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201330201402 = 23411229354169
BaseRepresentation
bin1011101110000000110…
…1110001001100111010
3201020200001021220210000
42323200031301030322
511244311012421102
6232253444533430
720355102322131
oct2734015611472
9636601256700
10201330201402
1178424717200
12330290b1276
1315ca6a9c9b5
149a5ca24918
15538512d01c
hex2ee037133a

201330201402 has 120 divisors (see below), whose sum is σ = 512969202900. Its totient is φ = 58905221760.

The previous prime is 201330201383. The next prime is 201330201463. The reversal of 201330201402 is 204102033102.

201330201402 is a `hidden beast` number, since 20 + 13 + 30 + 201 + 402 = 666.

201330201402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 172971978201 + 28358223201 = 415899^2 + 168399^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 391374 + ... + 745542.

Almost surely, 2201330201402 is an apocalyptic number.

201330201402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201330201402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256484601450).

201330201402 is an abundant number, since it is smaller than the sum of its proper divisors (311639001498).

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

201330201402 is a wasteful number, since it uses less digits than its factorization.

201330201402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354234 (or 354214 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201330201402 its reverse (204102033102), we get a palindrome (405432234504).

The spelling of 201330201402 in words is "two hundred one billion, three hundred thirty million, two hundred one thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 121 162 174 198 242 261 297 319 363 522 594 638 726 783 891 957 1089 1566 1782 1914 2178 2349 2871 3267 3509 4698 5742 6534 7018 8613 9801 10527 17226 19602 21054 25839 31581 51678 63162 94743 189486 284229 354169 568458 708338 1062507 2125014 3187521 3895859 6375042 7791718 9562563 10270901 11687577 19125126 20541802 23375154 28687689 30812703 35062731 42854449 57375378 61625406 70125462 85708898 92438109 105188193 112979911 128563347 184876218 210376386 225959822 257126694 277314327 315564579 338939733 385690041 554628654 631129158 677879466 771380082 831942981 1016819199 1157070123 1242779021 1663885962 2033638398 2314140246 2485558042 3050457597 3471210369 3728337063 6100915194 6942420738 7456674126 9151372791 11185011189 18302745582 22370022378 33555033567 67110067134 100665100701 201330201402