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10234343301402 = 231112719112235227
BaseRepresentation
bin1001010011101101111001…
…1001011010000100011010
31100020101121222111102010210
42110323132121122010122
52320134413341121102
633433331543151550
72104256365501413
oct224733631320432
940211558442123
1010234343301402
1132963a6a91940
121193598a455b6
1359312c6103cc
142754b841480a
1512b34347a36c
hex94ede65a11a

10234343301402 has 128 divisors (see below), whose sum is σ = 22645957459968. Its totient is φ = 3057699153600.

The previous prime is 10234343301373. The next prime is 10234343301409. The reversal of 10234343301402 is 20410334343201.

It is a happy number.

10234343301402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10234343301402.

It is not an unprimeable number, because it can be changed into a prime (10234343301409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1957973913 + ... + 1957979139.

It is an arithmetic number, because the mean of its divisors is an integer number (176921542656).

Almost surely, 210234343301402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234343301402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322978729984).

10234343301402 is an abundant number, since it is smaller than the sum of its proper divisors (12411614158566).

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

10234343301402 is a wasteful number, since it uses less digits than its factorization.

10234343301402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 10234343301402 its reverse (20410334343201), we get a palindrome (30644677644603).

The spelling of 10234343301402 in words is "ten trillion, two hundred thirty-four billion, three hundred forty-three million, three hundred one thousand, four hundred two".

Divisors: 1 2 3 6 11 22 33 66 127 191 254 381 382 573 762 1146 1223 1397 2101 2446 2794 3669 4191 4202 5227 6303 7338 8382 10454 12606 13453 15681 24257 26906 31362 40359 48514 57497 72771 80718 114994 145542 155321 172491 233593 266827 310642 344982 465963 467186 533654 663829 700779 800481 931926 998357 1327658 1401558 1600962 1708531 1991487 1996714 2569523 2995071 3417062 3982974 5125593 5139046 5990142 6392621 7302119 7708569 10251186 10981927 12785242 14604238 15417138 19177863 21906357 21963854 29666311 32945781 38355726 43812714 59332622 65891562 70318831 88998933 126791339 140637662 177997866 210956493 253582678 326329421 380374017 421912986 652658842 760748034 811862867 978988263 1220990611 1394704729 1623725734 1957976526 2435588601 2441981222 2789409458 3662971833 4184114187 4871177202 7325943666 8368228374 8930491537 13430896721 17860983074 26791474611 26861793442 40292690163 53582949222 80585380326 155065807597 310131615194 465197422791 930394845582 1705723883567 3411447767134 5117171650701 10234343301402