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132201069 = 372111319331
BaseRepresentation
bin1111110000100…
…11101001101101
3100012202111202220
413320103221231
5232320413234
621041305553
73163455600
oct770235155
9305674686
10132201069
1168695690
12383352b9
13215095b0
14137b4337
15b915a49
hex7e13a6d

132201069 has 96 divisors (see below), whose sum is σ = 254338560. Its totient is φ = 59875200.

The previous prime is 132201067. The next prime is 132201089. The reversal of 132201069 is 960102231.

It is not a de Polignac number, because 132201069 - 21 = 132201067 is a prime.

It is a super-2 number, since 2×1322010692 = 34954245289485522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132201067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399234 + ... + 399564.

It is an arithmetic number, because the mean of its divisors is an integer number (2649360).

Almost surely, 2132201069 is an apocalyptic number.

132201069 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

132201069 is a deficient number, since it is larger than the sum of its proper divisors (122137491).

132201069 is a wasteful number, since it uses less digits than its factorization.

132201069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 132201069 is about 11497.8723683993. The cubic root of 132201069 is about 509.4227340013.

The spelling of 132201069 in words is "one hundred thirty-two million, two hundred one thousand, sixty-nine".

Divisors: 1 3 7 11 13 19 21 33 39 49 57 77 91 133 143 147 209 231 247 273 331 399 429 539 627 637 741 931 993 1001 1463 1617 1729 1911 2317 2717 2793 3003 3641 4303 4389 5187 6289 6951 7007 8151 10241 10923 12103 12909 16219 18867 19019 21021 25487 30121 30723 36309 44023 47333 48657 57057 69179 76461 81757 90363 132069 133133 141999 178409 207537 210847 245271 308161 331331 399399 484253 535227 572299 632541 899327 924483 993993 1452759 1716897 2319317 2697981 3389771 4006093 6295289 6957951 10169313 12018279 18885867 44067023 132201069