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1313435522025 = 335211273220291
BaseRepresentation
bin10011000111001110110…
…110111001001111101001
311122120012120122200121000
4103013032312321033221
5133004403443201100
62443214533305213
7163615104505464
oct23071666711751
94576176580530
101313435522025
11467030124800
12192676a95209
1396b19796c83
14477dbac42db
1524273705900
hex131cedb93e9

1313435522025 has 144 divisors (see below), whose sum is σ = 2688461191360. Its totient is φ = 628090848000.

The previous prime is 1313435522023. The next prime is 1313435522051. The reversal of 1313435522025 is 5202255343131.

1313435522025 is a `hidden beast` number, since 1 + 3 + 13 + 435 + 5 + 2 + 202 + 5 = 666.

It is not a de Polignac number, because 1313435522025 - 21 = 1313435522023 is a prime.

It is a super-2 number, since 2×13134355220252 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1313435522023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5852130 + ... + 6072420.

Almost surely, 21313435522025 is an apocalyptic number.

1313435522025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1313435522025 is an abundant number, since it is smaller than the sum of its proper divisors (1375025669335).

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

1313435522025 is a wasteful number, since it uses less digits than its factorization.

1313435522025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220405 (or 220383 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1313435522025 in words is "one trillion, three hundred thirteen billion, four hundred thirty-five million, five hundred twenty-two thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 73 75 99 121 135 165 219 225 275 297 363 365 495 605 657 675 803 825 1089 1095 1485 1815 1825 1971 2409 2475 3025 3267 3285 4015 5445 5475 7227 7425 8833 9075 9855 12045 16335 16425 20075 21681 26499 27225 36135 44165 49275 60225 79497 81675 108405 132495 180675 220291 220825 238491 397485 542025 660873 662475 1101455 1192455 1982619 1987425 2423201 3304365 5507275 5947857 5962275 7269603 9913095 12116005 16081243 16521825 21808809 26655211 29739285 36348015 48243729 49565475 60580025 65426427 79965633 80406215 109044045 133276055 144731187 148696425 176893673 181740075 239896899 241218645 327132135 399828165 402031075 434193561 530681019 545220225 666380275 719690697 723655935 884468365 1199484495 1206093225 1592043057 1635660675 1945830403 1999140825 2170967805 2653405095 3598453485 3618279675 4422341825 4776129171 5837491209 5997422475 7960215285 9729152015 10854839025 13267025475 17512473627 17992267425 23880645855 29187456045 39801076425 48645760075 52537420881 87562368135 119403229275 145937280225 262687104405 437811840675 1313435522025