Search a number
-
+
12941531700 = 22352163383691
BaseRepresentation
bin11000000110110000…
…00001101000110100
31020101220202221000220
430003120001220310
5203001013003300
65540101534340
7635463130056
oct140330015064
936356687026
1012941531700
115541180349
1226121143b0
1312b323cc86
148aaaa98d6
1550b252da0
hex303601a34

12941531700 has 144 divisors (see below), whose sum is σ = 37826912256. Its totient is φ = 3415996800.

The previous prime is 12941531651. The next prime is 12941531737. The reversal of 12941531700 is 713514921.

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, 18728355 + ... + 18729045.

Almost surely, 212941531700 is an apocalyptic number.

12941531700 is a gapful number since it is divisible by the number (10) 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 12941531700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18913456128).

12941531700 is an abundant number, since it is smaller than the sum of its proper divisors (24885380556).

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

12941531700 is a wasteful number, since it uses less digits than its factorization.

12941531700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 12941531700 in words is "twelve billion, nine hundred forty-one million, five hundred thirty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 383 489 652 691 766 815 978 1149 1382 1532 1630 1915 1956 2073 2298 2445 2764 3260 3455 3830 4075 4146 4596 4890 5745 6910 7660 8150 8292 9575 9780 10365 11490 12225 13820 16300 17275 19150 20730 22980 24450 28725 34550 38300 41460 48900 51825 57450 62429 69100 103650 112633 114900 124858 187287 207300 225266 249716 264653 312145 337899 374574 450532 529306 563165 624290 675798 749148 793959 936435 1058612 1126330 1248580 1323265 1351596 1560725 1587918 1689495 1872870 2252660 2646530 2815825 3121450 3175836 3378990 3745740 3969795 4682175 5293060 5631650 6242900 6616325 6757980 7939590 8447475 9364350 11263300 13232650 15879180 16894950 18728700 19848975 26465300 33789900 39697950 43138439 79395900 86276878 129415317 172553756 215692195 258830634 431384390 517661268 647076585 862768780 1078460975 1294153170 2156921950 2588306340 3235382925 4313843900 6470765850 12941531700