 70143468021 95650183665 116905780035 210430404063 350717340105 1052152020315