Search a number
-
+
31330254402300 = 22352769481214723
BaseRepresentation
bin1110001111110101001001…
…01011110011001011111100
311002221010212022001002102210
413013322210223303023330
513101303330111333200
6150344530431420420
76412351624265250
oct707724453631374
9132833768032383
1031330254402300
119a8a0a4917507
12362001a984710
131463579522b89
147a456ca84260
15394e89d2b650
hex1c7ea4af32fc

31330254402300 has 144 divisors (see below), whose sum is σ = 103600681409792. Its totient is φ = 7161064588800.

The previous prime is 31330254402289. The next prime is 31330254402313. The reversal of 31330254402300 is 320445203313.

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 47 ways as a sum of consecutive naturals, for example, 145802739 + ... + 146017461.

Almost surely, 231330254402300 is an apocalyptic number.

31330254402300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31330254402300 is an abundant number, since it is smaller than the sum of its proper divisors (72270427007492).

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

31330254402300 is a wasteful number, since it uses less digits than its factorization.

31330254402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284228 (or 284221 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 31330254402300 its reverse (320445203313), we get a palindrome (31650699605613).

The spelling of 31330254402300 in words is "thirty-one trillion, three hundred thirty billion, two hundred fifty-four million, four hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 69481 138962 208443 214723 277924 347405 416886 429446 486367 644169 694810 833772 858892 972734 1042215 1073615 1288338 1389620 1459101 1503061 1737025 1945468 2084430 2147230 2431835 2576676 2918202 3006122 3220845 3474050 4168860 4294460 4509183 4863670 5211075 5368075 5836404 6012244 6441690 6948100 7295505 7515305 9018366 9727340 10422150 10736150 12159175 12883380 14591010 15030610 16104225 18036732 20844300 21472300 22545915 24318350 29182020 30061220 32208450 36477525 37576525 45091830 48636700 64416900 72955050 75153050 90183660 112729575 145910100 150306100 225459150 450918300 14919168763 29838337526 44757506289 59676675052 74595843815 89515012578 104434181341 149191687630 179030025156 208868362682 223787531445 298383375260 313302544023 372979219075 417736725364 447575062890 522170906705 626605088046 745958438150 895150125780 1044341813410 1118937657225 1253210176092 1491916876300 1566512720115 2088683626820 2237875314450 2610854533525 3133025440230 4475750628900 5221709067050 6266050880460 7832563600575 10443418134100 15665127201150 31330254402300