Search a number
-
+
31300233320300 = 22527374057297881
BaseRepresentation
bin1110001110111101001110…
…10010011101011101101100
311002211021101002002002222212
413013132213102131131230
513100310334212222200
6150323043443425552
76410236650302660
oct707364722353554
9132737332062885
1031300233320300
119a7839979423a
1236162409852b8
1314607a3989029
147a2d2190c8a0
153942ce43b035
hex1c77a749d76c

31300233320300 has 144 divisors (see below), whose sum is σ = 79742458531008. Its totient is φ = 10438859059200.

The previous prime is 31300233320249. The next prime is 31300233320341. The reversal of 31300233320300 is 302333200313.

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, 104927360 + ... + 105225240.

It is an arithmetic number, because the mean of its divisors is an integer number (553767073132).

Almost surely, 231300233320300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300233320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39871229265504).

31300233320300 is an abundant number, since it is smaller than the sum of its proper divisors (48442225210708).

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

31300233320300 is a wasteful number, since it uses less digits than its factorization.

31300233320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301996 (or 301989 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 31300233320300 its reverse (302333200313), we get a palindrome (31602566520613).

The spelling of 31300233320300 in words is "thirty-one trillion, three hundred billion, two hundred thirty-three million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 700 740 925 1036 1295 1850 2590 3700 4057 5180 6475 8114 12950 16228 20285 25900 28399 40570 56798 81140 101425 113596 141995 150109 202850 283990 297881 300218 405700 567980 595762 600436 709975 750545 1050763 1191524 1419950 1489405 1501090 2085167 2101526 2839900 2978810 3002180 3752725 4170334 4203052 5253815 5957620 7447025 7505450 8340668 10425835 10507630 11021597 14894050 15010900 20851670 21015260 22043194 26269075 29788100 41703340 44086388 52129175 52538150 55107985 77151179 104258350 105076300 110215970 154302358 208516700 220431940 275539925 308604716 385755895 551079850 771511790 1102159700 1208503217 1543023580 1928779475 2417006434 3857558950 4834012868 6042516085 7715117900 8459522519 12085032170 16919045038 24170064340 30212580425 33838090076 42297612595 44714619029 60425160850 84595225190 89429238058 120850321700 169190450380 178858476116 211488062975 223573095145 313002333203 422976125950 447146190290 626004666406 845952251900 894292380580 1117865475725 1252009332812 1565011666015 2235730951450 3130023332030 4471461902900 6260046664060 7825058330075 15650116660150 31300233320300