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131224103111130 = 235173123333557681
BaseRepresentation
bin11101110101100011111110…
…000011010100100111011010
3122012121220100100222022022220
4131311203332003110213122
5114144433430344024010
61143031304251524510
736432425414365521
oct3565437603244732
9565556310868286
10131224103111130
11388a2914223477
121287413a759736
13582b4c262bb13
1424593cd8c34b8
151028690341970
hex7758fe0d49da

131224103111130 has 128 divisors (see below), whose sum is σ = 344368134567936. Its totient is φ = 31858597478400.

The previous prime is 131224103111071. The next prime is 131224103111137. The reversal of 131224103111130 is 31111301422131.

It is a self number, because there is not a number n which added to its sum of digits gives 131224103111130.

It is not an unprimeable number, because it can be changed into a prime (131224103111137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35105890 + ... + 38663570.

It is an arithmetic number, because the mean of its divisors is an integer number (2690376051312).

Almost surely, 2131224103111130 is an apocalyptic number.

131224103111130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131224103111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172184067283968).

131224103111130 is an abundant number, since it is smaller than the sum of its proper divisors (213144031456806).

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

131224103111130 is a wasteful number, since it uses less digits than its factorization.

131224103111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560072.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131224103111130 its reverse (31111301422131), we get a palindrome (162335404533261).

The spelling of 131224103111130 in words is "one hundred thirty-one trillion, two hundred twenty-four billion, one hundred three million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2333 2635 3162 4666 5270 6999 7905 11665 13998 15810 23330 34995 39661 69990 72323 79322 118983 144646 198305 216969 237966 361615 396610 433938 594915 723230 1084845 1189830 1229491 2169690 2458982 3557681 3688473 6147455 7115362 7376946 10673043 12294910 17788405 18442365 21346086 35576810 36884730 53365215 60480577 106730430 110288111 120961154 181441731 220576222 302402885 330864333 362883462 551440555 604805770 661728666 907208655 1102881110 1654321665 1814417310 1874897887 3308643330 3749795774 5624693661 8300069773 9374489435 11249387322 16600139546 18748978870 24900209319 28123468305 41500348865 49800418638 56246936610 83000697730 124501046595 141101186141 249002093190 257302162963 282202372282 423303558423 514604325926 705505930705 771906488889 846607116846 1286510814815 1411011861410 1543812977778 2116517792115 2573021629630 3859532444445 4233035584230 4374136770371 7719064888890 8748273540742 13122410311113 21870683851855 26244820622226 43741367703710 65612051555565 131224103111130