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200369931129 = 321726721312
BaseRepresentation
bin1011101010011011111…
…0101000001101111001
3201011012010101010121100
42322212332220031321
511240324200244004
6232014303002013
720322232212264
oct2724676501571
9634163333540
10200369931129
1177a81669a05
12329bb599309
1315b82b63334
1499ab299cdb
15532ab98739
hex2ea6fa8379

200369931129 has 81 divisors (see below), whose sum is σ = 314507566191. Its totient is φ = 122900469120.

The previous prime is 200369931107. The next prime is 200369931137. The reversal of 200369931129 is 921139963002.

The square root of 200369931129 is 447627.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 155997351225 + 44372579904 = 394965^2 + 210648^2 .

It is not a de Polignac number, because 200369931129 - 27 = 200369931001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200369931199) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1529541394 + ... + 1529541524.

Almost surely, 2200369931129 is an apocalyptic number.

200369931129 is the 447627-th square number.

200369931129 is the 223814-th centered octagonal number.

It is an amenable number.

200369931129 is a deficient number, since it is larger than the sum of its proper divisors (114137635062).

200369931129 is an equidigital number, since it uses as much as digits as its factorization.

200369931129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 200369931129 in words is "two hundred billion, three hundred sixty-nine million, nine hundred thirty-one thousand, one hundred twenty-nine".

Divisors: 1 3 9 17 51 67 131 153 201 289 393 603 867 1139 1179 2227 2601 3417 4489 6681 8777 10251 13467 17161 19363 20043 26331 37859 40401 51483 58089 76313 78993 113577 149209 154449 174267 228939 291737 340731 447627 588059 686817 875211 1149787 1297321 1342881 1764177 2536553 2625633 3449361 3891963 4959529 5292531 7609659 9997003 10348083 11675889 14878587 19546379 22828977 29991009 44635761 58639137 77035729 89973027 169949051 175917411 231107187 332288443 509847153 693321561 996865329 1309607393 1529541459 2990595987 3928822179 11786466537 22263325681 66789977043 200369931129