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203332101102 = 232134368329587
BaseRepresentation
bin1011110101011110001…
…0011010001111101110
3201102211120012221220100
42331113202122033232
511312411004213402
6233224240331530
720455521225324
oct2752742321756
9642746187810
10203332101102
1179261741069
12334a7613ba6
1316235760930
149bac855d14
155450c6871c
hex2f5789a3ee

203332101102 has 96 divisors (see below), whose sum is σ = 486202324608. Its totient is φ = 61017219648.

The previous prime is 203332101101. The next prime is 203332101157. The reversal of 203332101102 is 201101233302.

203332101102 is a `hidden beast` number, since 20 + 333 + 210 + 1 + 102 = 666.

It is a super-2 number, since 2×2033321011022 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203332101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6857553 + ... + 6887139.

It is an arithmetic number, because the mean of its divisors is an integer number (5064607548).

Almost surely, 2203332101102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203332101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243101162304).

203332101102 is an abundant number, since it is smaller than the sum of its proper divisors (282870223506).

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

203332101102 is a wasteful number, since it uses less digits than its factorization.

203332101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30334 (or 30331 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203332101102 its reverse (201101233302), we get a palindrome (404433334404).

The spelling of 203332101102 in words is "two hundred three billion, three hundred thirty-two million, one hundred one thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 683 774 1118 1366 1677 2049 3354 4098 5031 6147 8879 10062 12294 17758 26637 29369 29587 53274 58738 59174 79911 88107 88761 159822 176214 177522 264321 266283 381797 384631 528642 532566 763594 769262 1145391 1153893 1272241 2290782 2307786 2544482 3436173 3461679 3816723 6872346 6923358 7633446 11450169 16539133 20207921 22900338 33078266 40415842 49617399 60623763 99234798 121247526 148852197 181871289 262702973 297704394 363742578 525405946 788108919 868940603 1576217838 1737881206 2364326757 2606821809 4728653514 5213643618 7820465427 11296227839 15640930854 22592455678 33888683517 67777367034 101666050551 203332101102