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131141421330 = 235193112316029
BaseRepresentation
bin111101000100010100…
…0110100100100010010
3110112111110201110022220
41322020220310210102
54122034200440310
6140125011441510
712321543455223
oct1721050644422
9415443643286
10131141421330
1150686a05947
12214babb6296
13c49c4c8c7a
1464c0d0b24a
15362817c670
hex1e88a34912

131141421330 has 128 divisors (see below), whose sum is σ = 342326476800. Its totient is φ = 32030380800.

The previous prime is 131141421319. The next prime is 131141421331. The reversal of 131141421330 is 33124141131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131141421330.

It is not an unprimeable number, because it can be changed into a prime (131141421331) 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, 21748756 + ... + 21754784.

It is an arithmetic number, because the mean of its divisors is an integer number (2674425600).

Almost surely, 2131141421330 is an apocalyptic number.

131141421330 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 131141421330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171163238400).

131141421330 is an abundant number, since it is smaller than the sum of its proper divisors (211185055470).

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

131141421330 is a wasteful number, since it uses less digits than its factorization.

131141421330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131141421330 its reverse (33124141131), we get a palindrome (164265562461).

The spelling of 131141421330 in words is "one hundred thirty-one billion, one hundred forty-one million, four hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 465 570 589 930 1178 1231 1767 2462 2945 3534 3693 5890 6029 6155 7386 8835 12058 12310 17670 18087 18465 23389 30145 36174 36930 38161 46778 60290 70167 76322 90435 114483 114551 116945 140334 180870 186899 190805 228966 229102 233890 343653 350835 373798 381610 560697 572415 572755 687306 701670 725059 934495 1121394 1144830 1145510 1450118 1718265 1868990 2175177 2803485 3436530 3551081 3625295 4350354 5606970 7102162 7250590 7421699 10653243 10875885 14843398 17755405 21306486 21751770 22265097 35510810 37108495 44530194 53266215 74216990 106532430 111325485 141012281 222650970 230072669 282024562 423036843 460145338 690218007 705061405 846073686 1150363345 1380436014 1410122810 2115184215 2300726690 3451090035 4230368430 4371380711 6902180070 8742761422 13114142133 21856903555 26228284266 43713807110 65570710665 131141421330