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10200220144032 = 253733631448309
BaseRepresentation
bin1001010001101110110001…
…1111111001000110100000
31100010010112212202102011110
42110123230133321012200
52314110022324102112
633405525541343320
72101640651444532
oct224335437710640
940103485672143
1010200220144032
113282986396736
121188a55107b40
1358cb51c65829
1427399c557852
1512a4e78a013c
hex946ec7f91a0

10200220144032 has 48 divisors (see below), whose sum is σ = 26775961339680. Its totient is φ = 3400024687872.

The previous prime is 10200220144019. The next prime is 10200220144087. The reversal of 10200220144032 is 23044102200201.

10200220144032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6318694 + ... + 7767002.

It is an arithmetic number, because the mean of its divisors is an integer number (557832527910).

Almost surely, 210200220144032 is an apocalyptic number.

10200220144032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200220144032 is an abundant number, since it is smaller than the sum of its proper divisors (16575741195648).

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

10200220144032 is a wasteful number, since it uses less digits than its factorization.

10200220144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521685 (or 1521677 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10200220144032 its reverse (23044102200201), we get a palindrome (33244322344233).

The spelling of 10200220144032 in words is "ten trillion, two hundred billion, two hundred twenty million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 73363 146726 220089 293452 440178 586904 880356 1173808 1448309 1760712 2347616 2896618 3521424 4344927 5793236 7042848 8689854 11586472 17379708 23172944 34759416 46345888 69518832 139037664 106252293167 212504586334 318756879501 425009172668 637513759002 850018345336 1275027518004 1700036690672 2550055036008 3400073381344 5100110072016 10200220144032