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10303148772 = 22327192151869
BaseRepresentation
bin10011001100001110…
…11001001011100100
3222121001012012001200
421212013121023210
5132100101230042
64422212122500
7513215214420
oct114607311344
928531165050
1010303148772
11440794a194
121bb6606430
13c8274b547
146da515b80
154047dec4c
hex2661d92e4

10303148772 has 72 divisors (see below), whose sum is σ = 31331227200. Its totient is φ = 2788820928.

The previous prime is 10303148743. The next prime is 10303148777. The reversal of 10303148772 is 27784130301.

10303148772 is a `hidden beast` number, since 103 + 0 + 3 + 1 + 487 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10303148777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071147 + ... + 1080722.

Almost surely, 210303148772 is an apocalyptic number.

10303148772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10303148772 is an abundant number, since it is smaller than the sum of its proper divisors (21028078428).

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

10303148772 is a wasteful number, since it uses less digits than its factorization.

10303148772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151905 (or 2151900 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10303148772 in words is "ten billion, three hundred three million, one hundred forty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 2151869 4303738 6455607 8607476 12911214 15063083 19366821 25822428 30126166 38733642 40885511 45189249 60252332 77467284 81771022 90378498 122656533 135567747 163542044 180756996 245313066 271135494 286198577 367969599 490626132 542270988 572397154 735939198 858595731 1144794308 1471878396 1717191462 2575787193 3434382924 5151574386 10303148772