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20211330132 = 223272326313259
BaseRepresentation
bin10010110100101100…
…000110110001010100
31221011120011221200200
4102310230012301110
5312343100031012
613141314540500
71313566320510
oct226454066124
957146157620
1020211330132
118631850524
123b00897730
131ba13cb056
14d9a3b7140
157d45b23dc
hex4b4b06c54

20211330132 has 144 divisors (see below), whose sum is σ = 61163182080. Its totient is φ = 5502176064.

The previous prime is 20211330071. The next prime is 20211330149. The reversal of 20211330132 is 23103311202.

20211330132 is a `hidden beast` number, since 202 + 1 + 1 + 330 + 132 = 666.

It is a super-2 number, since 2×202113301322 (a number of 21 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517719 + ... + 1530977.

It is an arithmetic number, because the mean of its divisors is an integer number (424744320).

Almost surely, 220211330132 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 20211330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30581591040).

20211330132 is an abundant number, since it is smaller than the sum of its proper divisors (40951851948).

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

20211330132 is a wasteful number, since it uses less digits than its factorization.

20211330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562 (or 13557 counting only the distinct ones).

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

Adding to 20211330132 its reverse (23103311202), we get a palindrome (43314641334).

The spelling of 20211330132 in words is "twenty billion, two hundred eleven million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 263 276 322 414 483 526 644 789 828 966 1052 1449 1578 1841 1932 2367 2898 3156 3682 4734 5523 5796 6049 7364 9468 11046 12098 13259 16569 18147 22092 24196 26518 33138 36294 39777 42343 53036 54441 66276 72588 79554 84686 92813 108882 119331 127029 159108 169372 185626 217764 238662 254058 278439 304957 371252 381087 477324 508116 556878 609914 762174 835317 914871 1113756 1219828 1524348 1670634 1829742 2134699 2744613 3341268 3487117 3659484 4269398 5489226 6404097 6974234 8538796 10461351 10978452 12808194 13948468 19212291 20922702 24409819 25616388 31384053 38424582 41845404 48819638 62768106 73229457 76849164 80203691 97639276 125536212 146458914 160407382 219688371 240611073 292917828 320814764 439376742 481222146 561425837 721833219 878753484 962444292 1122851674 1443666438 1684277511 2245703348 2887332876 3368555022 5052832533 6737110044 10105665066 20211330132