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105032130040 = 23519137336857
BaseRepresentation
bin110000111010001100…
…1110001110111111000
3101001002212111000221101
41201310121301313320
53210101211130130
6120130123021144
710405536242365
oct1416431616770
9331085430841
10105032130040
11405a8998962
121843306a7b4
139b9b20a996
1451254c746c
152aeaddb1ca
hex1874671df8

105032130040 has 64 divisors (see below), whose sum is σ = 238202933760. Its totient is φ = 41679713280.

The previous prime is 105032130011. The next prime is 105032130041. The reversal of 105032130040 is 40031230501.

It is a super-2 number, since 2×1050321300402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105032130041) 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, 2831292 + ... + 2868148.

It is an arithmetic number, because the mean of its divisors is an integer number (3721920840).

Almost surely, 2105032130040 is an apocalyptic number.

105032130040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105032130040 is an abundant number, since it is smaller than the sum of its proper divisors (133170803720).

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

105032130040 is a wasteful number, since it uses less digits than its factorization.

105032130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37432 (or 37428 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 105032130040 its reverse (40031230501), we get a palindrome (145063360541).

The spelling of 105032130040 in words is "one hundred five billion, thirty-two million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 191 373 382 746 764 955 1492 1528 1865 1910 2984 3730 3820 7460 7640 14920 36857 71243 73714 142486 147428 184285 284972 294856 356215 368570 569944 712430 737140 1424860 1474280 2849720 7039687 13747661 14079374 27495322 28158748 35198435 54990644 56317496 68738305 70396870 109981288 137476610 140793740 274953220 281587480 549906440 2625803251 5251606502 10503213004 13129016255 21006426008 26258032510 52516065020 105032130040