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101011110000010 = 2573163211180437
BaseRepresentation
bin10110111101111001111011…
…010101000111010110001010
3111020122120022221011102122121
4112331321323111013112022
5101214431223130000020
6554455510251041454
730163545320266000
oct2675717325072612
9436576287142577
10101011110000010
112a204631271561
12b3b476844028a
1344493cb071492
141ad2d6c9a0a70
15ba27e65a2baa
hex5bde7b54758a

101011110000010 has 64 divisors (see below), whose sum is σ = 212037457363200. Its totient is φ = 34631976442560.

The previous prime is 101011110000007. The next prime is 101011110000019. The reversal of 101011110000010 is 10000011110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101011109999948 and 101011110000002.

It is not an unprimeable number, because it can be changed into a prime (101011110000019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559723512 + ... + 559903948.

It is an arithmetic number, because the mean of its divisors is an integer number (3313085271300).

Almost surely, 2101011110000010 is an apocalyptic number.

101011110000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011110000010 is an abundant number, since it is smaller than the sum of its proper divisors (111026347363190).

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

101011110000010 is a wasteful number, since it uses less digits than its factorization.

101011110000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343676 (or 343662 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101011110000010 its reverse (10000011110101), we get a palindrome (111011121110111).

The spelling of 101011110000010 in words is "one hundred one trillion, eleven billion, one hundred ten million, ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 3430 163211 180437 326422 360874 816055 902185 1142477 1263059 1632110 1804370 2284954 2526118 5712385 6315295 7997339 8841413 11424770 12630590 15994678 17682826 39986695 44207065 55981373 61889891 79973390 88414130 111962746 123779782 279906865 309449455 559813730 618898910 29449303207 58898606414 147246516035 206145122449 294493032070 412290244898 1030725612245 1443015857143 2061451224490 2886031714286 7215079285715 10101111000001 14430158571430 20202222000002 50505555000005 101011110000010