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110220010210120 = 235171300912459701
BaseRepresentation
bin11001000011111010011000…
…100011100100001101001000
3112110020221010000120110111211
4121003322120203210031020
5103421321040103210440
61030230212414102504
732134063413453556
oct3103723043441510
9473227100513454
10110220010210120
1132135053374428
12104414624aaa34
134966919131645
141d30969804bd6
15cb211e76ceea
hex643e988e4348

110220010210120 has 64 divisors (see below), whose sum is σ = 262603171292400. Its totient is φ = 41491399065600.

The previous prime is 110220010210111. The next prime is 110220010210129. The reversal of 110220010210120 is 21012010022011.

It is an interprime number because it is at equal distance from previous prime (110220010210111) and next prime (110220010210129).

It can be written as a sum of positive squares in 8 ways, for example, as 33079729244004 + 77140280966116 = 5751498^2 + 8782954^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 110220010210120.

It is not an unprimeable number, because it can be changed into a prime (110220010210129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2616270 + ... + 15075970.

Almost surely, 2110220010210120 is an apocalyptic number.

110220010210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110220010210120 is an abundant number, since it is smaller than the sum of its proper divisors (152383161082280).

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

110220010210120 is a wasteful number, since it uses less digits than its factorization.

110220010210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12472738 (or 12472734 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110220010210120 its reverse (21012010022011), we get a palindrome (131232020232131).

The spelling of 110220010210120 in words is "one hundred ten trillion, two hundred twenty billion, ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 13009 26018 52036 65045 104072 130090 221153 260180 442306 520360 884612 1105765 1769224 2211530 4423060 8846120 12459701 24919402 49838804 62298505 99677608 124597010 211814917 249194020 423629834 498388040 847259668 1059074585 1694519336 2118149170 4236298340 8472596680 162088250309 324176500618 648353001236 810441251545 1296706002472 1620882503090 2755500255253 3241765006180 5511000510506 6483530012360 11022001021012 13777501276265 22044002042024 27555002552530 55110005105060 110220010210120