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2220001011020 = 2251359209968947
BaseRepresentation
bin100000010011100010010…
…111110010010101001100
321212020012200120011120102
4200103202113302111030
5242333030224323040
64415504314110232
7316250460146402
oct40234227622514
97766180504512
102220001011020
11786551771661
122ba301a1b378
131314645233c0
147963d03b472
153cb3231c515
hex204e25f254c

2220001011020 has 96 divisors (see below), whose sum is σ = 5108219424000. Its totient is φ = 805404006144.

The previous prime is 2220001011013. The next prime is 2220001011121. The reversal of 2220001011020 is 201101000222.

It is a happy number.

It is a super-2 number, since 2×22200010110202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2220001010992 and 2220001011010.

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, 32164187 + ... + 32233133.

It is an arithmetic number, because the mean of its divisors is an integer number (53210619000).

Almost surely, 22220001011020 is an apocalyptic number.

2220001011020 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 2220001011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554109712000).

2220001011020 is an abundant number, since it is smaller than the sum of its proper divisors (2888218412980).

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

2220001011020 is a wasteful number, since it uses less digits than its factorization.

2220001011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71127 (or 71125 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2220001011020 its reverse (201101000222), we get a palindrome (2421102011242).

The spelling of 2220001011020 in words is "two trillion, two hundred twenty billion, one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 767 1180 1534 2099 3068 3835 4198 7670 8396 10495 15340 20990 27287 41980 54574 68947 109148 123841 136435 137894 247682 272870 275788 344735 495364 545740 619205 689470 896311 1238410 1378940 1609933 1792622 2476820 3219866 3585244 4067873 4481555 6439732 8049665 8135746 8963110 16099330 16271492 17926220 20339365 32198660 40678730 52882349 81357460 105764698 144719753 211529396 264411745 289439506 528823490 578879012 723598765 1057646980 1447197530 1881356789 2894395060 3762713578 7525427156 8538465427 9406783945 17076930854 18813567890 34153861708 37627135780 42692327135 85384654270 111000050551 170769308540 222000101102 444000202204 555000252755 1110000505510 2220001011020