Search a number
-
+
1131626462220 = 2232541443346133
BaseRepresentation
bin10000011101111010001…
…100010111110000001100
311000011220222211111211100
4100131322030113300030
5122020032333242340
62223510110223100
7144520521135522
oct20357214276014
94004828744740
101131626462220
113a6a13700181
121633974b4a90
138293410ca47
143cab1934312
151e6822a4830
hex1077a317c0c

1131626462220 has 144 divisors (see below), whose sum is σ = 3524269930272. Its totient is φ = 293741460480.

The previous prime is 1131626462171. The next prime is 1131626462233. The reversal of 1131626462220 is 222646261311.

1131626462220 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 6 + 2 + 6 + 4 + 622 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3096274 + ... + 3442406.

It is an arithmetic number, because the mean of its divisors is an integer number (24474096738).

Almost surely, 21131626462220 is an apocalyptic number.

1131626462220 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 1131626462220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762134965136).

1131626462220 is an abundant number, since it is smaller than the sum of its proper divisors (2392643468052).

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

1131626462220 is a wasteful number, since it uses less digits than its factorization.

1131626462220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346632 (or 346627 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1131626462220 in words is "one trillion, one hundred thirty-one billion, six hundred twenty-six million, four hundred sixty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 443 492 615 738 820 886 1230 1329 1476 1772 1845 2215 2460 2658 3690 3987 4430 5316 6645 7380 7974 8860 13290 15948 18163 19935 26580 36326 39870 54489 72652 79740 90815 108978 163467 181630 217956 272445 326934 346133 363260 544890 653868 692266 817335 1038399 1089780 1384532 1634670 1730665 2076798 3115197 3269340 3461330 4153596 5191995 6230394 6922660 10383990 12460788 14191453 15575985 20767980 28382906 31151970 42574359 56765812 62303940 70957265 85148718 127723077 141914530 153336919 170297436 212871795 255446154 283829060 306673838 425743590 460010757 510892308 613347676 638615385 766684595 851487180 920021514 1277230770 1380032271 1533369190 1840043028 2300053785 2554461540 2760064542 3066738380 4600107570 5520129084 6286813679 6900161355 9200215140 12573627358 13800322710 18860441037 25147254716 27600645420 31434068395 37720882074 56581323111 62868136790 75441764148 94302205185 113162646222 125736273580 188604410370 226325292444 282906615555 377208820740 565813231110 1131626462220