Search a number
-
+
100211928 = 23319219763
BaseRepresentation
bin1011111100100…
…01110011011000
320222120021220220
411332101303120
5201123240203
613535520040
72324534025
oct576216330
9228507826
10100211928
1151626783
1229689020
13179b90cb
14d44854c
158be7653
hex5f91cd8

100211928 has 32 divisors (see below), whose sum is σ = 263716800. Its totient is φ = 31645728.

The previous prime is 100211927. The next prime is 100211939. The reversal of 100211928 is 829112001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100211898 and 100211907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109426 + ... + 110337.

It is an arithmetic number, because the mean of its divisors is an integer number (8241150).

Almost surely, 2100211928 is an apocalyptic number.

It is an amenable number.

100211928 is an abundant number, since it is smaller than the sum of its proper divisors (163504872).

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

100211928 is a wasteful number, since it uses less digits than its factorization.

100211928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219791 (or 219787 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 100211928 is about 10010.5907917565. The cubic root of 100211928 is about 464.4865462132.

Adding to 100211928 its reverse (829112001), we get a palindrome (929323929).

The spelling of 100211928 in words is "one hundred million, two hundred eleven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 219763 439526 659289 879052 1318578 1758104 2637156 4175497 5274312 8350994 12526491 16701988 25052982 33403976 50105964 100211928