Search a number
-
+
101020100211 = 351009341189
BaseRepresentation
bin101111000010101000…
…1000110011001110011
3100122202021010210200000
41132011101012121303
53123342121201321
6114224043201043
710204241453412
oct1360521063163
9318667123600
10101020100211
113992a238528
12176b3516183
1396abc66834
144c64721479
152963a8b826
hex1785446673

101020100211 has 24 divisors (see below), whose sum is σ = 151340957040. Its totient is φ = 67338425952.

The previous prime is 101020100183. The next prime is 101020100219. The reversal of 101020100211 is 112001020101.

It is a happy number.

It is not a de Polignac number, because 101020100211 - 29 = 101020099699 is a prime.

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 = 101020100193 and 101020100202.

It is not an unprimeable number, because it can be changed into a prime (101020100219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2432005 + ... + 2473193.

It is an arithmetic number, because the mean of its divisors is an integer number (6305873210).

Almost surely, 2101020100211 is an apocalyptic number.

101020100211 is a deficient number, since it is larger than the sum of its proper divisors (50320856829).

101020100211 is an equidigital number, since it uses as much as digits as its factorization.

101020100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51297 (or 51285 counting only the distinct ones).

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

Adding to 101020100211 its reverse (112001020101), we get a palindrome (213021120312).

The spelling of 101020100211 in words is "one hundred one billion, twenty million, one hundred thousand, two hundred eleven".

Divisors: 1 3 9 27 81 243 10093 30279 41189 90837 123567 272511 370701 817533 1112103 2452599 3336309 10008927 415720577 1247161731 3741485193 11224455579 33673366737 101020100211