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1220443442130 = 2351159268923311
BaseRepresentation
bin10001110000101000000…
…110010000101111010010
311022200011210122120110210
4101300220012100233102
5124443432010122010
62332355230304550
7154113504044103
oct21605006205722
94280153576423
101220443442130
11430650562810
12178644058156
138b119b04423
14430d96823aa
1521b2e84bb20
hex11c28190bd2

1220443442130 has 128 divisors (see below), whose sum is σ = 3250849075200. Its totient is φ = 290729779200.

The previous prime is 1220443442129. The next prime is 1220443442149. The reversal of 1220443442130 is 312443440221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52343175 + ... + 52366485.

It is an arithmetic number, because the mean of its divisors is an integer number (25397258400).

Almost surely, 21220443442130 is an apocalyptic number.

1220443442130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220443442130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625424537600).

1220443442130 is an abundant number, since it is smaller than the sum of its proper divisors (2030405633070).

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

1220443442130 is a wasteful number, since it uses less digits than its factorization.

1220443442130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26080.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1220443442130 its reverse (312443440221), we get a palindrome (1532886882351).

The spelling of 1220443442130 in words is "one trillion, two hundred twenty billion, four hundred forty-three million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 354 590 649 885 1298 1770 1947 2689 3245 3894 5378 6490 8067 9735 13445 16134 19470 23311 26890 29579 40335 46622 59158 69933 80670 88737 116555 139866 147895 158651 177474 233110 256421 295790 317302 349665 443685 475953 512842 699330 769263 793255 887370 951906 1282105 1375349 1538526 1586510 1745161 2379765 2564210 2750698 3490322 3846315 4126047 4759530 5235483 6876745 7692630 8252094 8725805 10470966 13753490 15128839 17451610 20630235 26177415 30257678 41260470 45386517 52354830 62683279 75644195 90773034 125366558 151288390 188049837 226932585 313416395 376099674 453865170 626832790 689516069 940249185 1379032138 1880498370 2068548207 3447580345 3698313461 4137096414 6895160690 7396626922 10342741035 11094940383 18491567305 20685482070 22189880766 36983134610 40681448071 55474701915 81362896142 110949403830 122044344213 203407240355 244088688426 406814480710 610221721065 1220443442130