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10120040210 = 257314663613
BaseRepresentation
bin10010110110011001…
…11000111100010010
3222010021122022100002
421123030320330102
5131211212241320
64352111330002
7505532631260
oct113314707422
928107568302
1010120040210
114323553aa5
121b65220902
13c53829797
146c008d430
153e36c0675
hex25b338f12

10120040210 has 32 divisors (see below), whose sum is σ = 21489933312. Its totient is φ = 3357800640.

The previous prime is 10120040197. The next prime is 10120040221. The reversal of 10120040210 is 1204002101.

10120040210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10120040191 and 10120040200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329637 + ... + 2333976.

It is an arithmetic number, because the mean of its divisors is an integer number (671560416).

Almost surely, 210120040210 is an apocalyptic number.

10120040210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120040210 is an abundant number, since it is smaller than the sum of its proper divisors (11369893102).

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

10120040210 is a wasteful number, since it uses less digits than its factorization.

10120040210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663658.

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

Adding to 10120040210 its reverse (1204002101), we get a palindrome (11324042311).

The spelling of 10120040210 in words is "ten billion, one hundred twenty million, forty thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 31 35 62 70 155 217 310 434 1085 2170 4663613 9327226 23318065 32645291 46636130 65290582 144572003 163226455 289144006 326452910 722860015 1012004021 1445720030 2024008042 5060020105 10120040210