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20220011111120 = 245894012970769
BaseRepresentation
bin1001001100011110101101…
…00101000110001011010000
32122121000101100011221222212
410212033112211012023100
510122241040321023440
6111000540031451252
74154563503430502
oct446172645061320
978530340157885
1020220011111120
1164962931571a7
122326934986b28
13b3897b39b062
144dc921cb7d72
15250e8001d465
hex1263d69462d0

20220011111120 has 80 divisors (see below), whose sum is σ = 47541601674000. Its totient is φ = 7996815704064.

The previous prime is 20220011111107. The next prime is 20220011111159. The reversal of 20220011111120 is 2111111002202.

It can be written as a sum of positive squares in 8 ways, for example, as 2272688911936 + 17947322199184 = 1507544^2 + 4236428^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20220011111095 and 20220011111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285683096 + ... + 285753864.

It is an arithmetic number, because the mean of its divisors is an integer number (594270020925).

Almost surely, 220220011111120 is an apocalyptic number.

20220011111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220011111120 is an abundant number, since it is smaller than the sum of its proper divisors (27321590562880).

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

20220011111120 is a wasteful number, since it uses less digits than its factorization.

20220011111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111000 (or 110994 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20220011111120 its reverse (2111111002202), we get a palindrome (22331122113322).

The spelling of 20220011111120 in words is "twenty trillion, two hundred twenty billion, eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 40129 70769 80258 141538 160516 200645 283076 321032 353845 401290 566152 642064 707690 802580 1132304 1415380 1605160 2830760 3210320 3571481 5661520 6298441 7142962 12596882 14285924 17857405 25193764 28571848 31492205 35714810 50387528 57143696 62984410 71429620 100775056 125968820 142859240 251937640 285718480 503875280 2839889201 5679778402 11359556804 14199446005 22719113608 28398892010 45438227216 56797784020 113595568040 227191136080 252750138889 505500277778 1011000555556 1263750694445 2022001111112 2527501388890 4044002222224 5055002777780 10110005555560 20220011111120