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21311020300 = 225223113167491
BaseRepresentation
bin10011110110001111…
…000101110100001100
32001000012110000000011
4103312033011310030
5322121110122200
613442401043004
71353051453343
oct236617056414
961005400004
1021311020300
119046573a79
124169026464
1320181a09ab
141062474b5a
1584add65ba
hex4f63c5d0c

21311020300 has 144 divisors (see below), whose sum is σ = 49073859072. Its totient is φ = 8016870400.

The previous prime is 21311020253. The next prime is 21311020309. The reversal of 21311020300 is 302011312.

It is not an unprimeable number, because it can be changed into a prime (21311020309) 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, 43403055 + ... + 43403545.

It is an arithmetic number, because the mean of its divisors is an integer number (340790688).

Almost surely, 221311020300 is an apocalyptic number.

21311020300 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 21311020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24536929536).

21311020300 is an abundant number, since it is smaller than the sum of its proper divisors (27762838772).

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

21311020300 is a wasteful number, since it uses less digits than its factorization.

21311020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21311020300 its reverse (302011312), we get a palindrome (21613031612).

The spelling of 21311020300 in words is "twenty-one billion, three hundred eleven million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 113 115 167 226 230 334 452 460 491 565 575 668 835 982 1130 1150 1670 1964 2260 2300 2455 2599 2825 3340 3841 4175 4910 5198 5650 7682 8350 9820 10396 11293 11300 12275 12995 15364 16700 18871 19205 22586 24550 25990 37742 38410 45172 49100 51980 55483 56465 64975 75484 76820 81997 94355 96025 110966 112930 129950 163994 188710 192050 221932 225860 259900 277415 282325 327988 377420 384100 409985 434033 471775 554830 564650 819970 868066 943550 1109660 1129300 1276109 1387075 1639940 1736132 1885931 1887100 2049925 2170165 2552218 2774150 3771862 4099850 4340330 5104436 5548300 6380545 7543724 8199700 8680660 9265661 9429655 10850825 12761090 18531322 18859310 21701650 25522180 31902725 37062644 37718620 43403300 46328305 47148275 63805450 92656610 94296550 127610900 185313220 188593100 213110203 231641525 426220406 463283050 852440812 926566100 1065551015 2131102030 4262204060 5327755075 10655510150 21311020300