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22311030123220 = 22517417272201519
BaseRepresentation
bin1010001001010101100010…
…00001100110101011010100
32220222220200001100200220011
411010222301001212223110
510411020442202420340
6115241313514050004
74461630060656056
oct504526101465324
986886601320804
1022311030123220
117122066947a33
12260403aa19904
13c5abc88ba427
14571c06b218d6
1528a563a620ea
hex144ab1066ad4

22311030123220 has 96 divisors (see below), whose sum is σ = 50889138693120. Its totient is φ = 8183306588160.

The previous prime is 22311030123199. The next prime is 22311030123253. The reversal of 22311030123220 is 2232103011322.

It is a super-3 number, since 3×223110301232203 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22311030123191 and 22311030123200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9033621 + ... + 11235139.

It is an arithmetic number, because the mean of its divisors is an integer number (530095194720).

Almost surely, 222311030123220 is an apocalyptic number.

22311030123220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22311030123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444569346560).

22311030123220 is an abundant number, since it is smaller than the sum of its proper divisors (28578108569900).

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

22311030123220 is a wasteful number, since it uses less digits than its factorization.

22311030123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202313 (or 2202311 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 22311030123220 its reverse (2232103011322), we get a palindrome (24543133134542).

The spelling of 22311030123220 in words is "twenty-two trillion, three hundred eleven billion, thirty million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 727 820 1394 1454 2788 2908 3485 3635 6970 7270 12359 13940 14540 24718 29807 49436 59614 61795 119228 123590 149035 247180 298070 506719 596140 1013438 2026876 2201519 2533595 4403038 5067190 8806076 10134380 11007595 22015190 37425823 44030380 74851646 90262279 149703292 180524558 187129115 361049116 374258230 451311395 748516460 902622790 1534458743 1600504313 1805245580 3068917486 3201008626 6137834972 6402017252 7672293715 8002521565 15344587430 16005043130 27208573321 30689174860 32010086260 54417146642 65620676833 108834293284 131241353666 136042866605 262482707332 272085733210 328103384165 544171466420 656206768330 1115551506161 1312413536660 2231103012322 4462206024644 5577757530805 11155515061610 22311030123220