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212144314011110 = 251323537091888157
BaseRepresentation
bin110000001111000110110010…
…011110100100110111100110
31000211010210112222222111211022
4300033012302132210313212
5210301233023341323420
62031105430305411142
762453630603226305
oct6017066236446746
91024123488874738
10212144314011110
1161660997739728
121b962ba5639ab2
13914b17a227440
143a55ba7b6443c
15197d5617d1c25
hexc0f1b27a4de6

212144314011110 has 128 divisors (see below), whose sum is σ = 437826681250560. Its totient is φ = 73407154968576.

The previous prime is 212144314011103. The next prime is 212144314011139. The reversal of 212144314011110 is 11110413441212.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 212144314011110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111411152 + ... + 113299308.

It is an arithmetic number, because the mean of its divisors is an integer number (3420520947270).

Almost surely, 2212144314011110 is an apocalyptic number.

212144314011110 is an abundant number, since it is smaller than the sum of its proper divisors (225682367239450).

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

212144314011110 is a wasteful number, since it uses less digits than its factorization.

212144314011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888962.

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 212144314011110 its reverse (11110413441212), we get a palindrome (223254727452322).

The spelling of 212144314011110 in words is "two hundred twelve trillion, one hundred forty-four billion, three hundred fourteen million, eleven thousand, one hundred ten".

Divisors: 1 2 5 10 13 23 26 46 53 65 106 115 130 230 265 299 530 598 689 709 1219 1378 1418 1495 2438 2990 3445 3545 6095 6890 7090 9217 12190 15847 16307 18434 31694 32614 37577 46085 75154 79235 81535 92170 158470 163070 187885 211991 375770 423982 488501 864271 977002 1059955 1728542 1888157 2119910 2442505 3776314 4321355 4885010 8642710 9440785 11235523 18881570 22471046 24546041 43427611 49092082 56177615 86855222 100072321 112355230 122730205 200144642 217138055 245460410 434276110 500361605 564558943 1000723210 1129117886 1300940173 1338703313 2301663383 2601880346 2677406626 2822794715 4603326766 5645589430 6504700865 6693516565 11508316915 13009401730 13387033130 17403143069 23016633830 29921623979 30790176199 34806286138 59843247958 61580352398 70951275589 87015715345 141902551178 149608119895 153950880995 174031430690 299216239790 307901761990 354756377945 400272290587 709512755890 800544581174 922366582657 1631879338547 1844733165314 2001361452935 3263758677094 4002722905870 4611832913285 8159396692735 9223665826570 16318793385470 21214431401111 42428862802222 106072157005555 212144314011110