Search a number
-
+
313103320331100 = 2235213697791150531
BaseRepresentation
bin100011100110001000000110…
…0001011111011001101011100
31112001121101101201212202101020
41013030100030023323031130
5312014341100001043400
63025525402450044140
7122643653105540535
oct10714201413731534
91461541351782336
10313103320331100
1190845410816202
122b149630579650
1310592693750010
1457463d286b68c
15262e80899c2a0
hex11cc40c2fb35c

313103320331100 has 144 divisors (see below), whose sum is σ = 975612662209920. Its totient is φ = 77070415046400.

The previous prime is 313103320331059. The next prime is 313103320331177. The reversal of 313103320331100 is 1133023301313.

It is a super-2 number, since 2×3131033203311002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271562835 + ... + 272713365.

Almost surely, 2313103320331100 is an apocalyptic number.

313103320331100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313103320331100 is an abundant number, since it is smaller than the sum of its proper divisors (662509341878820).

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

313103320331100 is a wasteful number, since it uses less digits than its factorization.

313103320331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220340 (or 1220333 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 313103320331100 its reverse (1133023301313), we get a palindrome (314236343632413).

The spelling of 313103320331100 in words is "three hundred thirteen trillion, one hundred three billion, three hundred twenty million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 69779 139558 209337 279116 348895 418674 697790 837348 907127 1046685 1150531 1395580 1744475 1814254 2093370 2301062 2721381 3451593 3488950 3628508 4186740 4535635 4602124 5233425 5442762 5752655 6903186 6977900 9071270 10466850 10885524 11505310 13606905 13806372 14956903 17257965 18142540 20933700 22678175 23010620 27213810 28763275 29913806 34515930 44870709 45356350 54427620 57526550 59827612 68034525 69031860 74784515 86289825 89741418 90712700 115053100 136069050 149569030 172579650 179482836 224353545 272138100 299138060 345159300 373922575 448707090 747845150 897414180 1121767725 1495690300 2243535450 4487070900 80282902649 160565805298 240848707947 321131610596 401414513245 481697415894 802829026490 963394831788 1043677734437 1204243539735 1605658052980 2007072566225 2087355468874 2408487079470 3131033203311 4014145132450 4174710937748 4816974158940 5218388672185 6021217698675 6262066406622 8028290264900 10436777344370 12042435397350 12524132813244 15655166016555 20873554688740 24084870794700 26091943360925 31310332033110 52183886721850 62620664066220 78275830082775 104367773443700 156551660165550 313103320331100