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10203742208 = 2141125147
BaseRepresentation
bin10011000000011000…
…01100000000000000
3222100010010210220002
421200030030000000
5131344124222313
64404301335132
7510600243362
oct114014140000
928303123802
1010203742208
114366823600
121b892674a8
13c67c84baa
146cb23ad32
153eac06058
hex26030c000

10203742208 has 90 divisors (see below), whose sum is σ = 22435040628. Its totient is φ = 4637163520.

The previous prime is 10203742207. The next prime is 10203742223. The reversal of 10203742208 is 80224730201.

It is not an unprimeable number, because it can be changed into a prime (10203742207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1979891 + ... + 1985037.

Almost surely, 210203742208 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 10203742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11217520314).

10203742208 is an abundant number, since it is smaller than the sum of its proper divisors (12231298420).

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

10203742208 is an frugal number, since it uses more digits than its factorization.

10203742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 10203742208 in words is "ten billion, two hundred three million, seven hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 4096 5147 5632 7744 8192 10294 11264 15488 16384 20588 22528 30976 41176 45056 56617 61952 82352 90112 113234 123904 164704 180224 226468 247808 329408 452936 495616 622787 658816 905872 991232 1245574 1317632 1811744 1982464 2491148 2635264 3623488 4982296 5270528 7246976 9964592 10541056 14493952 19929184 21082112 28987904 39858368 42164224 57975808 79716736 84328448 115951616 159433472 231903232 318866944 463806464 637733888 927612928 1275467776 2550935552 5101871104 10203742208