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101260533140 = 225136121130259
BaseRepresentation
bin101111001001110011…
…0010001110110010100
3100200101000120001122022
41132103212101312110
53124340144030030
6114303552352312
710213221221144
oct1362346216624
9320330501568
10101260533140
1139a42a27328
121775bb45698
139719a09740
144c8862a924
152979c30de5
hex1793991d94

101260533140 has 96 divisors (see below), whose sum is σ = 233869614720. Its totient is φ = 36600076800.

The previous prime is 101260533131. The next prime is 101260533149. The reversal of 101260533140 is 41335062101.

It is an interprime number because it is at equal distance from previous prime (101260533131) and next prime (101260533149).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101260533149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3331331 + ... + 3361589.

It is an arithmetic number, because the mean of its divisors is an integer number (2436141820).

Almost surely, 2101260533140 is an apocalyptic number.

101260533140 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 101260533140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116934807360).

101260533140 is an abundant number, since it is smaller than the sum of its proper divisors (132609081580).

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

101260533140 is a wasteful number, since it uses less digits than its factorization.

101260533140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30553 (or 30551 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 101260533140 its reverse (41335062101), we get a palindrome (142595595241).

The spelling of 101260533140 in words is "one hundred one billion, two hundred sixty million, five hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 211 244 260 305 422 610 793 844 1055 1220 1586 2110 2743 3172 3965 4220 5486 7930 10972 12871 13715 15860 25742 27430 30259 51484 54860 60518 64355 121036 128710 151295 167323 257420 302590 334646 393367 605180 669292 786734 836615 1573468 1673230 1845799 1966835 3346460 3691598 3933670 6384649 7383196 7867340 9228995 12769298 18457990 23995387 25538596 31923245 36915980 47990774 63846490 83000437 95981548 119976935 127692980 166000874 239953870 332001748 389463589 415002185 479907740 778927178 830004370 1557854356 1660008740 1947317945 3894635890 5063026657 7789271780 10126053314 20252106628 25315133285 50630266570 101260533140