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13142122403100 = 22352105141681327
BaseRepresentation
bin1011111100111110001110…
…0010011001010100011100
31201112101010002212122201220
42333033203202121110130
53210310031313344400
643541224020533340
72524326021163005
oct277174342312434
951471102778656
1013142122403100
1142075a7533789
121583046251250
137443b2180422
143361214921ac
1517bccb8987a0
hexbf3e389951c

13142122403100 has 72 divisors (see below), whose sum is σ = 38060721124608. Its totient is φ = 3501231384000.

The previous prime is 13142122403063. The next prime is 13142122403101. The reversal of 13142122403100 is 130422124131.

It is a super-2 number, since 2×131421224031002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142122403101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20525364 + ... + 21155963.

Almost surely, 213142122403100 is an apocalyptic number.

13142122403100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142122403100 is an abundant number, since it is smaller than the sum of its proper divisors (24918598721508).

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

13142122403100 is a wasteful number, since it uses less digits than its factorization.

13142122403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41682395 (or 41682388 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13142122403100 its reverse (130422124131), we get a palindrome (13272544527231).

The spelling of 13142122403100 in words is "thirteen trillion, one hundred forty-two billion, one hundred twenty-two million, four hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1051 2102 3153 4204 5255 6306 10510 12612 15765 21020 26275 31530 52550 63060 78825 105100 157650 315300 41681327 83362654 125043981 166725308 208406635 250087962 416813270 500175924 625219905 833626540 1042033175 1250439810 2084066350 2500879620 3126099525 4168132700 6252199050 12504398100 43807074677 87614149354 131421224031 175228298708 219035373385 262842448062 438070746770 525684896124 657106120155 876141493540 1095176866925 1314212240310 2190353733850 2628424480620 3285530600775 4380707467700 6571061201550 13142122403100