Search a number
-
+
31223130302000 = 2453713171555661
BaseRepresentation
bin1110001100101101100111…
…00101110010011000110000
311002112220100122010221210102
413012112303211302120300
513043024432324131000
6150223412534251532
76401540163411110
oct706266345623060
9132486318127712
1031223130302000
119a4872308540a
1236033031b6ba8
131456436aa9190
1479d2c9801040
153922ba4623d5
hex1c65b3972630

31223130302000 has 160 divisors (see below), whose sum is σ = 92920036320384. Its totient is φ = 9881606016000.

The previous prime is 31223130301997. The next prime is 31223130302003. The reversal of 31223130302000 is 20303132213.

It is an interprime number because it is at equal distance from previous prime (31223130301997) and next prime (31223130302003).

It is a super-2 number, since 2×312231303020002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (31223130302003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85595831 + ... + 85959830.

Almost surely, 231223130302000 is an apocalyptic number.

It is an amenable number.

31223130302000 is an abundant number, since it is smaller than the sum of its proper divisors (61696906018384).

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

31223130302000 is a wasteful number, since it uses less digits than its factorization.

31223130302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171555704 (or 171555688 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31223130302000 its reverse (20303132213), we get a palindrome (31243433434213).

The spelling of 31223130302000 in words is "thirty-one trillion, two hundred twenty-three billion, one hundred thirty million, three hundred two thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6500 7000 7280 9100 11375 13000 14000 18200 22750 26000 36400 45500 91000 182000 171555661 343111322 686222644 857778305 1200889627 1372445288 1715556610 2230223593 2401779254 2744890576 3431113220 4288891525 4460447186 4803558508 6004448135 6862226440 8577783050 8920894372 9607117016 11151117965 12008896270 13724452880 15611565151 17155566100 17841788744 19214234032 21444457625 22302235930 24017792540 30022240675 31223130302 34311132200 35683577488 42888915250 44604471860 48035585080 55755589825 60044481350 62446260604 68622264400 78057825755 85777830500 89208943720 96071170160 111511179650 120088962700 124892521208 150111203375 156115651510 171555661000 178417887440 223022359300 240177925400 249785042416 278777949125 300222406750 312231303020 343111322000 390289128775 446044718600 480355850800 557555898250 600444813500 624462606040 780578257550 892089437200 1115111796500 1200889627000 1248925212080 1561156515100 1951445643875 2230223593000 2401779254000 3122313030200 3902891287750 4460447186000 6244626060400 7805782575500 15611565151000 31223130302000