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10022012210 = 25717531311213
BaseRepresentation
bin10010101010101101…
…11100010100110010
3221212110011222012102
421111112330110302
5131011113342320
64334250300402
7503232461330
oct112526742462
927773158172
1010022012210
11428318a121
121b38427702
13c39426752
146b1052b50
153d9caa175
hex2555bc532

10022012210 has 128 divisors (see below), whose sum is σ = 22429592064. Its totient is φ = 3146158080.

The previous prime is 10022012191. The next prime is 10022012239. The reversal of 10022012210 is 1221022001.

It is a happy number.

10022012210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10022012191 and 10022012200.

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, 8261564 + ... + 8262776.

It is an arithmetic number, because the mean of its divisors is an integer number (175231188).

Almost surely, 210022012210 is an apocalyptic number.

10022012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022012210 is an abundant number, since it is smaller than the sum of its proper divisors (12407579854).

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

10022012210 is a wasteful number, since it uses less digits than its factorization.

10022012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022012210 its reverse (1221022001), we get a palindrome (11243034211).

The spelling of 10022012210 in words is "ten billion, twenty-two million, twelve thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 53 70 85 106 119 131 170 238 262 265 371 530 595 655 742 901 917 1190 1213 1310 1802 1834 1855 2227 2426 3710 4454 4505 4585 6065 6307 6943 8491 9010 9170 11135 12130 12614 13886 15589 16982 20621 22270 31178 31535 34715 41242 42455 48601 63070 64289 69430 77945 84910 97202 103105 118031 128578 144347 155890 158903 206210 236062 243005 288694 317806 321445 450023 486010 590155 642890 721735 794515 826217 900046 1092913 1112321 1180310 1443470 1589030 1652434 2185826 2224642 2250115 2701351 4131085 4500230 5402702 5464565 5561605 7650391 8262170 8421859 10929130 11123210 13506755 15300782 16843718 18909457 27013510 37818914 38251955 42109295 58953013 76503910 84218590 94547285 117906026 143171603 189094570 286343206 294765065 589530130 715858015 1002201221 1431716030 2004402442 5011006105 10022012210