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203133004314032 = 24132235119638059
BaseRepresentation
bin101110001011111110010110…
…100100000111010110110000
3222122020022210022222112201102
4232023332112210013112300
5203111112343101022112
62000010003001023532
760533606132510162
oct5613762644072660
9878208708875642
10203133004314032
11597a72502a5811
121a948654184ba8
13894648b228600
143823992dd2932
151873e5028dbc2
hexb8bf969075b0

203133004314032 has 120 divisors (see below), whose sum is σ = 444790503014400. Its totient is φ = 89659787652864.

The previous prime is 203133004313983. The next prime is 203133004314041. The reversal of 203133004314032 is 230413400331302.

It is a junction number, because it is equal to n+sod(n) for n = 203133004313986 and 203133004314004.

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, 318041819 + ... + 318679877.

It is an arithmetic number, because the mean of its divisors is an integer number (3706587525120).

Almost surely, 2203133004314032 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 203133004314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222395251507200).

203133004314032 is an abundant number, since it is smaller than the sum of its proper divisors (241657498700368).

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

203133004314032 is a wasteful number, since it uses less digits than its factorization.

203133004314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643235 (or 643216 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 203133004314032 its reverse (230413400331302), we get a palindrome (433546404645334).

The spelling of 203133004314032 in words is "two hundred three trillion, one hundred thirty-three billion, four million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 184 208 299 338 368 598 676 1196 1352 2392 2704 3887 4784 5119 7774 10238 15548 20476 31096 40952 62192 66547 81904 117737 133094 235474 266188 470948 532376 638059 865111 941896 1064752 1276118 1530581 1730222 1883792 2552236 3061162 3460444 5104472 6122324 6920888 8294767 10208944 12244648 13841776 14675357 16589534 19897553 24489296 29350714 33179068 39795106 58701428 66358136 79590212 107831971 117402856 132716272 159180424 190779641 215663942 234805712 318360848 381559282 431327884 763118564 862655768 1526237128 1725311536 2480135333 3052474256 3266224021 4960270666 6532448042 9920541332 13064896084 19841082664 26129792168 39682165328 42460912273 52259584336 75123152483 84921824546 150246304966 169843649092 300492609932 339687298184 551991859549 600985219864 679374596368 976600982279 1103983719098 1201970439728 1953201964558 2207967438196 3906403929116 4415934876392 7812807858232 8831869752784 12695812769627 15625615716464 25391625539254 50783251078508 101566502157016 203133004314032