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11220122100020 = 22573137157357293
BaseRepresentation
bin1010001101000110001101…
…1001000110000100110100
31110201122002121012221210112
42203101203121012010310
52432312302224200040
635510241500042152
72235425041153061
oct243214331060464
943648077187715
1011220122100020
113636477465739
121312650233358
1363508c4cb892
142ab0b1c43c68
15146cdb467365
hexa3463646134

11220122100020 has 96 divisors (see below), whose sum is σ = 24212682472608. Its totient is φ = 4366256873472.

The previous prime is 11220122099983. The next prime is 11220122100101. The reversal of 11220122100020 is 2000122102211.

It can be written as a sum of positive squares in 16 ways, for example, as 4664658287524 + 6555463812496 = 2159782^2 + 2560364^2 .

It is a super-2 number, since 2×112201221000202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11220122099968 and 11220122100004.

It is a congruent number.

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, 31224494 + ... + 31581786.

It is an arithmetic number, because the mean of its divisors is an integer number (252215442423).

Almost surely, 211220122100020 is an apocalyptic number.

11220122100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220122100020 is an abundant number, since it is smaller than the sum of its proper divisors (12992560372588).

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

11220122100020 is a wasteful number, since it uses less digits than its factorization.

11220122100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357669 (or 357667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11220122100020 its reverse (2000122102211), we get a palindrome (13220244202231).

The spelling of 11220122100020 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 73 137 146 157 274 292 314 365 548 628 685 730 785 1370 1460 1570 2740 3140 10001 11461 20002 21509 22922 40004 43018 45844 50005 57305 86036 100010 107545 114610 200020 215090 229220 357293 430180 714586 1429172 1570157 1786465 3140314 3572930 6280628 7145860 7850785 15701570 26082389 31403140 48949141 52164778 56095001 97898282 104329556 112190002 130411945 195796564 224380004 244745705 260823890 280475005 489491410 521647780 560950010 978982820 1121900020 3573287293 4094935073 7146574586 7685015137 8189870146 14293149172 15370030274 16379740292 17866436465 20474675365 30740060548 35732872930 38425075685 40949350730 71465745860 76850151370 81898701460 153700302740 561006105001 1122012210002 2244024420004 2805030525005 5610061050010 11220122100020