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10110000000100 = 225271113100999001
BaseRepresentation
bin1001001100011110101011…
…1101010110110001100100
31022210111200021122020100011
42103013222331112301210
52311120240000000400
633300245254500004
72062265140045120
oct223075275266144
938714607566304
1010110000000100
113248699484210
121173476664604
135844a4655490
1426d480312580
15127eb703a8ba
hex931eaf56c64

10110000000100 has 144 divisors (see below), whose sum is σ = 29456156935296. Its totient is φ = 2908771200000.

The previous prime is 10110000000083. The next prime is 10110000000241. The reversal of 10110000000100 is 100000001101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 10110000000100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50399401 + ... + 50599600.

It is an arithmetic number, because the mean of its divisors is an integer number (204556645384).

Almost surely, 210110000000100 is an apocalyptic number.

10110000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110000000100 is an abundant number, since it is smaller than the sum of its proper divisors (19346156935196).

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

10110000000100 is a wasteful number, since it uses less digits than its factorization.

10110000000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100999046 (or 100999039 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10110000000100 its reverse (100000001101), we get a palindrome (10210000001201).

The spelling of 10110000000100 in words is "ten trillion, one hundred ten billion, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 100999001 201998002 403996004 504995005 706993007 1009990010 1110989011 1312987013 1413986014 2019980020 2221978022 2524975025 2625974026 2827972028 3534965035 4443956044 5049950050 5251948052 5554945055 6564935065 7069930070 7776923077 9190909091 10099900100 11109890110 13129870130 14139860140 14442857143 15553846154 17674825175 18381818182 22219780220 26259740260 27774725275 28885714286 31107692308 32824675325 35349650350 36763636364 38884615385 45954545455 55549450550 57771428572 65649350650 70699300700 72214285715 77769230770 91909090910 101100000001 111098901100 131298701300 144428571430 155538461540 183818181820 194423076925 202200000002 229772727275 288857142860 361071428575 388846153850 404400000004 459545454550 505500000005 722142857150 777692307700 919090909100 1011000000010 1444285714300 2022000000020 2527500000025 5055000000050 10110000000100