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1223221100010 = 2357133712109901
BaseRepresentation
bin10001110011001101101…
…010001011110111101010
311022221100101022012202120
4101303031222023313222
5130020124100200020
62333535013212110
7154242362540040
oct21631552136752
94287311265676
101223221100010
11431846470238
1217909a331036
138b47040b180
14432c052c390
1521c43621740
hex11ccda8bdea

1223221100010 has 128 divisors (see below), whose sum is σ = 3710861489664. Its totient is φ = 251110886400.

The previous prime is 1223221100009. The next prime is 1223221100011. The reversal of 1223221100010 is 100011223221.

It is an interprime number because it is at equal distance from previous prime (1223221100009) and next prime (1223221100011).

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

It is not an unprimeable number, because it can be changed into a prime (1223221100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5953941 + ... + 6155960.

It is an arithmetic number, because the mean of its divisors is an integer number (28991105388).

Almost surely, 21223221100010 is an apocalyptic number.

1223221100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1223221100010 is an abundant number, since it is smaller than the sum of its proper divisors (2487640389654).

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

1223221100010 is a wasteful number, since it uses less digits than its factorization.

1223221100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12109968.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1223221100010 its reverse (100011223221), we get a palindrome (1323232323231).

It can be divided in two parts, 1223221 and 100010, that added together give a palindrome (1323231).

The spelling of 1223221100010 in words is "one trillion, two hundred twenty-three billion, two hundred twenty-one million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2405 2590 2730 2886 3367 3885 4810 6734 7215 7770 10101 14430 16835 20202 33670 50505 101010 12109901 24219802 36329703 60549505 72659406 84769307 121099010 157428713 169538614 181648515 254307921 314857426 363297030 423846535 448066337 472286139 508615842 787143565 847693070 896132674 944572278 1102000991 1271539605 1344199011 1574287130 2204001982 2240331685 2361430695 2543079210 2688398022 3136464359 3306002973 4480663370 4722861390 5510004955 5824862381 6272928718 6612005946 6720995055 9409393077 11020009910 11649724762 13441990110 15682321795 16530014865 17474587143 18818786154 29124311905 31364643590 33060029730 34949174286 40774036667 47046965385 58248623810 81548073334 87372935715 94093930770 122322110001 174745871430 203870183335 244644220002 407740366670 611610550005 1223221100010