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131222010020 = 225194743117047
BaseRepresentation
bin111101000110101110…
…0001111100010100100
3110112201002100210020012
41322031130033202210
54122220313310040
6140141011025352
712323542452533
oct1721534174244
9415632323205
10131222010020
1150718449372
1221521b9b258
13c4b310429a
1464cb8c831a
15363029a865
hex1e8d70f8a4

131222010020 has 96 divisors (see below), whose sum is σ = 296946155520. Its totient is φ = 48552462720.

The previous prime is 131222010011. The next prime is 131222010037. The reversal of 131222010020 is 20010222131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131222009977 and 131222010004.

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 31 ways as a sum of consecutive naturals, for example, 7689137 + ... + 7706183.

It is an arithmetic number, because the mean of its divisors is an integer number (3093189120).

Almost surely, 2131222010020 is an apocalyptic number.

131222010020 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 131222010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148473077760).

131222010020 is an abundant number, since it is smaller than the sum of its proper divisors (165724145500).

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

131222010020 is a wasteful number, since it uses less digits than its factorization.

131222010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17553 (or 17551 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 131222010020 its reverse (20010222131), we get a palindrome (151232232151).

The spelling of 131222010020 in words is "one hundred thirty-one billion, two hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 431 470 862 893 940 1724 1786 2155 3572 4310 4465 8189 8620 8930 16378 17047 17860 20257 32756 34094 40514 40945 68188 81028 81890 85235 101285 163780 170470 202570 323893 340940 384883 405140 647786 769766 801209 1295572 1539532 1602418 1619465 1924415 3204836 3238930 3848830 4006045 6477860 7347257 7697660 8012090 14694514 15222971 16024180 29389028 30445942 36736285 60891884 73472570 76114855 139597883 146945140 152229710 279195766 304459420 345321079 558391532 690642158 697989415 1381284316 1395978830 1726605395 2791957660 3453210790 6561100501 6906421580 13122201002 26244402004 32805502505 65611005010 131222010020