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30312301122010 = 2541233397853937
BaseRepresentation
bin1101110010001101000011…
…11100001101000111011010
310222022211100101100112022201
412321012201330031013122
512433114043041401020
6144245140124040414
76245664036210205
oct671064174150732
9128284311315281
1030312301122010
11972741381a396
12349688839310a
1313bb58c90407b
1476b1a20d293c
1537875c389a0a
hex1b91a1f0d1da

30312301122010 has 128 divisors (see below), whose sum is σ = 56400302597184. Its totient is φ = 11722455613440.

The previous prime is 30312301121989. The next prime is 30312301122031. The reversal of 30312301122010 is 1022110321303.

It is an interprime number because it is at equal distance from previous prime (30312301121989) and next prime (30312301122031).

It can be written as a sum of positive squares in 32 ways, for example, as 20721951266769 + 9590349855241 = 4552137^2 + 3096829^2 .

It is a super-2 number, since 2×303123011220102 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32350374262 + ... + 32350375198.

Almost surely, 230312301122010 is an apocalyptic number.

30312301122010 is a deficient number, since it is larger than the sum of its proper divisors (26088001475174).

30312301122010 is a wasteful number, since it uses less digits than its factorization.

30312301122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 30312301122010 its reverse (1022110321303), we get a palindrome (31334411443313).

The spelling of 30312301122010 in words is "thirty trillion, three hundred twelve billion, three hundred one million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 10 41 82 205 233 397 410 466 794 853 937 1165 1706 1874 1985 2330 3970 4265 4685 8530 9370 9553 16277 19106 32554 34973 38417 47765 69946 76834 81385 92501 95530 162770 174865 185002 192085 198749 218321 338641 349730 371989 384170 397498 436642 462505 677282 743978 799261 925010 993745 1091605 1598522 1693205 1859945 1987490 2183210 3386410 3719890 3792541 3996305 7585082 7992610 8148709 8951161 13884281 15251549 16297418 17902322 18962705 27768562 30503098 32769701 37925410 40743545 44755805 65539402 69421405 76257745 78903353 81487090 86673437 89511610 138842810 152515490 157806706 163848505 173346874 186227813 317306617 327697010 372455626 394516765 433367185 634613234 789033530 866734370 931139065 1586533085 1862278130 3173066170 3235037473 3553610917 6470074946 7107221834 7635340333 13009571297 15270680666 16175187365 17768054585 26019142594 32350374730 35536109170 38176701665 65047856485 73932441761 76353403330 130095712970 147864883522 369662208805 739324417610 3031230112201 6062460224402 15156150561005 30312301122010