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132203002023120 = 24357239329256331
BaseRepresentation
bin11110000011110011101000…
…111110010100110011010000
3122100002111001111222101202210
4132003303220332110303100
5114312003222004214440
61145101115400512120
736563231430013530
oct3603635076246320
9570074044871683
10132203002023120
113913aa84131656
12129b19b1a7b640
13589c8c707aa62
1424909337014c0
151043d8433da80
hex783ce8f94cd0

132203002023120 has 160 divisors (see below), whose sum is σ = 470336085135360. Its totient is φ = 30091394511360.

The previous prime is 132203002023073. The next prime is 132203002023167. The reversal of 132203002023120 is 21320200302231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132203002023073) and next prime (132203002023167).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 164226646 + ... + 165029685.

It is an arithmetic number, because the mean of its divisors is an integer number (2939600532096).

Almost surely, 2132203002023120 is an apocalyptic number.

132203002023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132203002023120 is an abundant number, since it is smaller than the sum of its proper divisors (338133083112240).

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

132203002023120 is a wasteful number, since it uses less digits than its factorization.

132203002023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329256593 (or 329256587 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132203002023120 its reverse (21320200302231), we get a palindrome (153523202325351).

The spelling of 132203002023120 in words is "one hundred thirty-two trillion, two hundred three billion, two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 239 240 280 336 420 478 560 717 840 956 1195 1434 1673 1680 1912 2390 2868 3346 3585 3824 4780 5019 5736 6692 7170 8365 9560 10038 11472 13384 14340 16730 19120 20076 25095 26768 28680 33460 40152 50190 57360 66920 80304 100380 133840 200760 401520 329256331 658512662 987768993 1317025324 1646281655 1975537986 2304794317 2634050648 3292563310 3951075972 4609588634 4938844965 5268101296 6585126620 6914382951 7902151944 9219177268 9877689930 11523971585 13170253240 13828765902 15804303888 18438354536 19755379860 23047943170 26340506480 27657531804 34571914755 36876709072 39510759720 46095886340 55315063608 69143829510 78692263109 79021519440 92191772680 110630127216 138287659020 157384526218 184383545360 236076789327 276575318040 314769052436 393461315545 472153578654 550845841763 553150636080 629538104872 786922631090 944307157308 1101691683526 1180383946635 1259076209744 1573845262180 1652537525289 1888614314616 2203383367052 2360767893270 2754229208815 3147690524360 3305075050578 3777228629232 4406766734104 4721535786540 5508458417630 6295381048720 6610150101156 8262687626445 8813533468208 9443071573080 11016916835260 13220300202312 16525375252890 18886143146160 22033833670520 26440600404624 33050750505780 44067667341040 66101501011560 132203002023120