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101101100006130 = 23572999465734471
BaseRepresentation
bin10110111111001101101111…
…001001101111101011110010
3111020222011121111020101202020
4112333031233021233223302
5101222420023100144010
6555005112033132310
730203212335566610
oct2677155711575362
9436864544211666
10101101100006130
112a239810287044
12b40a0a19ba096
134454a3caa4903
141ad746841a6b0
15ba4d11b08470
hex5bf36f26faf2

101101100006130 has 128 divisors (see below), whose sum is σ = 277465955328000. Its totient is φ = 23095486817280.

The previous prime is 101101100006129. The next prime is 101101100006167. The reversal of 101101100006130 is 31600001101101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2932914795 + ... + 2932949265.

It is an arithmetic number, because the mean of its divisors is an integer number (2167702776000).

Almost surely, 2101101100006130 is an apocalyptic number.

101101100006130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101100006130 is an abundant number, since it is smaller than the sum of its proper divisors (176364855321870).

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

101101100006130 is a wasteful number, since it uses less digits than its factorization.

101101100006130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42144.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101101100006130 its reverse (31600001101101), we get a palindrome (132701101107231).

The spelling of 101101100006130 in words is "one hundred one trillion, one hundred one billion, one hundred million, six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 2999 4657 5998 8997 9314 13971 14995 17994 20993 23285 27942 29990 32599 34471 41986 44985 46570 62979 65198 68942 69855 89970 97797 103413 104965 125958 139710 162995 172355 195594 206826 209930 241297 314895 325990 344710 482594 488985 517065 629790 723891 977970 1034130 1206485 1447782 2412970 3619455 7238910 13966343 27932686 41899029 69831715 83798058 97764401 103378529 139663430 160531447 195528802 206757058 209495145 293293203 310135587 321062894 418990290 481594341 488822005 516892645 586586406 620271174 723649703 802657235 963188682 977644010 1033785290 1123720129 1447299406 1466466015 1550677935 1605314470 2170949109 2247440258 2407971705 2932932030 3101355870 3371160387 3618248515 4341898218 4815943410 5618600645 6742320774 7236497030 10854745545 11237201290 16855801935 21709491090 33711603870 481433809553 962867619106 1444301428659 2407169047765 2888602857318 3370036666871 4814338095530 6740073333742 7221507143295 10110110000613 14443014286590 16850183334355 20220220001226 33700366668710 50550550003065 101101100006130