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22010102010 = 23251323673943
BaseRepresentation
bin10100011111111001…
…111000000011111010
32002210220220000211100
4110133321320003322
5330034041231020
614040012512230
71406300531421
oct243771700372
962726800740
1022010102010
119375146456
12432317b676
1320c9c7b100
1410cb2502b8
1588c476a90
hex51fe780fa

22010102010 has 144 divisors (see below), whose sum is σ = 62151508224. Its totient is φ = 5401738368.

The previous prime is 22010101973. The next prime is 22010102039. The reversal of 22010102010 is 1020101022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22010101983 and 22010102001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5580099 + ... + 5584041.

It is an arithmetic number, because the mean of its divisors is an integer number (431607696).

Almost surely, 222010102010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31075754112).

22010102010 is an abundant number, since it is smaller than the sum of its proper divisors (40141406214).

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

22010102010 is a wasteful number, since it uses less digits than its factorization.

22010102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22010102010 its reverse (1020101022), we get a palindrome (23030203032).

The spelling of 22010102010 in words is "twenty-two billion, ten million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 367 390 507 585 734 845 1014 1101 1170 1521 1690 1835 2202 2535 3042 3303 3670 3943 4771 5070 5505 6606 7605 7886 9542 11010 11829 14313 15210 16515 19715 23658 23855 28626 33030 35487 39430 42939 47710 51259 59145 62023 70974 71565 85878 102518 118290 124046 143130 153777 177435 186069 214695 256295 307554 310115 354870 372138 429390 461331 512590 558207 620230 666367 768885 922662 930345 1116414 1332734 1447081 1537770 1860690 1999101 2306655 2791035 2894162 3331835 3998202 4341243 4613310 5582070 5997303 6663670 7235405 8682486 9995505 11994606 13023729 14470810 18812053 19991010 21706215 26047458 29986515 37624106 43412430 56436159 59973030 65118645 94060265 112872318 130237290 169308477 188120530 244556689 282180795 338616954 489113378 564361590 733670067 846542385 1222783445 1467340134 1693084770 2201010201 2445566890 3668350335 4402020402 7336700670 11005051005 22010102010