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20221203132 = 2232131014191021
BaseRepresentation
bin10010110101010001…
…110001001010111100
31221012020202112220100
4102311101301022330
5312403112000012
613142310321100
71314046250664
oct226521611274
957166675810
1020221203132
118637384229
123b04059190
131ba3476b70
14d9b8271a4
157d53b28dc
hex4b54712bc

20221203132 has 144 divisors (see below), whose sum is σ = 55778879520. Its totient is φ = 6139584000.

The previous prime is 20221203109. The next prime is 20221203161. The reversal of 20221203132 is 23130212202.

It is a super-2 number, since 2×202212031322 (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19804782 + ... + 19805802.

It is an arithmetic number, because the mean of its divisors is an integer number (387353330).

Almost surely, 220221203132 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 20221203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27889439760).

20221203132 is an abundant number, since it is smaller than the sum of its proper divisors (35557676388).

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

20221203132 is a wasteful number, since it uses less digits than its factorization.

20221203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1559 counting only the distinct ones).

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

Adding to 20221203132 its reverse (23130212202), we get a palindrome (43351415334).

The spelling of 20221203132 in words is "twenty billion, two hundred twenty-one million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 404 419 468 606 838 909 1021 1212 1257 1313 1676 1818 2042 2514 2626 3063 3636 3771 3939 4084 5028 5252 5447 6126 7542 7878 9189 10894 11817 12252 13273 15084 15756 16341 18378 21788 23634 26546 32682 36756 39819 42319 47268 49023 53092 65364 79638 84638 98046 103121 119457 126957 159276 169276 196092 206242 238914 253914 309363 380871 412484 427799 477828 507828 550147 618726 761742 855598 928089 1100294 1237452 1283397 1340573 1523484 1650441 1711196 1856178 2200588 2566794 2681146 3300882 3712356 3850191 4021719 4951323 5133588 5362292 5561387 6601764 7700382 8043438 9902646 11122774 12065157 15400764 16086876 16684161 19805292 22245548 24130314 33368322 43207699 48260628 50052483 66736644 86415398 100104966 129623097 172830796 200209932 259246194 388869291 518492388 561700087 777738582 1123400174 1555477164 1685100261 2246800348 3370200522 5055300783 6740401044 10110601566 20221203132