Search a number
-
+
2323011031240 = 2351741509163697
BaseRepresentation
bin100001110011011110001…
…111110101000011001000
322020002002122002101022111
4201303132033311003020
5301030011310444430
64535102044232104
7326555243653144
oct41633617650310
98202078071274
102323011031240
11816202191479
1231626b83b634
1313b09c8151a3
1480611b52224
1540660929c2a
hex21cde3f50c8

2323011031240 has 128 divisors (see below), whose sum is σ = 5680386079200. Its totient is φ = 851533496320.

The previous prime is 2323011031219. The next prime is 2323011031307. The reversal of 2323011031240 is 421301103232.

2323011031240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 513334992676 + 1809676038564 = 716474^2 + 1345242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14109072 + ... + 14272768.

Almost surely, 22323011031240 is an apocalyptic number.

2323011031240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323011031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840193039600).

2323011031240 is an abundant number, since it is smaller than the sum of its proper divisors (3357375047960).

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

2323011031240 is a wasteful number, since it uses less digits than its factorization.

2323011031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164275 (or 164271 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2323011031240 its reverse (421301103232), we get a palindrome (2744312134472).

The spelling of 2323011031240 in words is "two trillion, three hundred twenty-three billion, eleven million, thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 509 680 697 820 1018 1394 1640 2036 2545 2788 3485 4072 5090 5576 6970 8653 10180 13940 17306 20360 20869 27880 34612 41738 43265 69224 83476 86530 104345 163697 166952 173060 208690 327394 346120 354773 417380 654788 709546 818485 834760 1309576 1419092 1636970 1773865 2782849 2838184 3273940 3547730 5565698 6547880 6711577 7095460 11131396 13423154 13914245 14190920 22262792 26846308 27828490 33557885 53692616 55656980 67115770 83321773 111313960 114096809 134231540 166643546 228193618 268463080 333287092 416608865 456387236 570484045 666574184 833217730 912774472 1140968090 1416470141 1666435460 2281936180 2832940282 3332870920 3416192693 4563872360 5665880564 6832385386 7082350705 11331761128 13664770772 14164701410 17080963465 27329541544 28329402820 34161926930 56658805640 58075275781 68323853860 116150551562 136647707720 232301103124 290376378905 464602206248 580752757810 1161505515620 2323011031240