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20213103300 = 223521313737831
BaseRepresentation
bin10010110100110010…
…110111101011000100
31221011200112001000120
4102310302313223010
5312344023301200
613141420541540
71313620354215
oct226462675304
957150461016
1020213103300
118632851755
123b013b18b0
131ba189c170
14d9a71940c
157d48129a0
hex4b4cb7ac4

20213103300 has 144 divisors (see below), whose sum is σ = 63443356032. Its totient is φ = 4939084800.

The previous prime is 20213103257. The next prime is 20213103307. The reversal of 20213103300 is 330131202.

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 20213103300.

It is not an unprimeable number, because it can be changed into a prime (20213103307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515385 + ... + 553215.

Almost surely, 220213103300 is an apocalyptic number.

20213103300 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 20213103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31721678016).

20213103300 is an abundant number, since it is smaller than the sum of its proper divisors (43230252732).

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

20213103300 is a wasteful number, since it uses less digits than its factorization.

20213103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37998 (or 37991 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20213103300 its reverse (330131202), we get a palindrome (20543234502).

The spelling of 20213103300 in words is "twenty billion, two hundred thirteen million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 137 150 156 195 260 274 300 325 390 411 548 650 685 780 822 975 1300 1370 1644 1781 1950 2055 2740 3425 3562 3900 4110 5343 6850 7124 8220 8905 10275 10686 13700 17810 20550 21372 26715 35620 37831 41100 44525 53430 75662 89050 106860 113493 133575 151324 178100 189155 226986 267150 378310 453972 491803 534300 567465 756620 945775 983606 1134930 1475409 1891550 1967212 2269860 2459015 2837325 2950818 3783100 4918030 5182847 5674650 5901636 7377045 9836060 10365694 11349300 12295075 14754090 15548541 20731388 24590150 25914235 29508180 31097082 36885225 49180300 51828470 62194164 67377011 73770450 77742705 103656940 129571175 134754022 147540900 155485410 202131033 259142350 269508044 310970820 336885055 388713525 404262066 518284700 673770110 777427050 808524132 1010655165 1347540220 1554854100 1684425275 2021310330 3368850550 4042620660 5053275825 6737701100 10106551650 20213103300