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1021201254432 = 253210932530621
BaseRepresentation
bin11101101110001000101…
…01101000100000100000
310121121220021022202000200
432313010111220200200
5113212410010120212
62101044450545200
7133531214304312
oct16670425504040
93547807282020
101021201254432
113640a8538177
12145aba298200
13753b67b68c8
14375d80a77b2
151b86cbb96dc
hexedc4568820

1021201254432 has 72 divisors (see below), whose sum is σ = 2930683735980. Its totient is φ = 337277468160.

The previous prime is 1021201254373. The next prime is 1021201254467. The reversal of 1021201254432 is 2344521021201.

1021201254432 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 201 + 25 + 4 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1020980910096 + 220344336 = 1010436^2 + 14844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1021201254396 and 1021201254405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16233919 + ... + 16296702.

Almost surely, 21021201254432 is an apocalyptic number.

1021201254432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021201254432 is an abundant number, since it is smaller than the sum of its proper divisors (1909482481548).

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

1021201254432 is a wasteful number, since it uses less digits than its factorization.

1021201254432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32530746 (or 32530735 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1021201254432 its reverse (2344521021201), we get a palindrome (3365722275633).

The spelling of 1021201254432 in words is "one trillion, twenty-one billion, two hundred one million, two hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31392 32530621 65061242 97591863 130122484 195183726 260244968 292775589 390367452 520489936 585551178 780734904 1040979872 1171102356 1561469808 2342204712 3122939616 3545837689 4684409424 7091675378 9368818848 10637513067 14183350756 21275026134 28366701512 31912539201 42550052268 56733403024 63825078402 85100104536 113466806048 127650156804 170200209072 255300313608 340400418144 510600627216 1021201254432