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13105452035025 = 3252724158495903
BaseRepresentation
bin1011111010110101100111…
…0100000010101111010001
31201101212110111002221120100
42332231121310002233101
53204204431210110100
643512321143403013
72521560214200630
oct276553164025721
951355414087510
1013105452035025
1141a2a9a019469
121577b11453469
13740ab9b8678c
143344431b5517
1517ad82369400
hexbeb59d02bd1

13105452035025 has 144 divisors (see below), whose sum is σ = 26947135987200. Its totient is φ = 5964174028800.

The previous prime is 13105452034949. The next prime is 13105452035069. The reversal of 13105452035025 is 52053025450131.

13105452035025 is a `hidden beast` number, since 1 + 3 + 10 + 54 + 520 + 3 + 50 + 25 = 666.

It is not a de Polignac number, because 13105452035025 - 213 = 13105452026833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2220131224 + ... + 2220137126.

It is an arithmetic number, because the mean of its divisors is an integer number (187132888800).

Almost surely, 213105452035025 is an apocalyptic number.

13105452035025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13105452035025 is an abundant number, since it is smaller than the sum of its proper divisors (13841683952175).

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

13105452035025 is a wasteful number, since it uses less digits than its factorization.

13105452035025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016 (or 12008 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 13105452035025 its reverse (52053025450131), we get a palindrome (65158477485156).

The spelling of 13105452035025 in words is "thirteen trillion, one hundred five billion, four hundred fifty-two million, thirty-five thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 241 315 525 723 1205 1575 1687 2169 3615 5061 5849 5903 6025 8435 10845 15183 17547 17709 18075 25305 29245 29515 40943 41321 42175 52641 53127 54225 75915 87735 88545 122829 123963 126525 146225 147575 204715 206605 263205 265635 368487 371889 379575 438675 442725 614145 619815 1023575 1033025 1316025 1328175 1409609 1422623 1842435 1859445 3070725 3099075 4228827 4267869 7048045 7113115 9212175 9297225 9867263 9958361 12686481 12803607 21144135 21339345 29601789 29875083 34526647 35240225 35565575 49336315 49791805 63432405 64018035 88805367 89625249 103579941 105720675 106696725 148008945 149375415 172633235 241686529 246681575 248959025 310739823 317162025 320090175 444026835 448126245 517899705 725059587 740044725 746877075 863166175 1208432645 1553699115 2175178761 2220134175 2240631225 2589498525 3625297935 6042163225 7768495575 8320921927 10875893805 18126489675 24962765781 41604609635 54379469025 58246453489 74888297343 124813828905 174739360467 208023048175 291232267445 374441486715 524218081401 624069144525 873696802335 1456161337225 1872207433575 2621090407005 4368484011675 13105452035025