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213422010132 = 223313719380341
BaseRepresentation
bin1100011011000011110…
…0010110111100010100
3202101212202011110000210
43012300330112330110
511444042013311012
6242013354205420
721263540103612
oct3066074267424
9671782143023
10213422010132
118256a185061
1235442723870
1317182c6a7c6
14a4889006b2
15584198623c
hex31b0f16f14

213422010132 has 96 divisors (see below), whose sum is σ = 530683976704. Its totient is φ = 66637209600.

The previous prime is 213422010127. The next prime is 213422010223. The reversal of 213422010132 is 231010224312.

213422010132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213422010099 and 213422010108.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2616282 + ... + 2696622.

Almost surely, 2213422010132 is an apocalyptic number.

It is an amenable number.

213422010132 is an abundant number, since it is smaller than the sum of its proper divisors (317261966572).

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

213422010132 is a wasteful number, since it uses less digits than its factorization.

213422010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80609 (or 80607 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213422010132 its reverse (231010224312), we get a palindrome (444432234444).

The spelling of 213422010132 in words is "two hundred thirteen billion, four hundred twenty-two million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 37 62 74 93 111 124 148 186 193 222 372 386 444 579 772 1147 1158 2294 2316 3441 4588 5983 6882 7141 11966 13764 14282 17949 21423 23932 28564 35898 42846 71796 80341 85692 160682 221371 241023 321364 442742 482046 664113 885484 964092 1328226 2490571 2656452 2972617 4981142 5945234 7471713 8917851 9962284 11890468 14943426 15505813 17835702 29886852 31011626 35671404 46517439 62023252 92151127 93034878 184302254 186069756 276453381 368604508 480680203 552906762 573715081 961360406 1105813524 1147430162 1442040609 1721145243 1922720812 2294860324 2884081218 3442290486 5768162436 6884580972 17785167511 35570335022 53355502533 71140670044 106711005066 213422010132