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242211054500310 = 235787710871209889
BaseRepresentation
bin110111000100101000100111…
…110111010011100111010110
31011202121011001211200101221210
4313010220213313103213112
5223221341214423002220
62215050120005122250
7102006112503466320
oct6704504767234726
91152534054611853
10242211054500310
11701a3149922075
12231ba1600b9386
13a51c5347070cc
1443b5112c8a610
151d006ea9656e0
hexdc4a27dd39d6

242211054500310 has 128 divisors (see below), whose sum is σ = 665720271912960. Its totient is φ = 55248480497664.

The previous prime is 242211054500299. The next prime is 242211054500323. The reversal of 242211054500310 is 13005450112242.

It is a super-2 number, since 2×2422110545003102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 199587846 + ... + 200797734.

It is an arithmetic number, because the mean of its divisors is an integer number (5200939624320).

Almost surely, 2242211054500310 is an apocalyptic number.

242211054500310 is an abundant number, since it is smaller than the sum of its proper divisors (423509217412650).

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

242211054500310 is a wasteful number, since it uses less digits than its factorization.

242211054500310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211870.

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 242211054500310 in words is "two hundred forty-two trillion, two hundred eleven billion, fifty-four million, five hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 877 1087 1754 2174 2631 3261 4385 5262 5435 6139 6522 7609 8770 10870 12278 13155 15218 16305 18417 22827 26310 30695 32610 36834 38045 45654 61390 76090 92085 114135 184170 228270 953299 1209889 1906598 2419778 2859897 3629667 4766495 5719794 6049445 6673093 7259334 8469223 9532990 12098890 13346186 14299485 16938446 18148335 20019279 25407669 28598970 33365465 36296670 40038558 42346115 50815338 66730930 84692230 100096395 127038345 200192790 254076690 1061072653 1315149343 2122145306 2630298686 3183217959 3945448029 5305363265 6366435918 6575746715 7427508571 7890896058 9206045401 10610726530 13151493430 14855017142 15916089795 18412090802 19727240145 22282525713 27618136203 31832179590 37137542855 39454480290 44565051426 46030227005 55236272406 74275085710 92060454010 111412628565 138090681015 222825257130 276181362030 1153385973811 2306771947622 3460157921433 5766929869055 6920315842866 8073701816677 11533859738110 16147403633354 17300789607165 24221105450031 34601579214330 40368509083385 48442210900062 80737018166770 121105527250155 242211054500310