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131222320400020 = 225317923173115613
BaseRepresentation
bin11101110101100010010011…
…110010110100011010010100
3122012121201202010111012102111
4131311202103302310122110
5114144421303010300040
61143030411330120404
736432333266526163
oct3565422362643224
9565551663435374
10131222320400020
11388a20899a8203
1212873921720104
13582b29a1b3185
1424592a0c2b3da
1510285d8aa0dea
hex775893cb4694

131222320400020 has 96 divisors (see below), whose sum is σ = 288071759646720. Its totient is φ = 50150154862080.

The previous prime is 131222320399999. The next prime is 131222320400077. The reversal of 131222320400020 is 20004023222131.

It is a junction number, because it is equal to n+sod(n) for n = 131222320399964 and 131222320400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134955734 + ... + 1135071346.

It is an arithmetic number, because the mean of its divisors is an integer number (3000747496320).

Almost surely, 2131222320400020 is an apocalyptic number.

131222320400020 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 131222320400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144035879823360).

131222320400020 is an abundant number, since it is smaller than the sum of its proper divisors (156849439246700).

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

131222320400020 is a wasteful number, since it uses less digits than its factorization.

131222320400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138905 (or 138903 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 131222320400020 its reverse (20004023222131), we get a palindrome (151226343622151).

The spelling of 131222320400020 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, three hundred twenty million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 79 124 155 158 310 316 395 620 790 1580 2449 4898 9796 12245 23173 24490 46346 48980 92692 115613 115865 231226 231730 462452 463460 578065 718363 1156130 1436726 1830667 2312260 2873452 3584003 3591815 3661334 7168006 7183630 7322668 9133427 9153335 14336012 14367260 17920015 18266854 18306670 35840030 36533708 36613340 45667135 56750677 71680060 91334270 113501354 182668540 227002708 283136237 283753385 566272474 567506770 1132544948 1135013540 1415681185 2679100049 2831362370 5358200098 5662724740 10716400196 13395500245 26791000490 53582000980 83052101519 166104203038 211648903871 332208406076 415260507595 423297807742 830521015190 846595615484 1058244519355 1661042030380 2116489038710 4232978077420 6561116020001 13122232040002 26244464080004 32805580100005 65611160200010 131222320400020