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10131213040 = 2451310196451
BaseRepresentation
bin10010110111101111…
…00000101011110000
3222011001122221120121
421123313200223300
5131222042304130
64353151020024
7506026614154
oct113367405360
928131587517
1010131213040
114329895343
121b68b0a614
13c55c3c120
146c175b064
153e467ad7a
hex25bde0af0

10131213040 has 80 divisors (see below), whose sum is σ = 25618422816. Its totient is φ = 3703680000.

The previous prime is 10131213031. The next prime is 10131213073. The reversal of 10131213040 is 4031213101.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56815 + ... + 153265.

Almost surely, 210131213040 is an apocalyptic number.

10131213040 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 10131213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809211408).

10131213040 is an abundant number, since it is smaller than the sum of its proper divisors (15487209776).

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

10131213040 is a wasteful number, since it uses less digits than its factorization.

10131213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96578 (or 96572 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10131213040 its reverse (4031213101), we get a palindrome (14162426141).

The spelling of 10131213040 in words is "ten billion, one hundred thirty-one million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 202 208 260 404 505 520 808 1010 1040 1313 1616 2020 2626 4040 5252 6565 8080 10504 13130 21008 26260 52520 96451 105040 192902 385804 482255 771608 964510 1253863 1543216 1929020 2507726 3858040 5015452 6269315 7716080 9741551 10030904 12538630 19483102 20061808 25077260 38966204 48707755 50154520 77932408 97415510 100309040 126640163 155864816 194831020 253280326 389662040 506560652 633200815 779324080 1013121304 1266401630 2026242608 2532803260 5065606520 10131213040