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10233122000 = 245347108863
BaseRepresentation
bin10011000011111000…
…10000110011010000
3222102011102110101112
421201330100303100
5131424134401000
64411231152452
7511405046633
oct114174206320
928364373345
1010233122000
114381370022
121b97075728
13c710a079a
146d10c7c1a
153ed5ab235
hex261f10cd0

10233122000 has 80 divisors (see below), whose sum is σ = 25270382592. Its totient is φ = 4006121600.

The previous prime is 10233121903. The next prime is 10233122021. The reversal of 10233122000 is 22133201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 39569 + ... + 148431.

Almost surely, 210233122000 is an apocalyptic number.

10233122000 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 10233122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12635191296).

10233122000 is an abundant number, since it is smaller than the sum of its proper divisors (15037260592).

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

10233122000 is a wasteful number, since it uses less digits than its factorization.

10233122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108933 (or 108917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10233122000 its reverse (22133201), we get a palindrome (10255255201).

The spelling of 10233122000 in words is "ten billion, two hundred thirty-three million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 47000 94000 108863 217726 435452 544315 870904 1088630 1741808 2177260 2721575 4354520 5116561 5443150 8709040 10233122 10886300 13607875 20466244 21772600 25582805 27215750 40932488 43545200 51165610 54431500 81864976 102331220 108863000 127914025 204662440 217726000 255828050 409324880 511656100 639570125 1023312200 1279140250 2046624400 2558280500 5116561000 10233122000