Search a number
-
+
120012101010 = 2335556379901
BaseRepresentation
bin110111111000101000…
…1110101010110010010
3102110202211221101222000
41233301101311112102
53431241044213020
6131044403454430
711446004012214
oct1576121652622
9373684841860
10120012101010
114699577a85a
121b313987416
13b417863329
145b46bb65b4
1531c6096090
hex1bf1475592

120012101010 has 64 divisors (see below), whose sum is σ = 320093804160. Its totient is φ = 31997073600.

The previous prime is 120012100991. The next prime is 120012101017. The reversal of 120012101010 is 10101210021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120012100983 and 120012101001.

It is not an unprimeable number, because it can be changed into a prime (120012101017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462060 + ... + 1541960.

It is an arithmetic number, because the mean of its divisors is an integer number (5001465690).

Almost surely, 2120012101010 is an apocalyptic number.

120012101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120012101010 is an abundant number, since it is smaller than the sum of its proper divisors (200081703150).

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

120012101010 is a wasteful number, since it uses less digits than its factorization.

120012101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85480 (or 85474 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120012101010 its reverse (10101210021), we get a palindrome (130113311031).

The spelling of 120012101010 in words is "one hundred twenty billion, twelve million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 5563 11126 16689 27815 33378 50067 55630 79901 83445 100134 150201 159802 166890 239703 250335 300402 399505 479406 500670 719109 751005 799010 1198515 1438218 1502010 2157327 2397030 3595545 4314654 7191090 10786635 21573270 444489263 888978526 1333467789 2222446315 2666935578 4000403367 4444892630 6667338945 8000806734 12001210101 13334677890 20002016835 24002420202 40004033670 60006050505 120012101010