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131122345431220 = 2251113267717126251
BaseRepresentation
bin11101110100000101001100…
…110100100101000010110100
3122012021011200200221120112021
4131310011030310211002310
5114141302030412244340
61142512435055402524
736422163645363013
oct3564051464450264
9565234620846467
10131122345431220
1138863746709450
1212858480223444
135821a26928bc0
1424544d9244a7a
151025bd6b5ce4a
hex77414cd250b4

131122345431220 has 96 divisors (see below), whose sum is σ = 323617109751936. Its totient is φ = 43996651200000.

The previous prime is 131122345431211. The next prime is 131122345431223. The reversal of 131122345431220 is 22134543221131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122345431223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906906 + ... + 16219345.

It is an arithmetic number, because the mean of its divisors is an integer number (3371011559916).

Almost surely, 2131122345431220 is an apocalyptic number.

131122345431220 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 131122345431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161808554875968).

131122345431220 is an abundant number, since it is smaller than the sum of its proper divisors (192494764320716).

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

131122345431220 is a wasteful number, since it uses less digits than its factorization.

131122345431220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128961 (or 17128959 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 131122345431220 its reverse (22134543221131), we get a palindrome (153256888652351).

The spelling of 131122345431220 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, three hundred forty-five million, four hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2677 2860 5354 10708 13385 26770 29447 34801 53540 58894 69602 117788 139204 147235 174005 294470 348010 382811 588940 696020 765622 1531244 1914055 3828110 7656220 17126251 34252502 68505004 85631255 171262510 188388761 222641263 342525020 376777522 445282526 753555044 890565052 941943805 1113206315 1883887610 2226412630 2449053893 3767775220 4452825260 4898107786 9796215572 12245269465 24490538930 45846973927 48981077860 91693947854 183387895708 229234869635 458469739270 504316713197 596010661051 916939478540 1008633426394 1192021322102 2017266852788 2384042644204 2521583565985 2980053305255 5043167131970 5960106610510 6556117271561 10086334263940 11920213221020 13112234543122 26224469086244 32780586357805 65561172715610 131122345431220