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10220120101 = 103271936493
BaseRepresentation
bin10011000010010101…
…01010100000100101
3222101020221220010201
421201022222200211
5131412322320401
64410044350501
7511156405342
oct114112524045
928336856121
1010220120101
114374a9a554
121b92845431
13c6b49a759
146cd4a17c9
153ec38db01
hex2612aa825

10220120101 has 8 divisors (see below), whose sum is σ = 10323422720. Its totient is φ = 10116896112.

The previous prime is 10220120093. The next prime is 10220120107. The reversal of 10220120101 is 10102102201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10220120101 - 23 = 10220120093 is a prime.

It is a super-3 number, since 3×102201201013 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220120107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261811 + ... + 298303.

It is an arithmetic number, because the mean of its divisors is an integer number (1290427840).

Almost surely, 210220120101 is an apocalyptic number.

It is an amenable number.

10220120101 is a deficient number, since it is larger than the sum of its proper divisors (103302619).

10220120101 is a wasteful number, since it uses less digits than its factorization.

10220120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39315.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10220120101 its reverse (10102102201), we get a palindrome (20322222302).

It can be divided in two parts, 10220 and 120101, that added together give a 4-th power (130321 = 194).

The spelling of 10220120101 in words is "ten billion, two hundred twenty million, one hundred twenty thousand, one hundred one".

Divisors: 1 103 2719 36493 280057 3758779 99224467 10220120101