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242213020230310 = 251729672393068159
BaseRepresentation
bin110111000100101010011101…
…000001111110001010100110
31011202121100010211112211120121
4313010222131001332022212
5223221404231134332220
62215051043025352154
7102006212303066503
oct6704523501761246
91152540124484517
10242213020230310
11701a3a68492118
12231ba60a49865a
13a51c788a42a5c
1443b525bd844aa
151d007b3308eaa
hexdc4a9d07e2a6

242213020230310 has 128 divisors (see below), whose sum is σ = 486703448064000. Its totient is φ = 86364769548288.

The previous prime is 242213020230287. The next prime is 242213020230319. The reversal of 242213020230310 is 13032020312242.

242213020230310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2422130202303102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242213020230319) 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, 77410011 + ... + 80478169.

It is an arithmetic number, because the mean of its divisors is an integer number (3802370688000).

Almost surely, 2242213020230310 is an apocalyptic number.

242213020230310 is an abundant number, since it is smaller than the sum of its proper divisors (244490427833690).

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

242213020230310 is a wasteful number, since it uses less digits than its factorization.

242213020230310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068518.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 242213020230310 its reverse (13032020312242), we get a palindrome (255245040542552).

The spelling of 242213020230310 in words is "two hundred forty-two trillion, two hundred thirteen billion, twenty million, two hundred thirty thousand, three hundred ten".

Divisors: 1 2 5 10 17 29 34 58 67 85 134 145 170 239 290 335 478 493 670 986 1139 1195 1943 2278 2390 2465 3886 4063 4930 5695 6931 8126 9715 11390 13862 16013 19430 20315 32026 33031 34655 40630 66062 69310 80065 117827 160130 165155 235654 272221 330310 464377 544442 589135 928754 1178270 1361105 2321885 2722210 3068159 4643770 6136318 7894409 15340795 15788818 30681590 39472045 52158703 78944090 88976611 104317406 177953222 205566653 260793515 411133306 444883055 521587030 733290001 889766110 1027833265 1466580002 1512602387 2055666530 3025204774 3494633101 3666450005 5961432937 6989266202 7332900010 7563011935 11922865874 12465930017 15126023870 17473165505 21265410029 24931860034 29807164685 34946331010 42530820058 49130430067 59614329370 62329650085 98260860134 101344359929 106327050145 124659300170 202688719858 212654100290 245652150335 361511970493 491304300670 506721799645 723023940986 835217311139 1013443599290 1424782471943 1670434622278 1807559852465 2849564943886 3615119704930 4176086555695 7123912359715 8352173111390 14247824719430 24221302023031 48442604046062 121106510115155 242213020230310