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1012145100 = 2235210731531
BaseRepresentation
bin111100010101000…
…001101111001100
32121112112022001120
4330111001233030
54033102120400
6244233440540
734040043231
oct7425015714
92545468046
101012145100
1147a36965a
12242b70150
13131900235
14985cd788
155dcceca0
hex3c541bcc

1012145100 has 72 divisors (see below), whose sum is σ = 2955935808. Its totient is φ = 267374400.

The previous prime is 1012145093. The next prime is 1012145111. The reversal of 1012145100 is 15412101.

It is a happy number.

1012145100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012145100.

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, 16335 + ... + 47865.

It is an arithmetic number, because the mean of its divisors is an integer number (41054664).

Almost surely, 21012145100 is an apocalyptic number.

1012145100 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 1012145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477967904).

1012145100 is an abundant number, since it is smaller than the sum of its proper divisors (1943790708).

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

1012145100 is a wasteful number, since it uses less digits than its factorization.

1012145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31655 (or 31648 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1012145100 is about 31814.2279491425. The cubic root of 1012145100 is about 1004.0320870895.

Adding to 1012145100 its reverse (15412101), we get a palindrome (1027557201).

The spelling of 1012145100 in words is "one billion, twelve million, one hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 1070 1284 1605 2140 2675 3210 5350 6420 8025 10700 16050 31531 32100 63062 94593 126124 157655 189186 315310 378372 472965 630620 788275 945930 1576550 1891860 2364825 3153100 3373817 4729650 6747634 9459300 10121451 13495268 16869085 20242902 33738170 40485804 50607255 67476340 84345425 101214510 168690850 202429020 253036275 337381700 506072550 1012145100