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134031201230020 = 225234612105930013
BaseRepresentation
bin11110011110011010010010…
…001000110101110011000100
3122120120020221212022200212211
4132132122102020311303010
5120031431400003330040
61153021030034353204
740142302053614023
oct3636322210656304
9576506855280784
10134031201230020
11397853499a9806
121304818a12b804
1359a311b57acb3
1425152052b68ba
1510766d485c8ea
hex79e692235cc4

134031201230020 has 96 divisors (see below), whose sum is σ = 294364038608640. Its totient is φ = 51166128668160.

The previous prime is 134031201229979. The next prime is 134031201230029. The reversal of 134031201230020 is 20032102130431.

It is a super-2 number, since 2×1340312012300202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134031201229973 and 134031201230000.

It is not an unprimeable number, because it can be changed into a prime (134031201230029) by changing a digit.

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, 4465756534 + ... + 4465786546.

It is an arithmetic number, because the mean of its divisors is an integer number (3066292068840).

Almost surely, 2134031201230020 is an apocalyptic number.

134031201230020 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 134031201230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147182019304320).

134031201230020 is an abundant number, since it is smaller than the sum of its proper divisors (160332837378620).

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

134031201230020 is a wasteful number, since it uses less digits than its factorization.

134031201230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51565 (or 51563 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 134031201230020 its reverse (20032102130431), we get a palindrome (154063303360451).

The spelling of 134031201230020 in words is "one hundred thirty-four trillion, thirty-one billion, two hundred one million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 461 922 1844 2305 4610 9220 10603 21059 21206 30013 42118 42412 53015 60026 84236 105295 106030 120052 150065 210590 212060 300130 421180 484357 600260 690299 968714 1380598 1937428 2421785 2761196 3451495 4843570 6902990 9687140 9708199 13805980 13835993 19416398 27671986 38832796 48540995 55343972 69179965 97081990 138359930 194163980 223288577 276719860 318227839 446577154 632043767 636455678 893154308 1116442885 1264087534 1272911356 1591139195 2232885770 2528175068 3160218835 3182278390 4465771540 6320437670 6364556780 12640875340 14537006641 29074013282 58148026564 72685033205 145370066410 290740132820 291372176587 582744353174 1165488706348 1456860882935 2913721765870 5827443531740 6701560061501 13403120123002 26806240246004 33507800307505 67015600615010 134031201230020