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78031012013310 = 23537313759129587
BaseRepresentation
bin10001101111100000000010…
…110000001010010011111110
3101020021200200101120200022110
4101233200002300022103332
540211430003033411220
6433542541350354450
722302361135305246
oct2157400260122376
9336250611520273
1078031012013310
1122954848020a24
128902b2405ba26
1334703a65481a5
14153aa14b06b26
15904b7433abe0
hex46f802c0a4fe

78031012013310 has 128 divisors (see below), whose sum is σ = 192982332201984. Its totient is φ = 20177860285440.

The previous prime is 78031012013309. The next prime is 78031012013323. The reversal of 78031012013310 is 1331021013087.

It is a super-2 number, since 2×780310120133102 (a number of 29 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, 2637326337 + ... + 2637355923.

It is an arithmetic number, because the mean of its divisors is an integer number (1507674470328).

Almost surely, 278031012013310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78031012013310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96491166100992).

78031012013310 is an abundant number, since it is smaller than the sum of its proper divisors (114951320188674).

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

78031012013310 is a wasteful number, since it uses less digits than its factorization.

78031012013310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37538.

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 78031012013310 its reverse (1331021013087), we get a palindrome (79362033026397).

The spelling of 78031012013310 in words is "seventy-eight trillion, thirty-one billion, twelve million, thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 313 370 555 626 939 1110 1565 1878 3130 4695 7591 9390 11581 15182 22773 23162 29587 34743 37955 45546 57905 59174 69486 75910 88761 113865 115810 147935 173715 177522 227730 280867 295870 347430 443805 561734 842601 887610 1094719 1404335 1685202 2189438 2375983 2808670 3284157 4213005 4751966 5473595 6568314 7127949 8426010 9260731 10947190 11879915 14255898 16420785 18521462 23759830 27782193 32841570 35639745 46303655 55564386 71279490 87911371 92607310 138910965 175822742 224594917 263734113 277821930 342647047 439556855 449189834 527468226 673784751 685294094 879113710 1027941141 1122974585 1318670565 1347569502 1713235235 2055882282 2245949170 2637341130 3368923755 3426470470 5139705705 6737847510 8310011929 10279411410 16620023858 24930035787 41550059645 49860071574 70298209021 83100119290 124650178935 140596418042 210894627063 249300357870 351491045105 421789254126 702982090210 1054473135315 2108946270630 2601033733777 5202067467554 7803101201331 13005168668885 15606202402662 26010337337770 39015506006655 78031012013310