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10222431225032 = 2313279228141959
BaseRepresentation
bin1001010011000001100001…
…1000011100010011001000
31100012020212210211020100002
42110300120120130103020
52314441014343200112
633424041534102132
72103355242511655
oct224603030342310
940166783736302
1010222431225032
113291343a23624
12119121364a948
13591c81751700
14274aa8362c2c
1512ad977c61c2
hex94c1861c4c8

10222431225032 has 96 divisors (see below), whose sum is σ = 21027297312000. Its totient is φ = 4656169889280.

The previous prime is 10222431224989. The next prime is 10222431225043. The reversal of 10222431225032 is 23052213422201.

It is a junction number, because it is equal to n+sod(n) for n = 10222431224986 and 10222431225004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243608069 + ... + 243650027.

It is an arithmetic number, because the mean of its divisors is an integer number (219034347000).

Almost surely, 210222431225032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222431225032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513648656000).

10222431225032 is an abundant number, since it is smaller than the sum of its proper divisors (10804866086968).

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

10222431225032 is a wasteful number, since it uses less digits than its factorization.

10222431225032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44351 (or 44334 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 10222431225032 its reverse (23052213422201), we get a palindrome (33274644647233).

The spelling of 10222431225032 in words is "ten trillion, two hundred twenty-two billion, four hundred thirty-one million, two hundred twenty-five thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 79 104 158 169 316 338 632 676 1027 1352 2054 2281 4108 4562 8216 9124 13351 18248 26702 29653 41959 53404 59306 83918 106808 118612 167836 180199 237224 335672 360398 385489 545467 720796 770978 1090934 1441592 1541956 2181868 2342587 3083912 3314761 4363736 4685174 6629522 7091071 9370348 13259044 14182142 18740696 26518088 28364284 30453631 43091893 56728568 60907262 86183786 95708479 121814524 172367572 191416958 243629048 344735144 382833916 560194609 765667832 1120389218 1244210227 2240778436 2488420454 4481556872 4976840908 7560969841 9953681816 15121939682 16174732951 30243879364 32349465902 60487758728 64698931804 98292607933 129397863608 196585215866 393170431732 786340863464 1277803903129 2555607806258 5111215612516 10222431225032