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10222321332030 = 2356129337975021
BaseRepresentation
bin1001010011000001000111…
…0101001110111100111110
31100012020121011001002110220
42110300101311032330332
52314440303230111110
633424023010442210
72103352436444133
oct224602165167476
940166534032426
1010222321332030
113291297995365
1211911a2893366
13591c64a55c72
14274a9791858a
1512ad8cd1a370
hex94c11d4ef3e

10222321332030 has 128 divisors (see below), whose sum is σ = 25032440071296. Its totient is φ = 2670877747200.

The previous prime is 10222321332029. The next prime is 10222321332031. The reversal of 10222321332030 is 3023312322201.

It is an interprime number because it is at equal distance from previous prime (10222321332029) and next prime (10222321332031).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222321332031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2035910920 + ... + 2035915940.

It is an arithmetic number, because the mean of its divisors is an integer number (195565938057).

Almost surely, 210222321332030 is an apocalyptic number.

10222321332030 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 10222321332030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12516220035648).

10222321332030 is an abundant number, since it is smaller than the sum of its proper divisors (14810118739266).

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

10222321332030 is a wasteful number, since it uses less digits than its factorization.

10222321332030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10222321332030 its reverse (3023312322201), we get a palindrome (13245633654231).

The spelling of 10222321332030 in words is "ten trillion, two hundred twenty-two billion, three hundred twenty-one million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 293 305 366 586 610 879 915 1465 1758 1830 2930 3797 4395 5021 7594 8790 10042 11391 15063 17873 18985 22782 25105 30126 35746 37970 50210 53619 56955 75315 89365 107238 113910 150630 178730 231617 268095 306281 463234 536190 612562 694851 918843 1112521 1158085 1389702 1471153 1531405 1837686 2225042 2316170 2942306 3062810 3337563 3474255 4413459 4594215 5562605 6675126 6948510 7355765 8826918 9188430 11125210 14711530 16687815 19064737 22067295 33375630 38129474 44134590 57194211 67863781 89740333 95323685 114388422 135727562 179480666 190647370 203591343 269220999 285971055 339318905 407182686 448701665 538441998 571942110 678637810 897403330 1017956715 1162948957 1346104995 2035913430 2325897914 2692209990 3488846871 5585967941 5814744785 6977693742 11171935882 11629489570 16757903823 17444234355 27929839705 33515807646 34888468710 55859679410 83789519115 167579038230 340744044401 681488088802 1022232133203 1703720222005 2044464266406 3407440444010 5111160666015 10222321332030