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10232120402420 = 22573713031515973
BaseRepresentation
bin1001010011100101100111…
…1001101110000111110100
31100020011220001201102222212
42110321121321232013310
52320120340310334140
633432323214512552
72104150324250360
oct224713171560764
940204801642885
1010232120402420
113295466241a44
121193078505758
13592b66c21c77
142753470d62a0
1512b263238765
hex94e59e6e1f4

10232120402420 has 96 divisors (see below), whose sum is σ = 25240166665728. Its totient is φ = 3410718700032.

The previous prime is 10232120402321. The next prime is 10232120402437. The reversal of 10232120402420 is 2420402123201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5991554 + ... + 7507526.

It is an arithmetic number, because the mean of its divisors is an integer number (262918402768).

Almost surely, 210232120402420 is an apocalyptic number.

10232120402420 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 10232120402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620083332864).

10232120402420 is an abundant number, since it is smaller than the sum of its proper divisors (15008046263308).

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

10232120402420 is a wasteful number, since it uses less digits than its factorization.

10232120402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517329 (or 1517327 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10232120402420 its reverse (2420402123201), we get a palindrome (12652522525621).

The spelling of 10232120402420 in words is "ten trillion, two hundred thirty-two billion, one hundred twenty million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 1303 2590 2606 5180 5212 6515 9121 13030 18242 26060 36484 45605 48211 91210 96422 182420 192844 241055 337477 482110 674954 964220 1349908 1515973 1687385 3031946 3374770 6063892 6749540 7579865 10611811 15159730 21223622 30319460 42447244 53059055 56091001 106118110 112182002 212236220 224364004 280455005 392637007 560910010 785274014 1121820020 1570548028 1963185035 1975312819 3926370070 3950625638 7852740140 7901251276 9876564095 13827189733 19753128190 27654379466 39506256380 55308758932 69135948665 73086574303 138271897330 146173148606 276543794660 292346297212 365432871515 511606020121 730865743030 1023212040242 1461731486060 2046424080484 2558030100605 5116060201210 10232120402420