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11434350121000 = 235314397946039
BaseRepresentation
bin1010011001100100010001…
…1000001001000000101000
31111111010001112000222211221
42212121010120021000220
52444320022112333000
640152511250031424
72260050566246602
oct246310430110050
944433045028757
1011434350121000
11370930a606664
121348078878574
1364c340445181
142b75d57d6172
1514c678a6161a
hexa6644609028

11434350121000 has 64 divisors (see below), whose sum is σ = 26774976384000. Its totient is φ = 4570561057600.

The previous prime is 11434350120971. The next prime is 11434350121027. The reversal of 11434350121000 is 12105343411.

It is a super-2 number, since 2×114343501210002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 2534020 + ... + 5412019.

It is an arithmetic number, because the mean of its divisors is an integer number (418359006000).

Almost surely, 211434350121000 is an apocalyptic number.

11434350121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434350121000 is an abundant number, since it is smaller than the sum of its proper divisors (15340626263000).

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

11434350121000 is a wasteful number, since it uses less digits than its factorization.

11434350121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7947499 (or 7947485 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 11434350121000 its reverse (12105343411), we get a palindrome (11446455464411).

The spelling of 11434350121000 in words is "eleven trillion, four hundred thirty-four billion, three hundred fifty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1439 2878 5756 7195 11512 14390 28780 35975 57560 71950 143900 179875 287800 359750 719500 1439000 7946039 15892078 31784156 39730195 63568312 79460390 158920780 198650975 317841560 397301950 794603900 993254875 1589207800 1986509750 3973019500 7946039000 11434350121 22868700242 45737400484 57171750605 91474800968 114343501210 228687002420 285858753025 457374004840 571717506050 1143435012100 1429293765125 2286870024200 2858587530250 5717175060500 11434350121000