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132130022114000 = 24531722717119723
BaseRepresentation
bin11110000010101111101011…
…000010000100001011010000
3122022211111200102101220001202
4132002233223002010023100
5114304304241130122000
61145003405540050332
736555036060016301
oct3602575302041320
9568744612356052
10132130022114000
1139112033951779
121299b8250939a8
135895a66464791
14248b1ad0327a8
151042012306dd5
hex782beb0842d0

132130022114000 has 160 divisors (see below), whose sum is σ = 339774203523456. Its totient is φ = 49523931801600.

The previous prime is 132130022113997. The next prime is 132130022114011. The reversal of 132130022114000 is 411220031231.

It is a super-2 number, since 2×1321300221140002 (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 31 ways as a sum of consecutive naturals, for example, 841862 + ... + 16277861.

Almost surely, 2132130022114000 is an apocalyptic number.

132130022114000 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 132130022114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169887101761728).

132130022114000 is an abundant number, since it is smaller than the sum of its proper divisors (207644181409456).

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

132130022114000 is a wasteful number, since it uses less digits than its factorization.

132130022114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17119990 (or 17119974 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132130022114000 its reverse (411220031231), we get a palindrome (132541242145231).

The spelling of 132130022114000 in words is "one hundred thirty-two trillion, one hundred thirty billion, twenty-two million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 227 250 272 340 400 425 454 500 680 850 908 1000 1135 1360 1700 1816 2000 2125 2270 3400 3632 3859 4250 4540 5675 6800 7718 8500 9080 11350 15436 17000 18160 19295 22700 28375 30872 34000 38590 45400 56750 61744 77180 90800 96475 113500 154360 192950 227000 308720 385900 454000 482375 771800 964750 1543600 1929500 3859000 7718000 17119723 34239446 68478892 85598615 136957784 171197230 273915568 291035291 342394460 427993075 582070582 684788920 855986150 1164141164 1369577840 1455176455 1711972300 2139965375 2328282328 2910352910 3423944600 3886177121 4279930750 4656564656 5820705820 6847889200 7275882275 7772354242 8559861500 11641411640 14551764550 15544708484 17119723000 19430885605 23282823280 29103529100 31089416968 34239446000 36379411375 38861771210 58207058200 62178833936 66065011057 72758822750 77723542420 97154428025 116414116400 132130022114 145517645500 155447084840 194308856050 264260044228 291035291000 310894169680 330325055285 388617712100 485772140125 528520088456 582070582000 660650110570 777235424200 971544280250 1057040176912 1321300221140 1554470848400 1651625276425 1943088560500 2642600442280 3303250552850 3886177121000 5285200884560 6606501105700 7772354242000 8258126382125 13213002211400 16516252764250 26426004422800 33032505528500 66065011057000 132130022114000