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10216463140 = 22513172311417
BaseRepresentation
bin10011000001111001…
…01101101100100100
3222101000002002201201
421200330231230210
5131410403310030
64405434132244
7511113334552
oct114074555444
928330062651
1010216463140
114372a21a74
121b91581084
13c6a7ba080
146ccbccbd2
153ebdba2ca
hex260f2db24

10216463140 has 48 divisors (see below), whose sum is σ = 24464048112. Its totient is φ = 3550334976.

The previous prime is 10216463119. The next prime is 10216463171. The reversal of 10216463140 is 4136461201.

It can be written as a sum of positive squares in 8 ways, for example, as 1995051556 + 8221411584 = 44666^2 + 90672^2 .

It is a super-2 number, since 2×102164631402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10216463099 and 10216463108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151289 + ... + 1160128.

It is an arithmetic number, because the mean of its divisors is an integer number (509667669).

Almost surely, 210216463140 is an apocalyptic number.

10216463140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10216463140 is an abundant number, since it is smaller than the sum of its proper divisors (14247584972).

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

10216463140 is a wasteful number, since it uses less digits than its factorization.

10216463140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311456 (or 2311454 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10216463140 in words is "ten billion, two hundred sixteen million, four hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 2311417 4622834 9245668 11557085 23114170 30048421 39294089 46228340 60096842 78588178 120193684 150242105 157176356 196470445 300484210 392940890 510823157 600968420 785881780 1021646314 2043292628 2554115785 5108231570 10216463140