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10220313300 = 22352175337811
BaseRepresentation
bin10011000010010110…
…11001101011010100
3222101021022201011020
421201023121223110
5131412400011200
64410052441140
7511161141531
oct114113315324
928337281136
1010220313300
11437511171a
121b929191b0
13c6b537682
146cd511d88
153ec3caea0
hex2612d9ad4

10220313300 has 144 divisors (see below), whose sum is σ = 31901833152. Its totient is φ = 2516633600.

The previous prime is 10220313293. The next prime is 10220313377. The reversal of 10220313300 is 331302201.

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 10220313300.

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, 251395 + ... + 289205.

It is an arithmetic number, because the mean of its divisors is an integer number (221540508).

Almost surely, 210220313300 is an apocalyptic number.

10220313300 is a gapful number since it is divisible by the number (10) 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 10220313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15950916576).

10220313300 is an abundant number, since it is smaller than the sum of its proper divisors (21681519852).

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

10220313300 is a wasteful number, since it uses less digits than its factorization.

10220313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37898 (or 37891 counting only the distinct ones).

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

Adding to 10220313300 its reverse (331302201), we get a palindrome (10551615501).

The spelling of 10220313300 in words is "ten billion, two hundred twenty million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 53 60 68 75 85 100 102 106 150 159 170 204 212 255 265 300 318 340 425 510 530 636 795 850 901 1020 1060 1275 1325 1590 1700 1802 2550 2650 2703 3180 3604 3975 4505 5100 5300 5406 7950 9010 10812 13515 15900 18020 22525 27030 37811 45050 54060 67575 75622 90100 113433 135150 151244 189055 226866 270300 378110 453732 567165 642787 756220 945275 1134330 1285574 1890550 1928361 2003983 2268660 2571148 2835825 3213935 3781100 3856722 4007966 5671650 6011949 6427870 7713444 8015932 9641805 10019915 11343300 12023898 12855740 16069675 19283610 20039830 24047796 30059745 32139350 34067711 38567220 40079660 48209025 50099575 60119490 64278700 68135422 96418050 100199150 102203133 120238980 136270844 150298725 170338555 192836100 200398300 204406266 300597450 340677110 408812532 511015665 601194900 681354220 851692775 1022031330 1703385550 2044062660 2555078325 3406771100 5110156650 10220313300