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211212110010 = 2351110125125247
BaseRepresentation
bin1100010010110100111…
…0010000100010111010
3202012011201211212222010
43010231032100202322
511430030300010020
6241010212310350
721155014212246
oct3045516204272
9665151755863
10211212110010
1181635803420
1234b266123b6
1316bc0180bb5
14a319207426
155762960de0
hex312d3908ba

211212110010 has 128 divisors (see below), whose sum is σ = 560714047488. Its totient is φ = 50492000000.

The previous prime is 211212109993. The next prime is 211212110029. The reversal of 211212110010 is 10011212112.

It is a super-2 number, since 2×2112121100102 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 8353207 + ... + 8378453.

It is an arithmetic number, because the mean of its divisors is an integer number (4380578496).

Almost surely, 2211212110010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211212110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280357023744).

211212110010 is an abundant number, since it is smaller than the sum of its proper divisors (349501937478).

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

211212110010 is a wasteful number, since it uses less digits than its factorization.

211212110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25620.

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

Adding to 211212110010 its reverse (10011212112), we get a palindrome (221223322122).

The spelling of 211212110010 in words is "two hundred eleven billion, two hundred twelve million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 251 303 330 502 505 606 753 1010 1111 1255 1506 1515 2222 2510 2761 3030 3333 3765 5522 5555 6666 7530 8283 11110 13805 16566 16665 25247 25351 27610 33330 41415 50494 50702 75741 76053 82830 126235 126755 151482 152106 252470 253510 277717 278861 378705 380265 555434 557722 757410 760530 833151 836583 1388585 1394305 1666302 1673166 2549947 2777170 2788610 4165755 4182915 5099894 6336997 7649841 8331510 8365830 12673994 12749735 15299682 19010991 25499470 28049417 31684985 38021982 38249205 56098834 63369970 69706967 76498410 84148251 95054955 139413934 140247085 168296502 190109910 209120901 280494170 348534835 418241802 420741255 640036697 697069670 841482510 1045604505 1280073394 1920110091 2091209010 3200183485 3840220182 6400366970 7040403667 9600550455 14080807334 19201100910 21121211001 35202018335 42242422002 70404036670 105606055005 211212110010