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132212332103000 = 23531371523633653
BaseRepresentation
bin11110000011111100010101…
…000101110000010101011000
3122100010101010202011120020212
4132003330111011300111120
5114312131324004244000
61145105301252510252
736564011561254562
oct3603742505602530
9570111122146225
10132212332103000
1139143a31781776
12129b377661b388
1358a075302b296
14249117a8ba332
15104422d4bbc35
hex783f15170558

132212332103000 has 128 divisors (see below), whose sum is σ = 311840193712320. Its totient is φ = 52464357913600.

The previous prime is 132212332102979. The next prime is 132212332103011. The reversal of 132212332103000 is 301233212231.

It is a super-2 number, since 2×1322123321030002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208334174 + ... + 208967826.

Almost surely, 2132212332103000 is an apocalyptic number.

132212332103000 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 132212332103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155920096856160).

132212332103000 is an abundant number, since it is smaller than the sum of its proper divisors (179627861609320).

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

132212332103000 is a wasteful number, since it uses less digits than its factorization.

132212332103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635334 (or 635320 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132212332103000 its reverse (301233212231), we get a palindrome (132513565315231).

The spelling of 132212332103000 in words is "one hundred thirty-two trillion, two hundred twelve billion, three hundred thirty-two million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 274 500 548 685 1000 1096 1370 1523 2740 3046 3425 5480 6092 6850 7615 12184 13700 15230 17125 27400 30460 34250 38075 60920 68500 76150 137000 152300 190375 208651 304600 380750 417302 633653 761500 834604 1043255 1267306 1523000 1669208 2086510 2534612 3168265 4173020 5069224 5216275 6336530 8346040 10432550 12673060 15841325 20865100 25346120 26081375 31682650 41730200 52162750 63365300 79206625 86810461 104325500 126730600 158413250 173620922 208651000 316826500 347241844 434052305 633653000 694483688 868104610 965053519 1736209220 1930107038 2170261525 3472418440 3860214076 4340523050 4825267595 7720428152 8681046100 9650535190 10851307625 17362092200 19301070380 21702615250 24126337975 38602140760 43405230500 48252675950 86810461000 96505351900 120631689875 132212332103 193010703800 241263379750 264424664206 482526759500 528849328412 661061660515 965053519000 1057698656824 1322123321030 2644246642060 3305308302575 5288493284120 6610616605150 13221233210300 16526541512875 26442466420600 33053083025750 66106166051500 132212332103000