Search a number
-
+
101120101002 = 23331531139741
BaseRepresentation
bin101111000101100111…
…0100100101010001010
3100200000020022100222000
41132023032210222022
53124043221213002
6114242014411430
710206564451044
oct1361316445212
9320006270860
10101120101002
113998072a608
1217720b00b76
1396c68aa7bb
144c73b12a94
15296c74161c
hex178b3a4a8a

101120101002 has 64 divisors (see below), whose sum is σ = 236336901120. Its totient is φ = 32003899200.

The previous prime is 101120100947. The next prime is 101120101009. The reversal of 101120101002 is 200101021101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101120101009) 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, 481149 + ... + 658592.

It is an arithmetic number, because the mean of its divisors is an integer number (3692764080).

Almost surely, 2101120101002 is an apocalyptic number.

101120101002 is an abundant number, since it is smaller than the sum of its proper divisors (135216800118).

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

101120101002 is a wasteful number, since it uses less digits than its factorization.

101120101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139836 (or 1139830 counting only the distinct ones).

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

Adding to 101120101002 its reverse (200101021101), we get a palindrome (301221122103).

The spelling of 101120101002 in words is "one hundred one billion, one hundred twenty million, one hundred one thousand, two".

Divisors: 1 2 3 6 9 18 27 31 53 54 62 93 106 159 186 279 318 477 558 837 954 1431 1643 1674 2862 3286 4929 9858 14787 29574 44361 88722 1139741 2279482 3419223 6838446 10257669 20515338 30773007 35331971 60406273 61546014 70663942 105995913 120812546 181218819 211991826 317987739 362437638 543656457 635975478 953963217 1087312914 1630969371 1872594463 1907926434 3261938742 3745188926 5617783389 11235566778 16853350167 33706700334 50560050501 101120101002