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10111212210 = 23511294324571
BaseRepresentation
bin10010110101010110…
…01101101010110010
3222002200000210121010
421122223031222302
5131201432242320
64351154211350
7505364612541
oct113253155262
928080023533
1010111212210
114319574430
121b62283b56
13c51a58508
146bcc32158
153e2a29ae0
hex25aacdab2

10111212210 has 128 divisors (see below), whose sum is σ = 28023874560. Its totient is φ = 2311545600.

The previous prime is 10111212203. The next prime is 10111212211. The reversal of 10111212210 is 1221211101.

It is a super-2 number, since 2×101112122102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10111212211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399225 + ... + 423795.

It is an arithmetic number, because the mean of its divisors is an integer number (218936520).

Almost surely, 210111212210 is an apocalyptic number.

10111212210 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 10111212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14011937280).

10111212210 is an abundant number, since it is smaller than the sum of its proper divisors (17912662350).

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

10111212210 is a wasteful number, since it uses less digits than its factorization.

10111212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24664.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111212210 its reverse (1221211101), we get a palindrome (11332423311).

The spelling of 10111212210 in words is "ten billion, one hundred eleven million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 43 55 58 66 86 87 110 129 145 165 174 215 258 290 319 330 430 435 473 638 645 870 946 957 1247 1290 1419 1595 1914 2365 2494 2838 3190 3741 4730 4785 6235 7095 7482 9570 12470 13717 14190 18705 24571 27434 37410 41151 49142 68585 73713 82302 122855 137170 147426 205755 245710 270281 368565 411510 540562 712559 737130 810843 1056553 1351405 1425118 1621686 2113106 2137677 2702810 3169659 3562795 4054215 4275354 5282765 6339318 7125590 7838149 8108430 10565530 10688385 11622083 15676298 15848295 21376770 23244166 23514447 30640037 31696590 34866249 39190745 47028894 58110415 61280074 69732498 78381490 91920111 116220830 117572235 153200185 174331245 183840222 235144470 306400370 337040407 348662490 459600555 674080814 919201110 1011121221 1685202035 2022242442 3370404070 5055606105 10111212210