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120210312213030 = 235132358722830277
BaseRepresentation
bin11011010101010010100100…
…111101010011001000100110
3120202121222211100022102022210
4123111102210331103020212
5111224011204411304110
61103355504405304250
734214623412410164
oct3325224475231046
9522558740272283
10120210312213030
11353369a8405716
1211595692405086
13520ca2601c040
1421982d2946234
15dd6e2d0aa520
hex6d54a4f53226

120210312213030 has 128 divisors (see below), whose sum is σ = 324758330201088. Its totient is φ = 28255480146432.

The previous prime is 120210312212999. The next prime is 120210312213059. The reversal of 120210312213030 is 30312213012021.

It is a super-2 number, since 2×1202103122130302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120210312212988 and 120210312213006.

It is a congruent number.

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, 6149749 + ... + 16680528.

It is an arithmetic number, because the mean of its divisors is an integer number (2537174454696).

Almost surely, 2120210312213030 is an apocalyptic number.

120210312213030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120210312213030 is an abundant number, since it is smaller than the sum of its proper divisors (204548017988058).

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

120210312213030 is a wasteful number, since it uses less digits than its factorization.

120210312213030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22830910.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120210312213030 its reverse (30312213012021), we get a palindrome (150522525225051).

The spelling of 120210312213030 in words is "one hundred twenty trillion, two hundred ten billion, three hundred twelve million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 587 598 690 897 1174 1495 1761 1794 2935 2990 3522 4485 5870 7631 8805 8970 13501 15262 17610 22893 27002 38155 40503 45786 67505 76310 81006 114465 135010 175513 202515 228930 351026 405030 526539 877565 1053078 1755130 2632695 5265390 22830277 45660554 68490831 114151385 136981662 228302770 296793601 342454155 525096371 593587202 684908310 890380803 1050192742 1483968005 1575289113 1780761606 2625481855 2967936010 3150578226 4451904015 5250963710 6826252823 7876445565 8903808030 13401372599 13652505646 15752891130 20478758469 26802745198 34131264115 40204117797 40957516938 67006862995 68262528230 80408235594 102393792345 134013725990 174217843787 201020588985 204787584690 308231569777 348435687574 402041177970 522653531361 616463139554 871089218935 924694709331 1045307062722 1541157848885 1742178437870 1849389418662 2613267656805 3082315697770 4007010407101 4623473546655 5226535313610 8014020814202 9246947093310 12021031221303 20035052035505 24042062442606 40070104071010 60105156106515 120210312213030