Search a number
-
+
132300213120240 = 24351177969642739
BaseRepresentation
bin11110000101001110001011…
…001101001110110011110000
3122100102202222022210210111020
4132011032023031032303300
5114320101314024321430
61145213513500015440
736603242420503044
oct3605161315166360
9570382868723436
10132300213120240
1139178229279740
1212a08801831580
1358a8b19b472b9
1424955161ca024
1510466737d1b10
hex78538b34ecf0

132300213120240 has 160 divisors (see below), whose sum is σ = 447421700678400. Its totient is φ = 32072317685760.

The previous prime is 132300213120157. The next prime is 132300213120247. The reversal of 132300213120240 is 42021312003231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132300213120240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300213120247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205516791 + ... + 206159529.

It is an arithmetic number, because the mean of its divisors is an integer number (2796385629240).

Almost surely, 2132300213120240 is an apocalyptic number.

132300213120240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132300213120240 is an abundant number, since it is smaller than the sum of its proper divisors (315121487558160).

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

132300213120240 is a wasteful number, since it uses less digits than its factorization.

132300213120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720735 (or 720729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132300213120240 its reverse (42021312003231), we get a palindrome (174321525123471).

The spelling of 132300213120240 in words is "one hundred thirty-two trillion, three hundred billion, two hundred thirteen million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 77969 155938 233907 311876 389845 467814 623752 642739 779690 857659 935628 1169535 1247504 1285478 1559380 1715318 1871256 1928217 2339070 2570956 2572977 3118760 3213695 3430636 3742512 3856434 4288295 4678140 5141912 5145954 6237520 6427390 6861272 7070129 7712868 8576590 9356280 9641085 10283824 10291908 12854780 12864885 13722544 14140258 15425736 17153180 18712560 19282170 20583816 21210387 25709560 25729770 28280516 30851472 34306360 35350645 38564340 41167632 42420774 51419120 51459540 56561032 68612720 70701290 77128680 84841548 102919080 106051935 113122064 141402580 154257360 169683096 205838160 212103870 282805160 339366192 424207740 565610320 848415480 1696830960 50113717091 100227434182 150341151273 200454868364 250568585455 300682302546 400909736728 501137170910 551250888001 601364605092 751705756365 801819473456 1002274341820 1102501776002 1202729210184 1503411512730 1653752664003 2004548683640 2205003552004 2405458420368 2756254440005 3006823025460 3307505328006 4009097367280 4410007104008 5512508880010 6013646050920 6615010656012 8268763320015 8820014208016 11025017760020 12027292101840 13230021312024 16537526640030 22050035520040 26460042624048 33075053280060 44100071040080 66150106560120 132300213120240