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2100231000 = 2332537173753
BaseRepresentation
bin111110100101110…
…1111101101011000
312102100221210022100
41331023233231120
513300124343000
6544223123400
7103021445310
oct17513575530
95370853270
102100231000
119885866aa
124a7443560
1327616c04a
1415cd0a440
15c45b0a00
hex7d2efb58

2100231000 has 768 divisors, whose sum is σ = 8988744960. Its totient is φ = 431308800.

The previous prime is 2100230941. The next prime is 2100231019. The reversal of 2100231000 is 1320012.

It is a happy number.

It is a super-2 number, since 2×21002310002 = 8821940506722000000, which contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 39626974 + ... + 39627026.

It is an arithmetic number, because the mean of its divisors is an integer number (11704095).

Almost surely, 22100231000 is an apocalyptic number.

2100231000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494372480).

2100231000 is an abundant number, since it is smaller than the sum of its proper divisors (6888513960).

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

2100231000 is a wasteful number, since it uses less digits than its factorization.

2100231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2100231000 is about 45828.2772968830. The cubic root of 2100231000 is about 1280.6261178353.

Adding to 2100231000 its reverse (1320012), we get a palindrome (2101551012).

The spelling of 2100231000 in words is "two billion, one hundred million, two hundred thirty-one thousand".