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101132199 = 3373141421
BaseRepresentation
bin1100000011100…
…10011110100111
321001022001022000
412001302132213
5201342212244
614011340343
72335416030
oct601623647
9231261260
10101132199
11520a5133
1229a516b3
1317c4bc4c
14d607a87
158d2a169
hex60727a7

101132199 has 64 divisors (see below), whose sum is σ = 181493760. Its totient is φ = 54432000.

The previous prime is 101132191. The next prime is 101132233. The reversal of 101132199 is 991231101.

It is not a de Polignac number, because 101132199 - 23 = 101132191 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132191) 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, 240009 + ... + 240429.

It is an arithmetic number, because the mean of its divisors is an integer number (2835840).

Almost surely, 2101132199 is an apocalyptic number.

101132199 is a deficient number, since it is larger than the sum of its proper divisors (80361561).

101132199 is a wasteful number, since it uses less digits than its factorization.

101132199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 101132199 is about 10056.4506163954. The cubic root of 101132199 is about 465.9040476734.

The spelling of 101132199 in words is "one hundred one million, one hundred thirty-two thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 21 27 31 41 63 93 123 189 217 279 287 369 421 651 837 861 1107 1263 1271 1953 2583 2947 3789 3813 5859 7749 8841 8897 11367 11439 13051 17261 26523 26691 34317 39153 51783 79569 80073 91357 117459 120827 155349 240219 274071 352377 362481 466047 535091 822213 1087443 1605273 2466639 3262329 3745637 4815819 11236911 14447457 33710733 101132199