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133211745 = 325172367113
BaseRepresentation
bin1111111000010…
…10011001100001
3100021122212011100
413330022121201
5233100233440
621115105013
73205165302
oct774123141
9307585140
10133211745
1169215a57
1238742169
13217a1624
14139987a9
15ba65230
hex7f0a661

133211745 has 96 divisors (see below), whose sum is σ = 261211392. Its totient is φ = 62447616.

The previous prime is 133211713. The next prime is 133211753. The reversal of 133211745 is 547112331.

It is not a de Polignac number, because 133211745 - 25 = 133211713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1178809 + ... + 1178921.

It is an arithmetic number, because the mean of its divisors is an integer number (2720952).

Almost surely, 2133211745 is an apocalyptic number.

133211745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133211745 is a deficient number, since it is larger than the sum of its proper divisors (127999647).

133211745 is a wasteful number, since it uses less digits than its factorization.

133211745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 228 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 133211745 is about 11541.7392536827. The cubic root of 133211745 is about 510.7176172235.

It can be divided in two parts, 133211 and 745, that added together give a square (133956 = 3662).

The spelling of 133211745 in words is "one hundred thirty-three million, two hundred eleven thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 17 23 45 51 67 69 85 113 115 153 201 207 255 335 339 345 391 565 603 765 1005 1017 1035 1139 1173 1541 1695 1921 1955 2599 3015 3417 3519 4623 5085 5695 5763 5865 7571 7705 7797 9605 10251 12995 13869 17085 17289 17595 22713 23115 23391 26197 28815 37855 38985 44183 51255 68139 69345 78591 86445 113565 116955 128707 130985 132549 174133 220915 235773 340695 386121 392955 397647 522399 643535 662745 870665 1158363 1178865 1567197 1930605 1988235 2611995 2960261 5791815 7835985 8880783 14801305 26642349 44403915 133211745