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130233341000224 = 2571194755812503
BaseRepresentation
bin11101100111001001010000…
…000001110011101000100000
3122002010012000110021021100101
4131213021100001303220200
5114032220340244001344
61140552212041232144
736301022411401660
oct3547112001635040
9562105013237311
10130233341000224
1138550716900370
1212734116492654
135788c4a1a5657
1424234822d81a0
15100ca04ae79d4
hex767250073a20

130233341000224 has 96 divisors (see below), whose sum is σ = 320001214934016. Its totient is φ = 50686681816320.

The previous prime is 130233341000209. The next prime is 130233341000297. The reversal of 130233341000224 is 422000143332031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 130233341000192 and 130233341000201.

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 15 ways as a sum of consecutive naturals, for example, 25572844 + ... + 30239659.

It is an arithmetic number, because the mean of its divisors is an integer number (3333345988896).

Almost surely, 2130233341000224 is an apocalyptic number.

130233341000224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130233341000224 is an abundant number, since it is smaller than the sum of its proper divisors (189767873933792).

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

130233341000224 is a wasteful number, since it uses less digits than its factorization.

130233341000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55813478 (or 55813470 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 130233341000224 its reverse (422000143332031), we get a palindrome (552233484332255).

The spelling of 130233341000224 in words is "one hundred thirty trillion, two hundred thirty-three billion, three hundred forty-one million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 947 1232 1894 2464 3788 6629 7576 10417 13258 15152 20834 26516 30304 41668 53032 72919 83336 106064 145838 166672 212128 291676 333344 583352 1166704 2333408 55812503 111625006 223250012 390687521 446500024 613937533 781375042 893000048 1227875066 1562750084 1786000096 2455750132 3125500168 4297562731 4911500264 6251000336 8595125462 9823000528 12502000672 17190250924 19646001056 34380501848 52854440341 68761003696 105708880682 137522007392 211417761364 369981082387 422835522728 581398843751 739962164774 845671045456 1162797687502 1479924329548 1691342090912 2325595375004 2959848659096 4069791906257 4651190750008 5919697318192 8139583812514 9302381500016 11839394636384 16279167625028 18604763000032 32558335250056 65116670500112 130233341000224