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203021442 = 2321337131179
BaseRepresentation
bin11000001100111…
…01110010000010
3112011000120001200
430012131302002
5403433141232
632051242030
75013440151
oct1406356202
9464016050
10203021442
11a4667018
1257ba9316
13330a4640
141cd6b598
1512c5477c
hexc19dc82

203021442 has 96 divisors (see below), whose sum is σ = 492972480. Its totient is φ = 59978880.

The previous prime is 203021417. The next prime is 203021453. The reversal of 203021442 is 244120302.

203021442 is a `hidden beast` number, since 203 + 0 + 21 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134109 + ... + 1134287.

It is an arithmetic number, because the mean of its divisors is an integer number (5135130).

Almost surely, 2203021442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203021442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246486240).

203021442 is an abundant number, since it is smaller than the sum of its proper divisors (289951038).

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

203021442 is a wasteful number, since it uses less digits than its factorization.

203021442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 203021442 is about 14248.5592955920. The cubic root of 203021442 is about 587.7337577107.

Adding to 203021442 its reverse (244120302), we get a palindrome (447141744).

The spelling of 203021442 in words is "two hundred three million, twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 131 179 222 234 262 333 358 393 481 537 666 786 962 1074 1179 1443 1611 1703 2327 2358 2886 3222 3406 4329 4654 4847 5109 6623 6981 8658 9694 10218 13246 13962 14541 15327 19869 20943 23449 29082 30654 39738 41886 43623 46898 59607 63011 70347 86099 87246 119214 126022 140694 172198 189033 211041 258297 304837 378066 422082 516594 567099 609674 774891 867613 914511 1134198 1549782 1735226 1829022 2602839 2743533 5205678 5487066 7808517 11278969 15617034 22557938 33836907 67673814 101510721 203021442