Search a number
-
+
122020010210 = 2573414718461
BaseRepresentation
bin111000110100011110…
…1011001100011100010
3102122221210011202120102
41301220331121203202
53444344110311320
6132015532142402
711546524655000
oct1615075314342
9378853152512
10122020010210
114782612974a
121b794307a02
13b677849697
145c9772da70
1532924bc175
hex1c68f598e2

122020010210 has 128 divisors (see below), whose sum is σ = 267979622400. Its totient is φ = 39944486400.

The previous prime is 122020010171. The next prime is 122020010221. The reversal of 122020010210 is 12010020221.

It is a happy number.

It is a super-3 number, since 3×1220200102103 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122020010191 and 122020010200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6600380 + ... + 6618840.

It is an arithmetic number, because the mean of its divisors is an integer number (2093590800).

Almost surely, 2122020010210 is an apocalyptic number.

122020010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122020010210 is an abundant number, since it is smaller than the sum of its proper divisors (145959612190).

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

122020010210 is a wasteful number, since it uses less digits than its factorization.

122020010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18577 (or 18563 counting only the distinct ones).

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

Adding to 122020010210 its reverse (12010020221), we get a palindrome (134030030431).

The spelling of 122020010210 in words is "one hundred twenty-two billion, twenty million, ten thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 41 47 49 70 82 94 98 205 235 245 287 329 343 410 470 490 574 658 686 1435 1645 1715 1927 2009 2303 2870 3290 3430 3854 4018 4606 9635 10045 11515 13489 14063 16121 18461 19270 20090 23030 26978 28126 32242 36922 67445 70315 80605 92305 94423 129227 134890 140630 161210 184610 188846 258454 472115 646135 660961 756901 867667 904589 944230 1292270 1321922 1513802 1735334 1809178 3304805 3784505 4338335 4522945 5298307 6073669 6332123 6609610 7569010 8676670 9045890 10596614 12147338 12664246 26491535 30368345 31660615 35574347 37088149 42515683 52983070 60736690 63321230 71148694 74176298 85031366 177871735 185440745 212578415 249020429 259617043 297609781 355743470 370881490 425156830 498040858 519234086 595219562 1245102145 1298085215 1488048905 1743143003 2490204290 2596170430 2976097810 3486286006 8715715015 12202001021 17431430030 24404002042 61010005105 122020010210