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132003131312000 = 275313634630439
BaseRepresentation
bin11110000000111001011111…
…110000000100011110000000
3122022101101011011222021021102
4132000321133300010132000
5114300214403103441000
61144425222405513532
736542624436006164
oct3600713760043600
9568341134867242
10132003131312000
1139073239347073
121297b1117128a8
135886ac37887a0
142484db2876ca4
15103da874073d5
hex780e5fc04780

132003131312000 has 128 divisors (see below), whose sum is σ = 353438384644800. Its totient is φ = 48739617638400.

The previous prime is 132003131311969. The next prime is 132003131312011. The reversal of 132003131312000 is 213131300231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1320031313120002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317107220 + ... + 317523219.

Almost surely, 2132003131312000 is an apocalyptic number.

132003131312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132003131312000 is an abundant number, since it is smaller than the sum of its proper divisors (221435253332800).

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

132003131312000 is an equidigital number, since it uses as much as digits as its factorization.

132003131312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634630481 (or 634630459 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 132003131312000 its reverse (213131300231), we get a palindrome (132216262612231).

The spelling of 132003131312000 in words is "one hundred thirty-two trillion, three billion, one hundred thirty-one million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 640 650 800 832 1000 1040 1300 1600 1625 1664 2000 2080 2600 3200 3250 4000 4160 5200 6500 8000 8320 10400 13000 16000 20800 26000 41600 52000 104000 208000 634630439 1269260878 2538521756 3173152195 5077043512 6346304390 8250195707 10154087024 12692608780 15865760975 16500391414 20308174048 25385217560 31731521950 33000782828 40616348096 41250978535 50770435120 63463043900 66001565656 79328804875 81232696192 82501957070 101540870240 126926087800 132003131312 158657609750 165003914140 203081740480 206254892675 253852175600 264006262624 317315219500 330007828280 406163480960 412509785350 507704351200 528012525248 634630439000 660015656560 825019570700 1015408702400 1031274463375 1056025050496 1269260878000 1320031313120 1650039141400 2030817404800 2062548926750 2538521756000 2640062626240 3300078282800 4125097853500 5077043512000 5280125252480 6600156565600 8250195707000 10154087024000 13200313131200 16500391414000 26400626262400 33000782828000 66001565656000 132003131312000