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201002012192 = 2517372269897
BaseRepresentation
bin1011101100110010100…
…1110100111000100000
3201012211011202011211002
42323030221310320200
511243123003342232
6232201122411132
720344005625232
oct2731451647040
9635734664732
10201002012192
1178276439853
1232b57200aa8
1315c53ab21b7
149a2b1d4252
155366401b62
hex2ecca74e20

201002012192 has 72 divisors (see below), whose sum is σ = 430632515124. Its totient is φ = 92032376832.

The previous prime is 201002012191. The next prime is 201002012203. The reversal of 201002012192 is 291210200102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 200987235856 + 14776336 = 448316^2 + 3844^2 .

It is not an unprimeable number, because it can be changed into a prime (201002012191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609788 + ... + 879684.

Almost surely, 2201002012192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201002012192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215316257562).

201002012192 is an abundant number, since it is smaller than the sum of its proper divisors (229630502932).

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

201002012192 is a wasteful number, since it uses less digits than its factorization.

201002012192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269998 (or 269953 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 201002012192 its reverse (291210200102), we get a palindrome (492212212294).

The spelling of 201002012192 in words is "two hundred one billion, two million, twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 1369 2516 2738 5032 5476 10064 10952 20128 21904 23273 43808 46546 93092 186184 269897 372368 539794 744736 1079588 2159176 4318352 4588249 8636704 9176498 9986189 18352996 19972378 36705992 39944756 73411984 79889512 146823968 159779024 169765213 319558048 339530426 369488993 679060852 738977986 1358121704 1477955972 2716243408 2955911944 5432486816 5911823888 6281312881 11823647776 12562625762 25125251524 50250503048 100501006096 201002012192