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10223302110032 = 2411417338949891
BaseRepresentation
bin1001010011000100110001…
…0010100110101101010000
31100012100010111112202222002
42110301030102212231100
52314444310320010112
633424304204133132
72103415646066204
oct224611422465520
940170114482862
1010223302110032
11329175057a3a0
1211914172371a8
1359208ccc2b8b
14274b4bca0b04
1512ade8ea11c2
hex94c4c4a6b50

10223302110032 has 160 divisors (see below), whose sum is σ = 22496733866880. Its totient is φ = 4459926528000.

The previous prime is 10223302110029. The next prime is 10223302110089. The reversal of 10223302110032 is 23001120332201.

It is a junction number, because it is equal to n+sod(n) for n = 10223302109986 and 10223302110013.

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, 204887807 + ... + 204937697.

It is an arithmetic number, because the mean of its divisors is an integer number (140604586668).

Almost surely, 210223302110032 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 10223302110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11248366933440).

10223302110032 is an abundant number, since it is smaller than the sum of its proper divisors (12273431756848).

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

10223302110032 is a wasteful number, since it uses less digits than its factorization.

10223302110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50413 (or 50407 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10223302110032 its reverse (23001120332201), we get a palindrome (33224422442233).

The spelling of 10223302110032 in words is "ten trillion, two hundred twenty-three billion, three hundred two million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 41 44 73 82 88 146 164 176 292 328 389 451 584 656 778 803 902 1168 1556 1606 1804 2993 3112 3212 3608 4279 5986 6224 6424 7216 8558 11972 12848 15949 17116 23944 28397 31898 32923 34232 47888 49891 56794 63796 65846 68464 99782 113588 127592 131692 175439 199564 227176 255184 263384 312367 350878 399128 454352 526768 548801 624734 701756 798256 1097602 1164277 1249468 1403512 2045531 2195204 2328554 2498936 2807024 3642043 4091062 4390408 4657108 4997872 7284086 8182124 8780816 9314216 12807047 14568172 16364248 18628432 19407599 22500841 25614094 29136344 32728496 38815198 40062473 45001682 51228188 58272688 77630396 80124946 90003364 102456376 149323763 155260792 160249892 180006728 204912752 213483589 298647526 310521584 320499784 360013456 426967178 597295052 640999568 795711559 853934356 1194590104 1416754727 1591423118 1642561393 1707868712 2389180208 2833509454 3182846236 3285122786 3415737424 5667018908 6365692472 6570245572 8752827149 11334037816 12731384944 13140491144 15584301997 17505654298 22668075632 26280982288 31168603994 35011308596 58086943807 62337207988 70022617192 116173887614 124674415976 140045234384 232347775228 249348831952 464695550456 638956381877 929391100912 1277912763754 2555825527508 5111651055016 10223302110032