Search a number
-
+
100130100 = 22352747681
BaseRepresentation
bin1011111011111…
…01110100110100
320222102010200020
411331331310310
5201113130400
613534045140
72324043330
oct575756464
9228363606
10100130100
1151580254
12296497b0
131798aaa5
14d4267c0
158bcd2a0
hex5f7dd34

100130100 has 72 divisors (see below), whose sum is σ = 331103808. Its totient is φ = 22886400.

The previous prime is 100130099. The next prime is 100130117. The reversal of 100130100 is 1031001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21741 + ... + 25940.

It is an arithmetic number, because the mean of its divisors is an integer number (4598664).

Almost surely, 2100130100 is an apocalyptic number.

100130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100130100 is an abundant number, since it is smaller than the sum of its proper divisors (230973708).

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

100130100 is a wasteful number, since it uses less digits than its factorization.

100130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47705 (or 47698 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 100130100 is about 10006.5028856239. The cubic root of 100130100 is about 464.3600863672.

Adding to 100130100 its reverse (1031001), we get a palindrome (101161101).

Subtracting from 100130100 its reverse (1031001), we obtain a palindrome (99099099).

The spelling of 100130100 in words is "one hundred million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 47681 95362 143043 190724 238405 286086 333767 476810 572172 667534 715215 953620 1001301 1192025 1335068 1430430 1668835 2002602 2384050 2860860 3337670 3576075 4005204 4768100 5006505 6675340 7152150 8344175 10013010 14304300 16688350 20026020 25032525 33376700 50065050 100130100