Search a number
-
+
131101223451030 = 232572171748715799
BaseRepresentation
bin11101110011110001100001…
…110110100111100110010110
3122012012011011200012210210200
4131303301201312213212112
5114140430301200413110
61142455023130201330
736420515350455600
oct3563614166474626
9565164150183720
10131101223451030
1138855797922078
1212854366583246
13581ca3b975a81
142453493d3c170
15102539c6686c0
hex773c61da7996

131101223451030 has 144 divisors (see below), whose sum is σ = 419838684127200. Its totient is φ = 28203288390144.

The previous prime is 131101223451001. The next prime is 131101223451041. The reversal of 131101223451030 is 30154322101131.

131101223451030 is a `hidden beast` number, since 1 + 3 + 110 + 1 + 2 + 2 + 3 + 4 + 510 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131101223450985 and 131101223451003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 874282930 + ... + 874432869.

It is an arithmetic number, because the mean of its divisors is an integer number (2915546417550).

Almost surely, 2131101223451030 is an apocalyptic number.

131101223451030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131101223451030 is an abundant number, since it is smaller than the sum of its proper divisors (288737460676170).

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

131101223451030 is a wasteful number, since it uses less digits than its factorization.

131101223451030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748715843 (or 1748715833 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 131101223451030 its reverse (30154322101131), we get a palindrome (161255545552161).

The spelling of 131101223451030 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred twenty-three million, four hundred fifty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 49 51 63 70 85 90 98 102 105 119 126 147 153 170 210 238 245 255 294 306 315 357 441 490 510 595 630 714 735 765 833 882 1071 1190 1470 1530 1666 1785 2142 2205 2499 3570 4165 4410 4998 5355 7497 8330 10710 12495 14994 24990 37485 74970 1748715799 3497431598 5246147397 8743578995 10492294794 12241010593 15738442191 17487157990 24482021186 26230736985 29728168583 31476884382 36723031779 52461473970 59456337166 61205052965 73446063558 78692210955 85687074151 89184505749 110169095337 122410105930 148640842915 157384421910 171374148302 178369011498 183615158895 208097180081 220338190674 257061222453 267553517247 297281685830 367230317790 416194360162 428435370755 445922528745 514122444906 535107034494 550845476685 624291540243 771183667359 856870741510 891845057490 1040485900405 1101690953370 1248583080486 1285306112265 1337767586235 1456680260567 1542367334718 1872874620729 2080971800810 2570612224530 2675535172470 2913360521134 3121457701215 3745749241458 3855918336795 4370040781701 6242915402430 7283401302835 7711836673590 8740081563402 9364373103645 13110122345103 14566802605670 18728746207290 21850203908505 26220244690206 43700407817010 65550611725515 131101223451030