Search a number
-
+
131412312000222 = 231113715196248641
BaseRepresentation
bin11101111000010011010000…
…001011010000011011011110
3122020021220010222012111102220
4131320103100023100123132
5114211024403333001342
61143253552133330210
736452140411505061
oct3570232013203336
9566256128174386
10131412312000222
1138965715237510
12128a4705496966
135843187b63796
142464565a008d8
15102d5085585ec
hex7784d02d06de

131412312000222 has 64 divisors (see below), whose sum is σ = 290723258101248. Its totient is φ = 39269445120000.

The previous prime is 131412312000217. The next prime is 131412312000271. The reversal of 131412312000222 is 222000213214131.

It is a junction number, because it is equal to n+sod(n) for n = 131412312000192 and 131412312000201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46758979 + ... + 49489662.

It is an arithmetic number, because the mean of its divisors is an integer number (4542550907832).

Almost surely, 2131412312000222 is an apocalyptic number.

131412312000222 is an abundant number, since it is smaller than the sum of its proper divisors (159310946101026).

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

131412312000222 is a wasteful number, since it uses less digits than its factorization.

131412312000222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96248945.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131412312000222 its reverse (222000213214131), we get a palindrome (353412525214353).

The spelling of 131412312000222 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred twelve million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 137 151 274 302 411 453 822 906 1507 1661 3014 3322 4521 4983 9042 9966 20687 41374 62061 124122 227557 455114 682671 1365342 96248641 192497282 288745923 577491846 1058735051 2117470102 3176205153 6352410306 13186063817 14533544791 26372127634 29067089582 39558191451 43600634373 79116382902 87201268746 145046701987 159868992701 290093403974 319737985402 435140105961 479606978103 870280211922 959213956206 1991095636367 3982191272734 5973286909101 11946573818202 21902052000037 43804104000074 65706156000111 131412312000222