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1022301123220 = 22513211155911953
BaseRepresentation
bin11101110000001011110…
…01010011001010010100
310121201201220220212100201
432320011321103022110
5113222133041420340
62101345540550244
7133600401112666
oct16700571231224
93551656825321
101022301123220
11364612372943
121461666b2384
137553061c940
14376a01b0536
151b8d452679a
hexee05e53294

1022301123220 has 96 divisors (see below), whose sum is σ = 2324615005440. Its totient is φ = 375403714560.

The previous prime is 1022301123211. The next prime is 1022301123241. The reversal of 1022301123220 is 223211032201.

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, 85520764 + ... + 85532716.

It is an arithmetic number, because the mean of its divisors is an integer number (24214739640).

Almost surely, 21022301123220 is an apocalyptic number.

1022301123220 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 1022301123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162307502720).

1022301123220 is an abundant number, since it is smaller than the sum of its proper divisors (1302313882220).

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

1022301123220 is a wasteful number, since it uses less digits than its factorization.

1022301123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13745 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1022301123220 its reverse (223211032201), we get a palindrome (1245512155421).

The spelling of 1022301123220 in words is "one trillion, twenty-two billion, three hundred one million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 211 260 422 844 1055 1559 2110 2743 3118 4220 5486 6236 7795 10972 11953 13715 15590 20267 23906 27430 31180 40534 47812 54860 59765 81068 101335 119530 155389 202670 239060 310778 328949 405340 621556 657898 776945 1315796 1553890 1644745 2522083 3107780 3289490 4276337 5044166 6578980 8552674 10088332 12610415 17105348 18634727 21381685 25220830 32787079 37269454 42763370 50441660 65574158 74538908 85526740 93173635 131148316 163935395 186347270 242251451 327870790 372694540 484502902 655741580 969005804 1211257255 2422514510 3931927397 4845029020 7863854794 15727709588 19659636985 39319273970 51115056161 78638547940 102230112322 204460224644 255575280805 511150561610 1022301123220