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203112201040 = 2457253977629
BaseRepresentation
bin1011110100101001101…
…1100011101101010000
3201102021020102212201121
42331022123203231100
511311433210413130
6233150343212024
720450211136300
oct2751233435520
9642236385647
10203112201040
11791595a6981
1233445a47014
13161cc029858
149b8b573600
15543b7ccd7a
hex2f4a6e3b50

203112201040 has 120 divisors (see below), whose sum is σ = 559700996040. Its totient is φ = 68324465664.

The previous prime is 203112201023. The next prime is 203112201067. The reversal of 203112201040 is 40102211302.

It can be written as a sum of positive squares in 4 ways, for example, as 31802302224 + 171309898816 = 178332^2 + 413896^2 .

It is a super-2 number, since 2×2031122010402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281055 + ... + 696574.

It is an arithmetic number, because the mean of its divisors is an integer number (4664174967).

Almost surely, 2203112201040 is an apocalyptic number.

203112201040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203112201040 is an abundant number, since it is smaller than the sum of its proper divisors (356588795000).

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

203112201040 is a wasteful number, since it uses less digits than its factorization.

203112201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977709 (or 977696 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 203112201040 its reverse (40102211302), we get a palindrome (243214412342).

The spelling of 203112201040 in words is "two hundred three billion, one hundred twelve million, two hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 53 56 70 80 98 106 112 140 196 212 245 265 280 371 392 424 490 530 560 742 784 848 980 1060 1484 1855 1960 2120 2597 2968 3710 3920 4240 5194 5936 7420 10388 12985 14840 20776 25970 29680 41552 51940 103880 207760 977629 1955258 3910516 4888145 6843403 7821032 9776290 13686806 15642064 19552580 27373612 34217015 39105160 47903821 51814337 54747224 68434030 78210320 95807642 103628674 109494448 136868060 191615284 207257348 239519105 259071685 273736120 362700359 383230568 414514696 479038210 518143370 547472240 725400718 766461136 829029392 958076420 1036286740 1450801436 1813501795 1916152840 2072573480 2538902513 2901602872 3627003590 3832305680 4145146960 5077805026 5803205744 7254007180 10155610052 12694512565 14508014360 20311220104 25389025130 29016028720 40622440208 50778050260 101556100520 203112201040