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12210100320 = 2535112210229
BaseRepresentation
bin10110101111100011…
…10101100001100000
31011111221110100210210
423113301311201200
5200001241202240
65335332454120
7611402066055
oct132761654140
934457410723
1012210100320
1151a6313100
12244917a340
1311c7847242
1483b8ad02c
154b6e22780
hex2d7c75860

12210100320 has 144 divisors (see below), whose sum is σ = 42276412080. Its totient is φ = 2960010240.

The previous prime is 12210100277. The next prime is 12210100337. The reversal of 12210100320 is 2300101221.

12210100320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12210100296 and 12210100305.

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 23 ways as a sum of consecutive naturals, for example, 47035 + ... + 163194.

It is an arithmetic number, because the mean of its divisors is an integer number (293586195).

Almost surely, 212210100320 is an apocalyptic number.

12210100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210100320 is an abundant number, since it is smaller than the sum of its proper divisors (30066311760).

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

12210100320 is a wasteful number, since it uses less digits than its factorization.

12210100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210269 (or 210250 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12210100320 its reverse (2300101221), we get a palindrome (14510201541).

Subtracting from 12210100320 its reverse (2300101221), we obtain a palindrome (9909999099).

The spelling of 12210100320 in words is "twelve billion, two hundred ten million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 210229 420458 630687 840916 1051145 1261374 1681832 2102290 2312519 2522748 3153435 3363664 4204580 4625038 5045496 6306870 6727328 6937557 8409160 9250076 10090992 11562595 12613740 13875114 16818320 18500152 20181984 23125190 25227480 25437709 27750228 33636640 34687785 37000304 46250380 50454960 50875418 55500456 69375570 74000608 76313127 92500760 100909920 101750836 111000912 127188545 138751140 152626254 185001520 203501672 222001824 254377090 277502280 305252508 370003040 381565635 407003344 508754180 555004560 610505016 763131270 814006688 1017508360 1110009120 1221010032 1526262540 2035016720 2442020064 3052525080 4070033440 6105050160 12210100320