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122220110102010 = 235191312213739631
BaseRepresentation
bin11011110010100010010110…
…001111110011110111111010
3121000202010110121121121012220
4123302202112033303313322
5112004423241141231020
61111535050553144510
734513053156531234
oct3362422617636772
9530663417547186
10122220110102010
1135a41291976508
121185b0ab6bb136
1353273cb42774b
1422276b0787254
15e1e35b321240
hex6f28963f3dfa

122220110102010 has 128 divisors (see below), whose sum is σ = 311264600739840. Its totient is φ = 30627072403200.

The previous prime is 122220110101949. The next prime is 122220110102053. The reversal of 122220110102010 is 10201011022221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164874895 + ... + 165614525.

It is an arithmetic number, because the mean of its divisors is an integer number (2431754693280).

Almost surely, 2122220110102010 is an apocalyptic number.

122220110102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220110102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155632300369920).

122220110102010 is an abundant number, since it is smaller than the sum of its proper divisors (189044490637830).

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

122220110102010 is a wasteful number, since it uses less digits than its factorization.

122220110102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742004.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122220110102010 its reverse (10201011022221), we get a palindrome (132421121124231).

The spelling of 122220110102010 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred ten million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 131 190 262 285 393 570 655 786 1310 1965 2213 2489 3930 4426 4978 6639 7467 11065 12445 13278 14934 22130 24890 33195 37335 42047 66390 74670 84094 126141 210235 252282 289903 420470 579806 630705 739631 869709 1261410 1449515 1479262 1739418 2218893 2899030 3698155 4348545 4437786 5508157 7396310 8697090 11016314 11094465 14052989 16524471 22188930 27540785 28105978 33048942 42158967 55081570 70264945 82622355 84317934 96891661 140529890 165244710 193783322 210794835 290674983 421589670 484458305 581349966 968916610 1453374915 1636803403 1840941559 2906749830 3273606806 3681883118 4910410209 5522824677 8184017015 9204707795 9820820418 11045649354 16368034030 18409415590 24552051045 27614123385 31099264657 49104102090 55228246770 62198529314 93297793971 155496323285 186595587942 214421245793 310992646570 428842491586 466488969855 643263737379 932977939710 1072106228965 1286527474758 2144212457930 3216318686895 4074003670067 6432637373790 8148007340134 12222011010201 20370018350335 24444022020402 40740036700670 61110055051005 122220110102010