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1023112533400 = 2352171272369413
BaseRepresentation
bin11101110001101100100…
…00100101010110011000
310121210211110201202212121
432320312100211112120
5113230313302032100
62102002244151024
7133626453021226
oct16706620452630
93553743652777
101023112533400
11364999397371
12146352398474
137562c7691c9
1437739c69b16
151b9308a451a
hexee36425598

1023112533400 has 96 divisors (see below), whose sum is σ = 2538495383040. Its totient is φ = 382138767360.

The previous prime is 1023112533299. The next prime is 1023112533419. The reversal of 1023112533400 is 43352113201.

It is a happy number.

It is a super-2 number, since 2×10231125334002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752907 + ... + 1616506.

It is an arithmetic number, because the mean of its divisors is an integer number (26442660240).

Almost surely, 21023112533400 is an apocalyptic number.

1023112533400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023112533400 is an abundant number, since it is smaller than the sum of its proper divisors (1515382849640).

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

1023112533400 is a wasteful number, since it uses less digits than its factorization.

1023112533400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369573 (or 2369564 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 1023112533400 its reverse (43352113201), we get a palindrome (1066464646601).

The spelling of 1023112533400 in words is "one trillion, twenty-three billion, one hundred twelve million, five hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 127 136 170 200 254 340 425 508 635 680 850 1016 1270 1700 2159 2540 3175 3400 4318 5080 6350 8636 10795 12700 17272 21590 25400 43180 53975 86360 107950 215900 431800 2369413 4738826 9477652 11847065 18955304 23694130 40280021 47388260 59235325 80560042 94776520 118470650 161120084 201400105 236941300 300915451 322240168 402800210 473882600 601830902 805600420 1007000525 1203661804 1504577255 1611200840 2014001050 2407323608 3009154510 4028002100 5115562667 6018309020 7522886275 8056004200 10231125334 12036618040 15045772550 20462250668 25577813335 30091545100 40924501336 51155626670 60183090200 102311253340 127889066675 204622506680 255778133350 511556266700 1023112533400