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104422331310 = 235114725572633
BaseRepresentation
bin110000101000000001…
…1100101001110101110
3100222112101001001100020
41201100003211032232
53202324104100220
6115545420543010
710354453112463
oct1412003451656
9328471031306
10104422331310
1140315758070
12182a29b1a66
139b01a9102b
1450a850d66a
152ab25d5040
hex18500e53ae

104422331310 has 128 divisors (see below), whose sum is σ = 279428880384. Its totient is φ = 24756802560.

The previous prime is 104422331203. The next prime is 104422331329. The reversal of 104422331310 is 13133224401.

It is a happy number.

It is a super-2 number, since 2×1044223313102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39657754 + ... + 39660386.

It is an arithmetic number, because the mean of its divisors is an integer number (2183038128).

Almost surely, 2104422331310 is an apocalyptic number.

104422331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104422331310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139714440192).

104422331310 is an abundant number, since it is smaller than the sum of its proper divisors (175006549074).

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

104422331310 is a wasteful number, since it uses less digits than its factorization.

104422331310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 104422331310 its reverse (13133224401), we get a palindrome (117555555711).

The spelling of 104422331310 in words is "one hundred four billion, four hundred twenty-two million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2557 2585 2633 3102 5114 5170 5266 7671 7755 7899 12785 13165 15342 15510 15798 25570 26330 28127 28963 38355 39495 56254 57926 76710 78990 84381 86889 120179 123751 140635 144815 168762 173778 240358 247502 281270 289630 360537 371253 421905 434445 600895 618755 721074 742506 843810 868890 1201790 1237510 1321969 1361261 1802685 1856265 2643938 2722522 3605370 3712530 3965907 4083783 6609845 6732581 6806305 7931814 8167566 13219690 13465162 13612610 19829535 20197743 20418915 33662905 39659070 40395486 40837830 67325810 74058391 100988715 148116782 201977430 222175173 316431307 370291955 444350346 632862614 740583910 949293921 1110875865 1582156535 1898587842 2221751730 3164313070 3480744377 4746469605 6961488754 9492939210 10442233131 17403721885 20884466262 34807443770 52211165655 104422331310