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131144022 = 2342361577
BaseRepresentation
bin1111101000100…
…01100101010110
3100010202210210000
413310101211112
5232033102042
621002512130
73151464042
oct764214526
9303683700
10131144022
1168033499
1237b05646
1321229419
14135bb022
15b7a774c
hex7d11956

131144022 has 80 divisors (see below), whose sum is σ = 312203232. Its totient is φ = 41057280.

The previous prime is 131144017. The next prime is 131144047. The reversal of 131144022 is 220441131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131143986 and 131144004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 226998 + ... + 227574.

Almost surely, 2131144022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131144022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156101616).

131144022 is an abundant number, since it is smaller than the sum of its proper divisors (181059210).

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

131144022 is a wasteful number, since it uses less digits than its factorization.

131144022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131144022 is about 11451.8130442302. The cubic root of 131144022 is about 508.0613597943.

Adding to 131144022 its reverse (220441131), we get a palindrome (351585153).

The spelling of 131144022 in words is "one hundred thirty-one million, one hundred forty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 61 69 81 122 138 162 183 207 366 414 549 577 621 1098 1154 1242 1403 1647 1731 1863 2806 3294 3462 3726 4209 4941 5193 8418 9882 10386 12627 13271 15579 25254 26542 31158 35197 37881 39813 46737 70394 75762 79626 93474 105591 113643 119439 211182 227286 238878 316773 358317 633546 716634 809531 950319 1074951 1619062 1900638 2149902 2428593 2850957 4857186 5701914 7285779 14571558 21857337 43714674 65572011 131144022