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20212003320 = 23353716727259
BaseRepresentation
bin10010110100101110…
…101011000111111000
31221011121110011010120
4102310232223013320
5312343233101240
613141341213240
71313605123245
oct226456530770
957147404116
1020212003320
118632170283
123b00b61220
131ba15a55a2
14d9a5105cc
157d4696ad0
hex4b4bab1f8

20212003320 has 128 divisors (see below), whose sum is σ = 62650022400. Its totient is φ = 5212601856.

The previous prime is 20212003121. The next prime is 20212003397. The reversal of 20212003320 is 2330021202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20212003320.

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, 727851 + ... + 755109.

It is an arithmetic number, because the mean of its divisors is an integer number (489453300).

Almost surely, 220212003320 is an apocalyptic number.

20212003320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31325011200).

20212003320 is an abundant number, since it is smaller than the sum of its proper divisors (42438019080).

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

20212003320 is a wasteful number, since it uses less digits than its factorization.

20212003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27477 (or 27473 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20212003320 its reverse (2330021202), we get a palindrome (22542024522).

The spelling of 20212003320 in words is "twenty billion, two hundred twelve million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 167 185 222 296 334 370 444 501 555 668 740 835 888 1002 1110 1336 1480 1670 2004 2220 2505 3340 4008 4440 5010 6179 6680 10020 12358 18537 20040 24716 27259 30895 37074 49432 54518 61790 74148 81777 92685 109036 123580 136295 148296 163554 185370 218072 247160 272590 327108 370740 408885 545180 654216 741480 817770 1008583 1090360 1635540 2017166 3025749 3271080 4034332 4552253 5042915 6051498 8068664 9104506 10085830 12102996 13656759 15128745 18209012 20171660 22761265 24205992 27313518 30257490 36418024 40343320 45522530 54627036 60514980 68283795 91045060 109254072 121029960 136567590 168433361 182090120 273135180 336866722 505300083 546270360 673733444 842166805 1010600166 1347466888 1684333610 2021200332 2526500415 3368667220 4042400664 5053000830 6737334440 10106001660 20212003320