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132200114303140 = 22513279669490937
BaseRepresentation
bin11110000011110000111100…
…110110100011000010100100
3122100002012121021020000122221
4132003300330312203002210
5114311431313230200030
61145055521043002124
736563100033550042
oct3603607466430244
9570065537200587
10132200114303140
113913983208a914
12129b1326969344
13589c556a19600
14249073bda5392
151043c65a77e7a
hex783c3cda30a4

132200114303140 has 72 divisors (see below), whose sum is σ = 300622752115560. Its totient is φ = 48811637781504.

The previous prime is 132200114303129. The next prime is 132200114303149. The reversal of 132200114303140 is 41303411002231.

It can be written as a sum of positive squares in 12 ways, for example, as 44174287347876 + 88025826955264 = 6646374^2 + 9382208^2 .

It is not an unprimeable number, because it can be changed into a prime (132200114303149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269035752 + ... + 269526688.

It is an arithmetic number, because the mean of its divisors is an integer number (4175316001605).

Almost surely, 2132200114303140 is an apocalyptic number.

132200114303140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132200114303140 is an abundant number, since it is smaller than the sum of its proper divisors (168422637812420).

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

132200114303140 is a wasteful number, since it uses less digits than its factorization.

132200114303140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570641 (or 570626 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 132200114303140 its reverse (41303411002231), we get a palindrome (173503525305371).

The spelling of 132200114303140 in words is "one hundred thirty-two trillion, two hundred billion, one hundred fourteen million, three hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 79669 159338 318676 398345 490937 796690 981874 1035697 1593380 1963748 2071394 2454685 4142788 4909370 5178485 6382181 9818740 10356970 12764362 13464061 20713940 25528724 26928122 31910905 53856244 63821810 67320305 82968353 127643620 134640610 165936706 269281220 331873412 414841765 829683530 1659367060 39112459853 78224919706 156449839412 195562299265 391124598530 508461978089 782249197060 1016923956178 2033847912356 2542309890445 5084619780890 6610005715157 10169239561780 13220011430314 26440022860628 33050028575785 66100057151570 132200114303140