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1012141400 = 235219266353
BaseRepresentation
bin111100010101000…
…000110101011000
32121112112002222112
4330111000311120
54033102011100
6244233411452
734040026364
oct7425006530
92545462875
101012141400
1147a3668a6
12242b69b88
131318cb64a
14985cc2a4
155dccdb35
hex3c540d58

1012141400 has 48 divisors (see below), whose sum is σ = 2477092200. Its totient is φ = 383546880.

The previous prime is 1012141387. The next prime is 1012141411. The reversal of 1012141400 is 41412101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129377 + ... + 136976.

Almost surely, 21012141400 is an apocalyptic number.

1012141400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012141400 is an abundant number, since it is smaller than the sum of its proper divisors (1464950800).

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

1012141400 is a wasteful number, since it uses less digits than its factorization.

1012141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266388 (or 266379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1012141400 is about 31814.1697990062. The cubic root of 1012141400 is about 1004.0308636407.

Adding to 1012141400 its reverse (41412101), we get a palindrome (1053553501).

The spelling of 1012141400 in words is "one billion, twelve million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 266353 532706 1065412 1331765 2130824 2663530 5060707 5327060 6658825 10121414 10654120 13317650 20242828 25303535 26635300 40485656 50607070 53270600 101214140 126517675 202428280 253035350 506070700 1012141400