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1231102000 = 24536110091
BaseRepresentation
bin100100101100001…
…0010000000110000
310011210112110110101
41021120102000300
510010130231000
6322054442144
742336123442
oct11130220060
93153473411
101231102000
11581a1a177
122a4363354
13168093c2b
14b9708492
1573130e6a
hex49612030

1231102000 has 80 divisors (see below), whose sum is σ = 3025904544. Its totient is φ = 484320000.

The previous prime is 1231101983. The next prime is 1231102001. The reversal of 1231102000 is 2011321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12311020002 = 3031224268808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231102001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116955 + ... + 127045.

Almost surely, 21231102000 is an apocalyptic number.

1231102000 is a gapful number since it is divisible by the number (10) 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 1231102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512952272).

1231102000 is an abundant number, since it is smaller than the sum of its proper divisors (1794802544).

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

1231102000 is a wasteful number, since it uses less digits than its factorization.

1231102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10175 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1231102000 is about 35087.0631429876. The cubic root of 1231102000 is about 1071.7611547412.

Adding to 1231102000 its reverse (2011321), we get a palindrome (1233113321).

The spelling of 1231102000 in words is "one billion, two hundred thirty-one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6100 7625 10091 12200 15250 20182 24400 30500 40364 50455 61000 80728 100910 122000 161456 201820 252275 403640 504550 615551 807280 1009100 1231102 1261375 2018200 2462204 2522750 3077755 4036400 4924408 5045500 6155510 9848816 10091000 12311020 15388775 20182000 24622040 30777550 49244080 61555100 76943875 123110200 153887750 246220400 307775500 615551000 1231102000