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10222111222020 = 22325523145374731
BaseRepresentation
bin1001010011000000010101…
…0011101110100100000100
31100012020001111200101201200
42110300011103232210010
52314434340433101040
633423550103222500
72103344305521405
oct224600523564404
940166044611650
1010222111222020
11329119a327625
121191144447a30
13591c3036c009
14274a77a639ac
1512ad79665630
hex94c054ee904

10222111222020 has 144 divisors (see below), whose sum is σ = 31088154482112. Its totient is φ = 2718775445760.

The previous prime is 10222111221997. The next prime is 10222111222031. The reversal of 10222111222020 is 2022211122201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10222111221984 and 10222111222002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136748055 + ... + 136822785.

Almost surely, 210222111222020 is an apocalyptic number.

10222111222020 is a gapful number since it is divisible by the number (10) 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 10222111222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544077241056).

10222111222020 is an abundant number, since it is smaller than the sum of its proper divisors (20866043260092).

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

10222111222020 is a wasteful number, since it uses less digits than its factorization.

10222111222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76722 (or 76717 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222111222020 its reverse (2022211122201), we get a palindrome (12244322344221).

The spelling of 10222111222020 in words is "ten trillion, two hundred twenty-two billion, one hundred eleven million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 523 1046 1453 1569 2092 2615 2906 3138 4359 4707 5230 5812 6276 7265 7845 8718 9414 10460 13077 14530 15690 17436 18828 21795 23535 26154 29060 31380 43590 47070 52308 65385 74731 87180 94140 130770 149462 224193 261540 298924 373655 448386 672579 747310 759919 896772 1120965 1345158 1494620 1519838 2241930 2279757 2690316 3039676 3362895 3799595 4483860 4559514 6725790 6839271 7599190 9119028 11398785 13451580 13678542 15198380 22797570 27357084 34196355 39084313 45595140 68392710 78168626 108584143 117252939 136785420 156337252 195421565 217168286 234505878 325752429 351758817 390843130 434336572 469011756 542920715 586264695 651504858 703517634 781686260 977257287 1085841430 1172529390 1303009716 1407035268 1628762145 1758794085 1954514574 2171682860 2345058780 3257524290 3517588170 3909029148 4886286435 6515048580 7035176340 9772572870 19545145740 56789506789 113579013578 170368520367 227158027156 283947533945 340737040734 511105561101 567895067890 681474081468 851842601835 1022211122202 1135790135780 1703685203670 2044422244404 2555527805505 3407370407340 5111055611010 10222111222020