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122013003310 = 251141179359421
BaseRepresentation
bin111000110100010001…
…0101010111000101110
3102122221021222202220121
41301220202222320232
53444340312101220
6132015122035154
711546411262502
oct1615042527056
9378837882817
10122013003310
1147822183320
121b791aa8aba
13b6762652a3
145c96828302
153291a85eaa
hex1c688aae2e

122013003310 has 128 divisors (see below), whose sum is σ = 248079283200. Its totient is φ = 42822528000.

The previous prime is 122013003271. The next prime is 122013003317. The reversal of 122013003310 is 13300310221.

It is a super-2 number, since 2×1220130033102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122013003317) 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, 289816900 + ... + 289817320.

It is an arithmetic number, because the mean of its divisors is an integer number (1938119400).

Almost surely, 2122013003310 is an apocalyptic number.

122013003310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122013003310 is an abundant number, since it is smaller than the sum of its proper divisors (126066279890).

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

122013003310 is a wasteful number, since it uses less digits than its factorization.

122013003310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 122013003310 its reverse (13300310221), we get a palindrome (135313313531).

The spelling of 122013003310 in words is "one hundred twenty-two billion, thirteen million, three thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 41 55 82 110 179 205 358 359 410 421 451 718 842 895 902 1790 1795 1969 2105 2255 3590 3938 3949 4210 4510 4631 7339 7898 9262 9845 14678 14719 17261 19690 19745 23155 29438 34522 36695 39490 46310 64261 73390 73595 75359 80729 86305 128522 147190 150718 151139 161458 161909 172610 189871 302278 321305 323818 376795 379742 403645 642610 706871 753590 755695 807290 809545 828949 949355 1413742 1511390 1619090 1657898 1662529 1898710 2634701 3089719 3325058 3534355 4144745 5269402 6179438 6196699 7068710 8289490 8312645 12393398 13173505 15448595 16625290 26347010 27053881 28981711 30897190 30983495 33986909 54107762 57963422 61966990 67973818 68163689 135269405 136327378 144908555 169934545 270538810 289817110 297592691 339869090 340818445 595185382 681636890 1109209121 1487963455 2218418242 2975926910 5546045605 11092091210 12201300331 24402600662 61006501655 122013003310