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101134403500 = 22531323965101
BaseRepresentation
bin101111000110000010…
…1001000011110101100
3100200001020020000022011
41132030011020132230
53124110401403000
6114243245131004
710210130150224
oct1361405103654
9320036200264
10101134403500
1139988809259
1217725859a64
1396c9847810
144c75997084
15296db192ba
hex178c1487ac

101134403500 has 96 divisors (see below), whose sum is σ = 238867050240. Its totient is φ = 37185120000.

The previous prime is 101134403449. The next prime is 101134403507. The reversal of 101134403500 is 5304431101.

It is not an unprimeable number, because it can be changed into a prime (101134403507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520950 + ... + 1586050.

It is an arithmetic number, because the mean of its divisors is an integer number (2488198440).

Almost surely, 2101134403500 is an apocalyptic number.

101134403500 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 101134403500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119433525120).

101134403500 is an abundant number, since it is smaller than the sum of its proper divisors (137732646740).

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

101134403500 is a wasteful number, since it uses less digits than its factorization.

101134403500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65372 (or 65360 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 101134403500 its reverse (5304431101), we get a palindrome (106438834601).

The spelling of 101134403500 in words is "one hundred one billion, one hundred thirty-four million, four hundred three thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 239 250 260 325 478 500 650 956 1195 1300 1625 2390 3107 3250 4780 5975 6214 6500 11950 12428 15535 23900 29875 31070 59750 62140 65101 77675 119500 130202 155350 260404 310700 325505 388375 651010 776750 846313 1302020 1553500 1627525 1692626 3255050 3385252 4231565 6510100 8137625 8463130 15559139 16275250 16926260 21157825 31118278 32550500 42315650 62236556 77795695 84631300 105789125 155591390 202268807 211578250 311182780 388978475 404537614 423156500 777956950 809075228 1011344035 1555913900 1944892375 2022688070 3889784750 4045376140 5056720175 7779569500 10113440350 20226880700 25283600875 50567201750 101134403500